From 27d7e80436f2e5b02b11b19b486a1a0a8d0246bc Mon Sep 17 00:00:00 2001
From: Roy Stegeman <roystegeman@live.nl>
Date: Fri, 6 Dec 2024 14:54:19 +0000
Subject: [PATCH] add N3LO scalevars

---
 .../scalevariationtheoryids.yaml              | 1079 +++++++++++++++--
 1 file changed, 992 insertions(+), 87 deletions(-)

diff --git a/validphys2/src/validphys/scalevariations/scalevariationtheoryids.yaml b/validphys2/src/validphys/scalevariations/scalevariationtheoryids.yaml
index bdc95506c9..798afc3c9c 100644
--- a/validphys2/src/validphys/scalevariations/scalevariationtheoryids.yaml
+++ b/validphys2/src/validphys/scalevariations/scalevariationtheoryids.yaml
@@ -188,91 +188,6 @@ scale_variations_for:
       (0.125): 40_003_011
       (0.130): 40_003_012
 
-  # N3LO: MHOU + IHOU
-  - theoryid: 722
-    variations:
-      (0, 0, 0, 0): 722 # central th
-      (1, 0, 0, 0): 723 # anomalous dimensions variations
-      (2, 0, 0, 0): 724
-      (3, 0, 0, 0): 725
-      (4, 0, 0, 0): 726
-      (5, 0, 0, 0): 727
-      (6, 0, 0, 0): 728
-      (7, 0, 0, 0): 729
-      (8, 0, 0, 0): 730
-      (9, 0, 0, 0): 731
-      (10, 0, 0, 0): 732
-      (11, 0, 0, 0): 733
-      (12, 0, 0, 0): 734
-      (13, 0, 0, 0): 735
-      (14, 0, 0, 0): 736
-      (15, 0, 0, 0): 737
-      (16, 0, 0, 0): 738
-      (17, 0, 0, 0): 739
-      (18, 0, 0, 0): 740
-      (19, 0, 0, 0): 741
-      (0, 1, 0, 0): 742
-      (0, 2, 0, 0): 743
-      (0, 3, 0, 0): 744
-      (0, 4, 0, 0): 745
-      (0, 5, 0, 0): 746
-      (0, 6, 0, 0): 747
-      (0, 7, 0, 0): 748
-      (0, 8, 0, 0): 749
-      (0, 9, 0, 0): 750
-      (0, 10, 0, 0): 751
-      (0, 11, 0, 0): 752
-      (0, 12, 0, 0): 753
-      (0, 13, 0, 0): 754
-      (0, 14, 0, 0): 755
-      (0, 15, 0, 0): 756
-      (0, 16, 0, 0): 757
-      (0, 17, 0, 0): 758
-      (0, 18, 0, 0): 759
-      (0, 19, 0, 0): 760
-      (0, 20, 0, 0): 761
-      (0, 21, 0, 0): 762
-      (0, 0, 1, 0): 763
-      (0, 0, 2, 0): 764
-      (0, 0, 3, 0): 765
-      (0, 0, 4, 0): 766
-      (0, 0, 5, 0): 767
-      (0, 0, 6, 0): 768
-      (0, 0, 7, 0): 769
-      (0, 0, 8, 0): 770
-      (0, 0, 9, 0): 771
-      (0, 0, 10, 0): 772
-      (0, 0, 11, 0): 773
-      (0, 0, 12, 0): 774
-      (0, 0, 13, 0): 775
-      (0, 0, 14, 0): 776
-      (0, 0, 15, 0): 777
-      (0, 0, 0, 1): 778
-      (0, 0, 0, 2): 779
-      (0, 0, 0, 3): 780
-      (0, 0, 0, 4): 781
-      (0, 0, 0, 5): 782
-      (0, 0, 0, 6): 783
-      # scale variations
-      (0.5, 1): 784
-      (1, 1): 722
-      (2, 1): 785
-      (0.5, 0.5): 786
-      (1, 0.5): 787
-      (2, 0.5): 788
-      (0.5, 2): 789
-      (1, 2): 790
-      (2, 2): 791
-      # DIS coeff functions fact variations
-      lower bound DIS: 792
-      central DIS: 722
-      upper bound DIS: 793
-      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
-      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
-      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
-      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
-      (1, 2 hadronic): 797 # As 790 but DIS from 722
-
   - theoryid: 824 # N3LO+QED
     variations:
       (0, 0, 0, 0): 722 # central th
@@ -808,7 +723,7 @@ scale_variations_for:
       (2, 1): 711
       (2, 2): 712
 
-  - theoryid: 40_002_006 # N3LO, alphas=0.119
+  - theoryid: 40_002_001 # N3LO, alphas=0.114
     variations:
       (0, 0, 0, 0): 722 # central th
       (1, 0, 0, 0): 723 # anomalous dimensions variations
@@ -907,7 +822,997 @@ scale_variations_for:
       (0.125): 40_002_012
       (0.130): 40_002_013
 
-  - theoryid: 40_002_007 # N3LO, alphas=0.120
+  - theoryid: 40_002_002 # N3LO, alphas=0.115
+    variations:
+      (0, 0, 0, 0): 722 # central th
+      (1, 0, 0, 0): 723 # anomalous dimensions variations
+      (2, 0, 0, 0): 724
+      (3, 0, 0, 0): 725
+      (4, 0, 0, 0): 726
+      (5, 0, 0, 0): 727
+      (6, 0, 0, 0): 728
+      (7, 0, 0, 0): 729
+      (8, 0, 0, 0): 730
+      (9, 0, 0, 0): 731
+      (10, 0, 0, 0): 732
+      (11, 0, 0, 0): 733
+      (12, 0, 0, 0): 734
+      (13, 0, 0, 0): 735
+      (14, 0, 0, 0): 736
+      (15, 0, 0, 0): 737
+      (16, 0, 0, 0): 738
+      (17, 0, 0, 0): 739
+      (18, 0, 0, 0): 740
+      (19, 0, 0, 0): 741
+      (0, 1, 0, 0): 742
+      (0, 2, 0, 0): 743
+      (0, 3, 0, 0): 744
+      (0, 4, 0, 0): 745
+      (0, 5, 0, 0): 746
+      (0, 6, 0, 0): 747
+      (0, 7, 0, 0): 748
+      (0, 8, 0, 0): 749
+      (0, 9, 0, 0): 750
+      (0, 10, 0, 0): 751
+      (0, 11, 0, 0): 752
+      (0, 12, 0, 0): 753
+      (0, 13, 0, 0): 754
+      (0, 14, 0, 0): 755
+      (0, 15, 0, 0): 756
+      (0, 16, 0, 0): 757
+      (0, 17, 0, 0): 758
+      (0, 18, 0, 0): 759
+      (0, 19, 0, 0): 760
+      (0, 20, 0, 0): 761
+      (0, 21, 0, 0): 762
+      (0, 0, 1, 0): 763
+      (0, 0, 2, 0): 764
+      (0, 0, 3, 0): 765
+      (0, 0, 4, 0): 766
+      (0, 0, 5, 0): 767
+      (0, 0, 6, 0): 768
+      (0, 0, 7, 0): 769
+      (0, 0, 8, 0): 770
+      (0, 0, 9, 0): 771
+      (0, 0, 10, 0): 772
+      (0, 0, 11, 0): 773
+      (0, 0, 12, 0): 774
+      (0, 0, 13, 0): 775
+      (0, 0, 14, 0): 776
+      (0, 0, 15, 0): 777
+      (0, 0, 0, 1): 778
+      (0, 0, 0, 2): 779
+      (0, 0, 0, 3): 780
+      (0, 0, 0, 4): 781
+      (0, 0, 0, 5): 782
+      (0, 0, 0, 6): 783
+      # scale variations
+      (0.5, 1): 784
+      (1, 1): 722
+      (2, 1): 785
+      (0.5, 0.5): 786
+      (1, 0.5): 787
+      (2, 0.5): 788
+      (0.5, 2): 789
+      (1, 2): 790
+      (2, 2): 791
+      # DIS coeff functions fact variations
+      lower bound DIS: 792
+      central DIS: 722
+      upper bound DIS: 793
+      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
+      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
+      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
+      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
+      (1, 2 hadronic): 797 # As 790 but DIS from 722
+      # alphas variations
+      (0.106): 40_002_000
+      (0.114): 40_002_001
+      (0.115): 40_002_002
+      (0.116): 40_002_003
+      (0.117): 40_002_004
+      (0.118): 722
+      (0.119): 40_002_006
+      (0.120): 40_002_007
+      (0.121): 40_002_008
+      (0.122): 40_002_009
+      (0.123): 40_002_010
+      (0.124): 40_002_011
+      (0.125): 40_002_012
+      (0.130): 40_002_013
+
+  - theoryid: 40_002_003 # N3LO, alphas=0.116
+    variations:
+      (0, 0, 0, 0): 722 # central th
+      (1, 0, 0, 0): 723 # anomalous dimensions variations
+      (2, 0, 0, 0): 724
+      (3, 0, 0, 0): 725
+      (4, 0, 0, 0): 726
+      (5, 0, 0, 0): 727
+      (6, 0, 0, 0): 728
+      (7, 0, 0, 0): 729
+      (8, 0, 0, 0): 730
+      (9, 0, 0, 0): 731
+      (10, 0, 0, 0): 732
+      (11, 0, 0, 0): 733
+      (12, 0, 0, 0): 734
+      (13, 0, 0, 0): 735
+      (14, 0, 0, 0): 736
+      (15, 0, 0, 0): 737
+      (16, 0, 0, 0): 738
+      (17, 0, 0, 0): 739
+      (18, 0, 0, 0): 740
+      (19, 0, 0, 0): 741
+      (0, 1, 0, 0): 742
+      (0, 2, 0, 0): 743
+      (0, 3, 0, 0): 744
+      (0, 4, 0, 0): 745
+      (0, 5, 0, 0): 746
+      (0, 6, 0, 0): 747
+      (0, 7, 0, 0): 748
+      (0, 8, 0, 0): 749
+      (0, 9, 0, 0): 750
+      (0, 10, 0, 0): 751
+      (0, 11, 0, 0): 752
+      (0, 12, 0, 0): 753
+      (0, 13, 0, 0): 754
+      (0, 14, 0, 0): 755
+      (0, 15, 0, 0): 756
+      (0, 16, 0, 0): 757
+      (0, 17, 0, 0): 758
+      (0, 18, 0, 0): 759
+      (0, 19, 0, 0): 760
+      (0, 20, 0, 0): 761
+      (0, 21, 0, 0): 762
+      (0, 0, 1, 0): 763
+      (0, 0, 2, 0): 764
+      (0, 0, 3, 0): 765
+      (0, 0, 4, 0): 766
+      (0, 0, 5, 0): 767
+      (0, 0, 6, 0): 768
+      (0, 0, 7, 0): 769
+      (0, 0, 8, 0): 770
+      (0, 0, 9, 0): 771
+      (0, 0, 10, 0): 772
+      (0, 0, 11, 0): 773
+      (0, 0, 12, 0): 774
+      (0, 0, 13, 0): 775
+      (0, 0, 14, 0): 776
+      (0, 0, 15, 0): 777
+      (0, 0, 0, 1): 778
+      (0, 0, 0, 2): 779
+      (0, 0, 0, 3): 780
+      (0, 0, 0, 4): 781
+      (0, 0, 0, 5): 782
+      (0, 0, 0, 6): 783
+      # scale variations
+      (0.5, 1): 784
+      (1, 1): 722
+      (2, 1): 785
+      (0.5, 0.5): 786
+      (1, 0.5): 787
+      (2, 0.5): 788
+      (0.5, 2): 789
+      (1, 2): 790
+      (2, 2): 791
+      # DIS coeff functions fact variations
+      lower bound DIS: 792
+      central DIS: 722
+      upper bound DIS: 793
+      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
+      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
+      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
+      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
+      (1, 2 hadronic): 797 # As 790 but DIS from 722
+      # alphas variations
+      (0.106): 40_002_000
+      (0.114): 40_002_001
+      (0.115): 40_002_002
+      (0.116): 40_002_003
+      (0.117): 40_002_004
+      (0.118): 722
+      (0.119): 40_002_006
+      (0.120): 40_002_007
+      (0.121): 40_002_008
+      (0.122): 40_002_009
+      (0.123): 40_002_010
+      (0.124): 40_002_011
+      (0.125): 40_002_012
+      (0.130): 40_002_013
+
+  - theoryid: 40_002_004 # N3LO, alphas=0.117
+    variations:
+      (0, 0, 0, 0): 722 # central th
+      (1, 0, 0, 0): 723 # anomalous dimensions variations
+      (2, 0, 0, 0): 724
+      (3, 0, 0, 0): 725
+      (4, 0, 0, 0): 726
+      (5, 0, 0, 0): 727
+      (6, 0, 0, 0): 728
+      (7, 0, 0, 0): 729
+      (8, 0, 0, 0): 730
+      (9, 0, 0, 0): 731
+      (10, 0, 0, 0): 732
+      (11, 0, 0, 0): 733
+      (12, 0, 0, 0): 734
+      (13, 0, 0, 0): 735
+      (14, 0, 0, 0): 736
+      (15, 0, 0, 0): 737
+      (16, 0, 0, 0): 738
+      (17, 0, 0, 0): 739
+      (18, 0, 0, 0): 740
+      (19, 0, 0, 0): 741
+      (0, 1, 0, 0): 742
+      (0, 2, 0, 0): 743
+      (0, 3, 0, 0): 744
+      (0, 4, 0, 0): 745
+      (0, 5, 0, 0): 746
+      (0, 6, 0, 0): 747
+      (0, 7, 0, 0): 748
+      (0, 8, 0, 0): 749
+      (0, 9, 0, 0): 750
+      (0, 10, 0, 0): 751
+      (0, 11, 0, 0): 752
+      (0, 12, 0, 0): 753
+      (0, 13, 0, 0): 754
+      (0, 14, 0, 0): 755
+      (0, 15, 0, 0): 756
+      (0, 16, 0, 0): 757
+      (0, 17, 0, 0): 758
+      (0, 18, 0, 0): 759
+      (0, 19, 0, 0): 760
+      (0, 20, 0, 0): 761
+      (0, 21, 0, 0): 762
+      (0, 0, 1, 0): 763
+      (0, 0, 2, 0): 764
+      (0, 0, 3, 0): 765
+      (0, 0, 4, 0): 766
+      (0, 0, 5, 0): 767
+      (0, 0, 6, 0): 768
+      (0, 0, 7, 0): 769
+      (0, 0, 8, 0): 770
+      (0, 0, 9, 0): 771
+      (0, 0, 10, 0): 772
+      (0, 0, 11, 0): 773
+      (0, 0, 12, 0): 774
+      (0, 0, 13, 0): 775
+      (0, 0, 14, 0): 776
+      (0, 0, 15, 0): 777
+      (0, 0, 0, 1): 778
+      (0, 0, 0, 2): 779
+      (0, 0, 0, 3): 780
+      (0, 0, 0, 4): 781
+      (0, 0, 0, 5): 782
+      (0, 0, 0, 6): 783
+      # scale variations
+      (0.5, 1): 784
+      (1, 1): 722
+      (2, 1): 785
+      (0.5, 0.5): 786
+      (1, 0.5): 787
+      (2, 0.5): 788
+      (0.5, 2): 789
+      (1, 2): 790
+      (2, 2): 791
+      # DIS coeff functions fact variations
+      lower bound DIS: 792
+      central DIS: 722
+      upper bound DIS: 793
+      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
+      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
+      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
+      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
+      (1, 2 hadronic): 797 # As 790 but DIS from 722
+      # alphas variations
+      (0.106): 40_002_000
+      (0.114): 40_002_001
+      (0.115): 40_002_002
+      (0.116): 40_002_003
+      (0.117): 40_002_004
+      (0.118): 722
+      (0.119): 40_002_006
+      (0.120): 40_002_007
+      (0.121): 40_002_008
+      (0.122): 40_002_009
+      (0.123): 40_002_010
+      (0.124): 40_002_011
+      (0.125): 40_002_012
+      (0.130): 40_002_013
+
+  - theoryid: 722 # N3LO baseline
+    variations:
+      (0, 0, 0, 0): 722 # central th
+      (1, 0, 0, 0): 723 # anomalous dimensions variations
+      (2, 0, 0, 0): 724
+      (3, 0, 0, 0): 725
+      (4, 0, 0, 0): 726
+      (5, 0, 0, 0): 727
+      (6, 0, 0, 0): 728
+      (7, 0, 0, 0): 729
+      (8, 0, 0, 0): 730
+      (9, 0, 0, 0): 731
+      (10, 0, 0, 0): 732
+      (11, 0, 0, 0): 733
+      (12, 0, 0, 0): 734
+      (13, 0, 0, 0): 735
+      (14, 0, 0, 0): 736
+      (15, 0, 0, 0): 737
+      (16, 0, 0, 0): 738
+      (17, 0, 0, 0): 739
+      (18, 0, 0, 0): 740
+      (19, 0, 0, 0): 741
+      (0, 1, 0, 0): 742
+      (0, 2, 0, 0): 743
+      (0, 3, 0, 0): 744
+      (0, 4, 0, 0): 745
+      (0, 5, 0, 0): 746
+      (0, 6, 0, 0): 747
+      (0, 7, 0, 0): 748
+      (0, 8, 0, 0): 749
+      (0, 9, 0, 0): 750
+      (0, 10, 0, 0): 751
+      (0, 11, 0, 0): 752
+      (0, 12, 0, 0): 753
+      (0, 13, 0, 0): 754
+      (0, 14, 0, 0): 755
+      (0, 15, 0, 0): 756
+      (0, 16, 0, 0): 757
+      (0, 17, 0, 0): 758
+      (0, 18, 0, 0): 759
+      (0, 19, 0, 0): 760
+      (0, 20, 0, 0): 761
+      (0, 21, 0, 0): 762
+      (0, 0, 1, 0): 763
+      (0, 0, 2, 0): 764
+      (0, 0, 3, 0): 765
+      (0, 0, 4, 0): 766
+      (0, 0, 5, 0): 767
+      (0, 0, 6, 0): 768
+      (0, 0, 7, 0): 769
+      (0, 0, 8, 0): 770
+      (0, 0, 9, 0): 771
+      (0, 0, 10, 0): 772
+      (0, 0, 11, 0): 773
+      (0, 0, 12, 0): 774
+      (0, 0, 13, 0): 775
+      (0, 0, 14, 0): 776
+      (0, 0, 15, 0): 777
+      (0, 0, 0, 1): 778
+      (0, 0, 0, 2): 779
+      (0, 0, 0, 3): 780
+      (0, 0, 0, 4): 781
+      (0, 0, 0, 5): 782
+      (0, 0, 0, 6): 783
+      # scale variations
+      (0.5, 1): 784
+      (1, 1): 722
+      (2, 1): 785
+      (0.5, 0.5): 786
+      (1, 0.5): 787
+      (2, 0.5): 788
+      (0.5, 2): 789
+      (1, 2): 790
+      (2, 2): 791
+      # DIS coeff functions fact variations
+      lower bound DIS: 792
+      central DIS: 722
+      upper bound DIS: 793
+      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
+      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
+      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
+      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
+      (1, 2 hadronic): 797 # As 790 but DIS from 722
+      # alphas variations
+      (0.106): 40_002_000
+      (0.114): 40_002_001
+      (0.115): 40_002_002
+      (0.116): 40_002_003
+      (0.117): 40_002_004
+      (0.118): 722
+      (0.119): 40_002_006
+      (0.120): 40_002_007
+      (0.121): 40_002_008
+      (0.122): 40_002_009
+      (0.123): 40_002_010
+      (0.124): 40_002_011
+      (0.125): 40_002_012
+      (0.130): 40_002_013
+
+  - theoryid: 40_002_006 # N3LO, alphas=0.119
+    variations:
+      (0, 0, 0, 0): 722 # central th
+      (1, 0, 0, 0): 723 # anomalous dimensions variations
+      (2, 0, 0, 0): 724
+      (3, 0, 0, 0): 725
+      (4, 0, 0, 0): 726
+      (5, 0, 0, 0): 727
+      (6, 0, 0, 0): 728
+      (7, 0, 0, 0): 729
+      (8, 0, 0, 0): 730
+      (9, 0, 0, 0): 731
+      (10, 0, 0, 0): 732
+      (11, 0, 0, 0): 733
+      (12, 0, 0, 0): 734
+      (13, 0, 0, 0): 735
+      (14, 0, 0, 0): 736
+      (15, 0, 0, 0): 737
+      (16, 0, 0, 0): 738
+      (17, 0, 0, 0): 739
+      (18, 0, 0, 0): 740
+      (19, 0, 0, 0): 741
+      (0, 1, 0, 0): 742
+      (0, 2, 0, 0): 743
+      (0, 3, 0, 0): 744
+      (0, 4, 0, 0): 745
+      (0, 5, 0, 0): 746
+      (0, 6, 0, 0): 747
+      (0, 7, 0, 0): 748
+      (0, 8, 0, 0): 749
+      (0, 9, 0, 0): 750
+      (0, 10, 0, 0): 751
+      (0, 11, 0, 0): 752
+      (0, 12, 0, 0): 753
+      (0, 13, 0, 0): 754
+      (0, 14, 0, 0): 755
+      (0, 15, 0, 0): 756
+      (0, 16, 0, 0): 757
+      (0, 17, 0, 0): 758
+      (0, 18, 0, 0): 759
+      (0, 19, 0, 0): 760
+      (0, 20, 0, 0): 761
+      (0, 21, 0, 0): 762
+      (0, 0, 1, 0): 763
+      (0, 0, 2, 0): 764
+      (0, 0, 3, 0): 765
+      (0, 0, 4, 0): 766
+      (0, 0, 5, 0): 767
+      (0, 0, 6, 0): 768
+      (0, 0, 7, 0): 769
+      (0, 0, 8, 0): 770
+      (0, 0, 9, 0): 771
+      (0, 0, 10, 0): 772
+      (0, 0, 11, 0): 773
+      (0, 0, 12, 0): 774
+      (0, 0, 13, 0): 775
+      (0, 0, 14, 0): 776
+      (0, 0, 15, 0): 777
+      (0, 0, 0, 1): 778
+      (0, 0, 0, 2): 779
+      (0, 0, 0, 3): 780
+      (0, 0, 0, 4): 781
+      (0, 0, 0, 5): 782
+      (0, 0, 0, 6): 783
+      # scale variations
+      (0.5, 1): 784
+      (1, 1): 722
+      (2, 1): 785
+      (0.5, 0.5): 786
+      (1, 0.5): 787
+      (2, 0.5): 788
+      (0.5, 2): 789
+      (1, 2): 790
+      (2, 2): 791
+      # DIS coeff functions fact variations
+      lower bound DIS: 792
+      central DIS: 722
+      upper bound DIS: 793
+      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
+      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
+      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
+      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
+      (1, 2 hadronic): 797 # As 790 but DIS from 722
+      # alphas variations
+      (0.106): 40_002_000
+      (0.114): 40_002_001
+      (0.115): 40_002_002
+      (0.116): 40_002_003
+      (0.117): 40_002_004
+      (0.118): 722
+      (0.119): 40_002_006
+      (0.120): 40_002_007
+      (0.121): 40_002_008
+      (0.122): 40_002_009
+      (0.123): 40_002_010
+      (0.124): 40_002_011
+      (0.125): 40_002_012
+      (0.130): 40_002_013
+
+  - theoryid: 40_002_007 # N3LO, alphas=0.120
+    variations:
+      (0, 0, 0, 0): 722 # central th
+      (1, 0, 0, 0): 723 # anomalous dimensions variations
+      (2, 0, 0, 0): 724
+      (3, 0, 0, 0): 725
+      (4, 0, 0, 0): 726
+      (5, 0, 0, 0): 727
+      (6, 0, 0, 0): 728
+      (7, 0, 0, 0): 729
+      (8, 0, 0, 0): 730
+      (9, 0, 0, 0): 731
+      (10, 0, 0, 0): 732
+      (11, 0, 0, 0): 733
+      (12, 0, 0, 0): 734
+      (13, 0, 0, 0): 735
+      (14, 0, 0, 0): 736
+      (15, 0, 0, 0): 737
+      (16, 0, 0, 0): 738
+      (17, 0, 0, 0): 739
+      (18, 0, 0, 0): 740
+      (19, 0, 0, 0): 741
+      (0, 1, 0, 0): 742
+      (0, 2, 0, 0): 743
+      (0, 3, 0, 0): 744
+      (0, 4, 0, 0): 745
+      (0, 5, 0, 0): 746
+      (0, 6, 0, 0): 747
+      (0, 7, 0, 0): 748
+      (0, 8, 0, 0): 749
+      (0, 9, 0, 0): 750
+      (0, 10, 0, 0): 751
+      (0, 11, 0, 0): 752
+      (0, 12, 0, 0): 753
+      (0, 13, 0, 0): 754
+      (0, 14, 0, 0): 755
+      (0, 15, 0, 0): 756
+      (0, 16, 0, 0): 757
+      (0, 17, 0, 0): 758
+      (0, 18, 0, 0): 759
+      (0, 19, 0, 0): 760
+      (0, 20, 0, 0): 761
+      (0, 21, 0, 0): 762
+      (0, 0, 1, 0): 763
+      (0, 0, 2, 0): 764
+      (0, 0, 3, 0): 765
+      (0, 0, 4, 0): 766
+      (0, 0, 5, 0): 767
+      (0, 0, 6, 0): 768
+      (0, 0, 7, 0): 769
+      (0, 0, 8, 0): 770
+      (0, 0, 9, 0): 771
+      (0, 0, 10, 0): 772
+      (0, 0, 11, 0): 773
+      (0, 0, 12, 0): 774
+      (0, 0, 13, 0): 775
+      (0, 0, 14, 0): 776
+      (0, 0, 15, 0): 777
+      (0, 0, 0, 1): 778
+      (0, 0, 0, 2): 779
+      (0, 0, 0, 3): 780
+      (0, 0, 0, 4): 781
+      (0, 0, 0, 5): 782
+      (0, 0, 0, 6): 783
+      # scale variations
+      (0.5, 1): 784
+      (1, 1): 722
+      (2, 1): 785
+      (0.5, 0.5): 786
+      (1, 0.5): 787
+      (2, 0.5): 788
+      (0.5, 2): 789
+      (1, 2): 790
+      (2, 2): 791
+      # DIS coeff functions fact variations
+      lower bound DIS: 792
+      central DIS: 722
+      upper bound DIS: 793
+      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
+      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
+      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
+      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
+      (1, 2 hadronic): 797 # As 790 but DIS from 722
+      # alphas variations
+      (0.106): 40_002_000
+      (0.114): 40_002_001
+      (0.115): 40_002_002
+      (0.116): 40_002_003
+      (0.117): 40_002_004
+      (0.118): 722
+      (0.119): 40_002_006
+      (0.120): 40_002_007
+      (0.121): 40_002_008
+      (0.122): 40_002_009
+      (0.123): 40_002_010
+      (0.124): 40_002_011
+      (0.125): 40_002_012
+      (0.130): 40_002_013
+
+  - theoryid: 40_002_008 # N3LO, alphas=0.121
+    variations:
+      (0, 0, 0, 0): 722 # central th
+      (1, 0, 0, 0): 723 # anomalous dimensions variations
+      (2, 0, 0, 0): 724
+      (3, 0, 0, 0): 725
+      (4, 0, 0, 0): 726
+      (5, 0, 0, 0): 727
+      (6, 0, 0, 0): 728
+      (7, 0, 0, 0): 729
+      (8, 0, 0, 0): 730
+      (9, 0, 0, 0): 731
+      (10, 0, 0, 0): 732
+      (11, 0, 0, 0): 733
+      (12, 0, 0, 0): 734
+      (13, 0, 0, 0): 735
+      (14, 0, 0, 0): 736
+      (15, 0, 0, 0): 737
+      (16, 0, 0, 0): 738
+      (17, 0, 0, 0): 739
+      (18, 0, 0, 0): 740
+      (19, 0, 0, 0): 741
+      (0, 1, 0, 0): 742
+      (0, 2, 0, 0): 743
+      (0, 3, 0, 0): 744
+      (0, 4, 0, 0): 745
+      (0, 5, 0, 0): 746
+      (0, 6, 0, 0): 747
+      (0, 7, 0, 0): 748
+      (0, 8, 0, 0): 749
+      (0, 9, 0, 0): 750
+      (0, 10, 0, 0): 751
+      (0, 11, 0, 0): 752
+      (0, 12, 0, 0): 753
+      (0, 13, 0, 0): 754
+      (0, 14, 0, 0): 755
+      (0, 15, 0, 0): 756
+      (0, 16, 0, 0): 757
+      (0, 17, 0, 0): 758
+      (0, 18, 0, 0): 759
+      (0, 19, 0, 0): 760
+      (0, 20, 0, 0): 761
+      (0, 21, 0, 0): 762
+      (0, 0, 1, 0): 763
+      (0, 0, 2, 0): 764
+      (0, 0, 3, 0): 765
+      (0, 0, 4, 0): 766
+      (0, 0, 5, 0): 767
+      (0, 0, 6, 0): 768
+      (0, 0, 7, 0): 769
+      (0, 0, 8, 0): 770
+      (0, 0, 9, 0): 771
+      (0, 0, 10, 0): 772
+      (0, 0, 11, 0): 773
+      (0, 0, 12, 0): 774
+      (0, 0, 13, 0): 775
+      (0, 0, 14, 0): 776
+      (0, 0, 15, 0): 777
+      (0, 0, 0, 1): 778
+      (0, 0, 0, 2): 779
+      (0, 0, 0, 3): 780
+      (0, 0, 0, 4): 781
+      (0, 0, 0, 5): 782
+      (0, 0, 0, 6): 783
+      # scale variations
+      (0.5, 1): 784
+      (1, 1): 722
+      (2, 1): 785
+      (0.5, 0.5): 786
+      (1, 0.5): 787
+      (2, 0.5): 788
+      (0.5, 2): 789
+      (1, 2): 790
+      (2, 2): 791
+      # DIS coeff functions fact variations
+      lower bound DIS: 792
+      central DIS: 722
+      upper bound DIS: 793
+      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
+      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
+      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
+      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
+      (1, 2 hadronic): 797 # As 790 but DIS from 722
+      # alphas variations
+      (0.106): 40_002_000
+      (0.114): 40_002_001
+      (0.115): 40_002_002
+      (0.116): 40_002_003
+      (0.117): 40_002_004
+      (0.118): 722
+      (0.119): 40_002_006
+      (0.120): 40_002_007
+      (0.121): 40_002_008
+      (0.122): 40_002_009
+      (0.123): 40_002_010
+      (0.124): 40_002_011
+      (0.125): 40_002_012
+      (0.130): 40_002_013
+
+  - theoryid: 40_002_009 # N3LO, alphas=0.122
+    variations:
+      (0, 0, 0, 0): 722 # central th
+      (1, 0, 0, 0): 723 # anomalous dimensions variations
+      (2, 0, 0, 0): 724
+      (3, 0, 0, 0): 725
+      (4, 0, 0, 0): 726
+      (5, 0, 0, 0): 727
+      (6, 0, 0, 0): 728
+      (7, 0, 0, 0): 729
+      (8, 0, 0, 0): 730
+      (9, 0, 0, 0): 731
+      (10, 0, 0, 0): 732
+      (11, 0, 0, 0): 733
+      (12, 0, 0, 0): 734
+      (13, 0, 0, 0): 735
+      (14, 0, 0, 0): 736
+      (15, 0, 0, 0): 737
+      (16, 0, 0, 0): 738
+      (17, 0, 0, 0): 739
+      (18, 0, 0, 0): 740
+      (19, 0, 0, 0): 741
+      (0, 1, 0, 0): 742
+      (0, 2, 0, 0): 743
+      (0, 3, 0, 0): 744
+      (0, 4, 0, 0): 745
+      (0, 5, 0, 0): 746
+      (0, 6, 0, 0): 747
+      (0, 7, 0, 0): 748
+      (0, 8, 0, 0): 749
+      (0, 9, 0, 0): 750
+      (0, 10, 0, 0): 751
+      (0, 11, 0, 0): 752
+      (0, 12, 0, 0): 753
+      (0, 13, 0, 0): 754
+      (0, 14, 0, 0): 755
+      (0, 15, 0, 0): 756
+      (0, 16, 0, 0): 757
+      (0, 17, 0, 0): 758
+      (0, 18, 0, 0): 759
+      (0, 19, 0, 0): 760
+      (0, 20, 0, 0): 761
+      (0, 21, 0, 0): 762
+      (0, 0, 1, 0): 763
+      (0, 0, 2, 0): 764
+      (0, 0, 3, 0): 765
+      (0, 0, 4, 0): 766
+      (0, 0, 5, 0): 767
+      (0, 0, 6, 0): 768
+      (0, 0, 7, 0): 769
+      (0, 0, 8, 0): 770
+      (0, 0, 9, 0): 771
+      (0, 0, 10, 0): 772
+      (0, 0, 11, 0): 773
+      (0, 0, 12, 0): 774
+      (0, 0, 13, 0): 775
+      (0, 0, 14, 0): 776
+      (0, 0, 15, 0): 777
+      (0, 0, 0, 1): 778
+      (0, 0, 0, 2): 779
+      (0, 0, 0, 3): 780
+      (0, 0, 0, 4): 781
+      (0, 0, 0, 5): 782
+      (0, 0, 0, 6): 783
+      # scale variations
+      (0.5, 1): 784
+      (1, 1): 722
+      (2, 1): 785
+      (0.5, 0.5): 786
+      (1, 0.5): 787
+      (2, 0.5): 788
+      (0.5, 2): 789
+      (1, 2): 790
+      (2, 2): 791
+      # DIS coeff functions fact variations
+      lower bound DIS: 792
+      central DIS: 722
+      upper bound DIS: 793
+      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
+      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
+      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
+      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
+      (1, 2 hadronic): 797 # As 790 but DIS from 722
+      # alphas variations
+      (0.106): 40_002_000
+      (0.114): 40_002_001
+      (0.115): 40_002_002
+      (0.116): 40_002_003
+      (0.117): 40_002_004
+      (0.118): 722
+      (0.119): 40_002_006
+      (0.120): 40_002_007
+      (0.121): 40_002_008
+      (0.122): 40_002_009
+      (0.123): 40_002_010
+      (0.124): 40_002_011
+      (0.125): 40_002_012
+      (0.130): 40_002_013
+
+  - theoryid: 40_002_010 # N3LO, alphas=0.123
+    variations:
+      (0, 0, 0, 0): 722 # central th
+      (1, 0, 0, 0): 723 # anomalous dimensions variations
+      (2, 0, 0, 0): 724
+      (3, 0, 0, 0): 725
+      (4, 0, 0, 0): 726
+      (5, 0, 0, 0): 727
+      (6, 0, 0, 0): 728
+      (7, 0, 0, 0): 729
+      (8, 0, 0, 0): 730
+      (9, 0, 0, 0): 731
+      (10, 0, 0, 0): 732
+      (11, 0, 0, 0): 733
+      (12, 0, 0, 0): 734
+      (13, 0, 0, 0): 735
+      (14, 0, 0, 0): 736
+      (15, 0, 0, 0): 737
+      (16, 0, 0, 0): 738
+      (17, 0, 0, 0): 739
+      (18, 0, 0, 0): 740
+      (19, 0, 0, 0): 741
+      (0, 1, 0, 0): 742
+      (0, 2, 0, 0): 743
+      (0, 3, 0, 0): 744
+      (0, 4, 0, 0): 745
+      (0, 5, 0, 0): 746
+      (0, 6, 0, 0): 747
+      (0, 7, 0, 0): 748
+      (0, 8, 0, 0): 749
+      (0, 9, 0, 0): 750
+      (0, 10, 0, 0): 751
+      (0, 11, 0, 0): 752
+      (0, 12, 0, 0): 753
+      (0, 13, 0, 0): 754
+      (0, 14, 0, 0): 755
+      (0, 15, 0, 0): 756
+      (0, 16, 0, 0): 757
+      (0, 17, 0, 0): 758
+      (0, 18, 0, 0): 759
+      (0, 19, 0, 0): 760
+      (0, 20, 0, 0): 761
+      (0, 21, 0, 0): 762
+      (0, 0, 1, 0): 763
+      (0, 0, 2, 0): 764
+      (0, 0, 3, 0): 765
+      (0, 0, 4, 0): 766
+      (0, 0, 5, 0): 767
+      (0, 0, 6, 0): 768
+      (0, 0, 7, 0): 769
+      (0, 0, 8, 0): 770
+      (0, 0, 9, 0): 771
+      (0, 0, 10, 0): 772
+      (0, 0, 11, 0): 773
+      (0, 0, 12, 0): 774
+      (0, 0, 13, 0): 775
+      (0, 0, 14, 0): 776
+      (0, 0, 15, 0): 777
+      (0, 0, 0, 1): 778
+      (0, 0, 0, 2): 779
+      (0, 0, 0, 3): 780
+      (0, 0, 0, 4): 781
+      (0, 0, 0, 5): 782
+      (0, 0, 0, 6): 783
+      # scale variations
+      (0.5, 1): 784
+      (1, 1): 722
+      (2, 1): 785
+      (0.5, 0.5): 786
+      (1, 0.5): 787
+      (2, 0.5): 788
+      (0.5, 2): 789
+      (1, 2): 790
+      (2, 2): 791
+      # DIS coeff functions fact variations
+      lower bound DIS: 792
+      central DIS: 722
+      upper bound DIS: 793
+      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
+      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
+      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
+      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
+      (1, 2 hadronic): 797 # As 790 but DIS from 722
+      # alphas variations
+      (0.106): 40_002_000
+      (0.114): 40_002_001
+      (0.115): 40_002_002
+      (0.116): 40_002_003
+      (0.117): 40_002_004
+      (0.118): 722
+      (0.119): 40_002_006
+      (0.120): 40_002_007
+      (0.121): 40_002_008
+      (0.122): 40_002_009
+      (0.123): 40_002_010
+      (0.124): 40_002_011
+      (0.125): 40_002_012
+      (0.130): 40_002_013
+
+  - theoryid: 40_002_011 # N3LO, alphas=0.124
+    variations:
+      (0, 0, 0, 0): 722 # central th
+      (1, 0, 0, 0): 723 # anomalous dimensions variations
+      (2, 0, 0, 0): 724
+      (3, 0, 0, 0): 725
+      (4, 0, 0, 0): 726
+      (5, 0, 0, 0): 727
+      (6, 0, 0, 0): 728
+      (7, 0, 0, 0): 729
+      (8, 0, 0, 0): 730
+      (9, 0, 0, 0): 731
+      (10, 0, 0, 0): 732
+      (11, 0, 0, 0): 733
+      (12, 0, 0, 0): 734
+      (13, 0, 0, 0): 735
+      (14, 0, 0, 0): 736
+      (15, 0, 0, 0): 737
+      (16, 0, 0, 0): 738
+      (17, 0, 0, 0): 739
+      (18, 0, 0, 0): 740
+      (19, 0, 0, 0): 741
+      (0, 1, 0, 0): 742
+      (0, 2, 0, 0): 743
+      (0, 3, 0, 0): 744
+      (0, 4, 0, 0): 745
+      (0, 5, 0, 0): 746
+      (0, 6, 0, 0): 747
+      (0, 7, 0, 0): 748
+      (0, 8, 0, 0): 749
+      (0, 9, 0, 0): 750
+      (0, 10, 0, 0): 751
+      (0, 11, 0, 0): 752
+      (0, 12, 0, 0): 753
+      (0, 13, 0, 0): 754
+      (0, 14, 0, 0): 755
+      (0, 15, 0, 0): 756
+      (0, 16, 0, 0): 757
+      (0, 17, 0, 0): 758
+      (0, 18, 0, 0): 759
+      (0, 19, 0, 0): 760
+      (0, 20, 0, 0): 761
+      (0, 21, 0, 0): 762
+      (0, 0, 1, 0): 763
+      (0, 0, 2, 0): 764
+      (0, 0, 3, 0): 765
+      (0, 0, 4, 0): 766
+      (0, 0, 5, 0): 767
+      (0, 0, 6, 0): 768
+      (0, 0, 7, 0): 769
+      (0, 0, 8, 0): 770
+      (0, 0, 9, 0): 771
+      (0, 0, 10, 0): 772
+      (0, 0, 11, 0): 773
+      (0, 0, 12, 0): 774
+      (0, 0, 13, 0): 775
+      (0, 0, 14, 0): 776
+      (0, 0, 15, 0): 777
+      (0, 0, 0, 1): 778
+      (0, 0, 0, 2): 779
+      (0, 0, 0, 3): 780
+      (0, 0, 0, 4): 781
+      (0, 0, 0, 5): 782
+      (0, 0, 0, 6): 783
+      # scale variations
+      (0.5, 1): 784
+      (1, 1): 722
+      (2, 1): 785
+      (0.5, 0.5): 786
+      (1, 0.5): 787
+      (2, 0.5): 788
+      (0.5, 2): 789
+      (1, 2): 790
+      (2, 2): 791
+      # DIS coeff functions fact variations
+      lower bound DIS: 792
+      central DIS: 722
+      upper bound DIS: 793
+      # IHOU + MHOU missing prescription: see https://github.com/NNPDF/papers/blob/e2ac1832cf4a36dab83a696564eaa75a4e55f5d2/minutes/minutes-2023-08-18.txt#L148-L157
+      (1, 0.5 missing): 794  # As 787 but DIS and N3LO DY from 722
+      (1, 2 missing): 795 # As 790 but DIS and N3LO DY from 722
+      (1, 0.5 hadronic): 796  # As 787 but DIS from 722
+      (1, 2 hadronic): 797 # As 790 but DIS from 722
+      # alphas variations
+      (0.106): 40_002_000
+      (0.114): 40_002_001
+      (0.115): 40_002_002
+      (0.116): 40_002_003
+      (0.117): 40_002_004
+      (0.118): 722
+      (0.119): 40_002_006
+      (0.120): 40_002_007
+      (0.121): 40_002_008
+      (0.122): 40_002_009
+      (0.123): 40_002_010
+      (0.124): 40_002_011
+      (0.125): 40_002_012
+      (0.130): 40_002_013
+
+  - theoryid: 40_002_012 # N3LO, alphas=0.125
     variations:
       (0, 0, 0, 0): 722 # central th
       (1, 0, 0, 0): 723 # anomalous dimensions variations