Adding FHMRUVV N3LO splitting functions

benchmarks/eko/benchmark_inverse_matching.py

@@ -35,6 +35,7 @@
     xif=1.0,
     n3lo_ad_variation=(0, 0, 0, 0, 0, 0, 0),
     matching_order=[2, 0],
+    use_fhmruvv=False,
 )
 
 # operator settings

doc/source/shared/abbreviations.rst

@@ -77,6 +77,7 @@
 
 .. |BFKL| replace::
    :abbr:`BFKL (Balitsky-Fadin-Kuraev-Lipatov)`
+
 .. external
 
 .. |yadism| replace::
@@ -91,7 +92,6 @@
 .. |pineko| replace::
    :pineko:`\ `
 
-
 .. |APFEL| raw:: html
 
    <a href="https://apfel.mi.infn.it/"><abbr title="A PDF Evolution Library">APFEL</abbr></a>
@@ -108,6 +108,9 @@
 
    <a href="https://www.nikhef.nl/~h24/qcdnum/"><abbr title="Quantum ChromoDynamics NUM">QCDNUM</abbr></a>
 
+.. |FHMRUVV| replace::
+   :abbr:`FHMRUVV (Falcioni, Herzog, Moch, Ruijl, Ueda, Vermaseren and Vogt)`
+
 .. |T| raw:: html
 
    <span class="green">✓</span>

extras/lh_bench_23/.gitignore

@@ -1,2 +1,3 @@
 *.tar
 *.csv
+*.dat

extras/lh_bench_23/cfg.py

@@ -1,4 +1,5 @@
 import copy
+import pathlib
 from math import inf, nan
 
 import numpy as np
@@ -8,8 +9,16 @@
 from eko.io import runcards
 from eko.io.types import ReferenceRunning
 
+here = pathlib.Path(__file__).parent
+eko_dir = here / "ekos"
+table_dir = here / "tables"
+
+
 _sqrt2 = float(np.sqrt(2))
 
+# setup x rotation
+xgrid = np.array([1e-7, 1e-6, 1e-5, 1e-4, 1e-3, 1e-2, 0.1, 0.3, 0.5, 0.7, 0.9])
+
 # theory settings
 # ---------------
 _t_vfns = dict(
@@ -30,8 +39,9 @@
         matching_ratios=[1.0, 1.0, 1.0],
     ),
     xif=1.0,
-    n3lo_ad_variation=(0, 0, 0, 0),
+    n3lo_ad_variation=(0, 0, 0, 0, 0, 0, 0),
     matching_order=[2, 0],
+    use_fhmruvv=False,
 )
 
 
@@ -59,6 +69,19 @@ def ffns_theory(xif=1.0):
     return runcards.TheoryCard.from_dict(tt)
 
 
+def n3lo_theory(ad_variation, is_ffns, use_fhmruvv=False, xif=1.0):
+    """Generate an N3LO theory card."""
+    base = _t_ffns if is_ffns else _t_vfns
+    tt = copy.deepcopy(base)
+    tt["xif"] = xif
+    tt["order"] = [4, 0]
+    # here we keep the NNLO matching
+    tt["matching_order"] = [2, 0]
+    tt["n3lo_ad_variation"] = ad_variation
+    tt["use_fhmruvv"] = use_fhmruvv
+    return runcards.TheoryCard.from_dict(tt)
+
+
 # operator settings
 # -----------------
 _o_vfns = dict(

extras/lh_bench_23/plot_bench.py

@@ -0,0 +1,49 @@
+from cfg import here, table_dir, xgrid
+from utils import (
+    compute_n3lo_avg_err,
+    compute_n3lo_nnlo_diff,
+    load_n3lo_tables,
+    load_nnlo_table,
+    plot_diff_to_nnlo,
+    plot_pdfs,
+)
+
+USE_LINX = True
+REL_DIFF = True
+SCHEME = "VFNS"
+SV = "central"
+
+plot_dir = here / "plots"
+n3lo_table_dir = table_dir  # / SCHEME
+
+
+# load tables
+eko_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="EKO")
+fhmv_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="FHMV")
+nnlo_central = load_nnlo_table(table_dir, SCHEME, SV)
+
+# compute avg and std
+eko_res = compute_n3lo_avg_err(eko_dfs)
+fhmv_res = compute_n3lo_avg_err(fhmv_dfs)
+# eko_4mom_res = = compute_n3lo_avg_err(eko_dfs_4mom)
+
+n3lo_dfs = [
+    (eko_res, "aN3LO EKO"),
+    (fhmv_res, "aN3LO FHMV"),
+    # (eko_4mom_res, "aN3LO EKO 4 mom"),
+]
+
+# PDFs plots
+plot_pdfs(xgrid, n3lo_dfs, nnlo_central, SCHEME, USE_LINX, plot_dir)
+
+# relative diff plots
+eko_diff = compute_n3lo_nnlo_diff(eko_res, nnlo_central, REL_DIFF)
+fhmv_diff = compute_n3lo_nnlo_diff(fhmv_res, nnlo_central, REL_DIFF)
+n3lo_dfs = [
+    (eko_diff, "aN3LO EKO"),
+    (fhmv_diff, "aN3LO FHMV"),
+    # (eko_4mom_res, "aN3LO EKO 4 mom"),
+]
+
+# relative, absolute diff plots
+plot_diff_to_nnlo(xgrid, n3lo_dfs, SCHEME, USE_LINX, plot_dir, REL_DIFF)

extras/lh_bench_23/plot_bench_evol.py

@@ -0,0 +1,45 @@
+from cfg import here, table_dir, xgrid
+from utils import (
+    compute_n3lo_avg_err,
+    compute_n3lo_nnlo_diff,
+    load_n3lo_tables,
+    load_nnlo_table,
+    plot_diff_to_nnlo,
+    plot_pdfs,
+)
+
+USE_LINX = False
+REL_DIFF = True
+SCHEME = "VFNS"
+SV = "central"
+
+plot_dir = here / "plots_evol"
+n3lo_table_dir = table_dir  # / SCHEME
+
+
+# load tables
+eko_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="EKO", rotate_to_evol=True)
+fhmv_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="FHMV", rotate_to_evol=True)
+nnlo_central = load_nnlo_table(table_dir, SCHEME, SV, rotate_to_evol=True)
+
+# compute avg and std
+eko_res = compute_n3lo_avg_err(eko_dfs)
+fhmv_res = compute_n3lo_avg_err(fhmv_dfs)
+
+n3lo_dfs = [
+    (eko_res, "aN3LO EKO"),
+    (fhmv_res, "aN3LO FHMV"),
+]
+
+# absolute plots
+plot_pdfs(xgrid, n3lo_dfs, nnlo_central, SCHEME, USE_LINX, plot_dir)
+
+# relative, absolute diff plots
+eko_diff = compute_n3lo_nnlo_diff(eko_res, nnlo_central, REL_DIFF)
+fhmv_diff = compute_n3lo_nnlo_diff(fhmv_res, nnlo_central, REL_DIFF)
+n3lo_dfs = [
+    (eko_diff, "aN3LO EKO"),
+    (fhmv_diff, "aN3LO FHMV"),
+]
+
+plot_diff_to_nnlo(xgrid, n3lo_dfs, SCHEME, USE_LINX, plot_dir, REL_DIFF)

extras/lh_bench_23/plot_bench_msht.py

@@ -0,0 +1,62 @@
+from cfg import here, table_dir, xgrid
+from utils import (
+    compute_n3lo_avg_err,
+    compute_n3lo_nnlo_diff,
+    load_msht,
+    load_n3lo_tables,
+    load_nnlo_table,
+    plot_diff_to_nnlo,
+    plot_pdfs,
+)
+
+USE_LINX = False
+REL_DIFF = True
+SCHEME = "VFNS"
+SV = "central"
+
+plot_dir = here / "plots_msht"
+n3lo_table_dir = table_dir  # / SCHEME
+msht_table_dir = table_dir
+
+
+# load tables
+eko_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="EKO")
+fhmv_eko_dfs = load_n3lo_tables(n3lo_table_dir, SCHEME, approx="FHMV")
+msht_dfs = load_msht(msht_table_dir, SCHEME, approx="MSHT")
+fhmv_msht_dfs = load_msht(msht_table_dir, SCHEME, approx="FHMV")
+nnlo_central = load_nnlo_table(table_dir, SCHEME, SV)
+
+# compute avg and std
+eko_res = compute_n3lo_avg_err(eko_dfs)
+fhmv_eko_res = compute_n3lo_avg_err(fhmv_eko_dfs)
+msht_res = compute_n3lo_avg_err(msht_dfs)
+fhmv_msht_res = compute_n3lo_avg_err(fhmv_msht_dfs)
+# eko_4mom_res = = compute_n3lo_avg_err(eko_dfs_4mom)
+
+n3lo_dfs = [
+    (eko_res, "EKO"),
+    (fhmv_eko_res, "FHMV EKO"),
+    (msht_res, "MSHT"),
+    (fhmv_msht_res, "FHMV MSHT")
+    # (eko_4mom_res, "aN3LO EKO 4 mom"),
+]
+
+# PDFs plots
+plot_pdfs(xgrid, n3lo_dfs, nnlo_central, SCHEME, USE_LINX, plot_dir)
+
+# relative diff plots
+eko_diff = compute_n3lo_nnlo_diff(eko_res, nnlo_central, REL_DIFF)
+fhmv_eko_diff = compute_n3lo_nnlo_diff(fhmv_eko_res, nnlo_central, REL_DIFF)
+msht_diff = compute_n3lo_nnlo_diff(msht_res, nnlo_central, REL_DIFF)
+fhmv_msht_diff = compute_n3lo_nnlo_diff(fhmv_msht_res, nnlo_central, REL_DIFF)
+
+n3lo_dfs = [
+    (eko_diff, "EKO"),
+    (fhmv_eko_diff, "FHMV EKO"),
+    (msht_diff, "MSHT"),
+    (fhmv_msht_diff, "FHMV MSHT")
+    # (eko_4mom_res, "aN3LO EKO 4 mom"),
+]
+
+# relative, absolute diff plots
+plot_diff_to_nnlo(xgrid, n3lo_dfs, SCHEME, USE_LINX, plot_dir, REL_DIFF)

extras/lh_bench_23/plotstyle.mplstyle

@@ -0,0 +1,89 @@
+### FIGURE
+figure.facecolor      : white
+figure.dpi            : 150
+figure.titlesize      : 16
+figure.titleweight    : bold
+figure.figsize        : 6.4, 4.8
+
+
+### GRIDS
+grid.color            : 0.8
+grid.linestyle        : --
+grid.alpha            : 0.5
+
+
+### PATCHES
+patch.facecolor       : 4C72B0
+patch.linewidth       : 0.7
+
+#### IMAGE
+image.cmap            : Greys
+
+### LEGEND
+legend.fontsize       : 12
+legend.loc            : best
+legend.fancybox       : True
+legend.framealpha     : 0.3
+legend.facecolor      : white
+legend.frameon        : True
+legend.handleheight   : 1
+legend.numpoints      : 1
+legend.scatterpoints  : 1
+
+
+### XTICKS
+xtick.color           : ".6"
+xtick.labelcolor      : ".4"
+xtick.labelsize       : 10.0
+xtick.direction       : in
+xtick.major.size      : 4.0
+xtick.major.width     : 1.0
+xtick.major.top       : true
+xtick.major.bottom    : true
+xtick.minor.size      : 2.0
+xtick.minor.width     : 0.5
+xtick.minor.top       : true
+xtick.minor.bottom    : true
+
+### XTICKS
+ytick.color           : ".6"
+ytick.labelcolor      : ".4"
+ytick.labelsize       : 10.0
+ytick.direction       : in
+ytick.major.size      : 4.0
+ytick.major.width     : 1.0
+ytick.major.left      : true
+ytick.major.right     : true
+ytick.minor.size      : 2.0
+ytick.minor.width     : 0.5
+ytick.minor.left      : true
+ytick.minor.right     : true
+
+### FONTS
+font.family           : serif
+font.sans-serif       : Arial
+font.size             : 13
+font.weight           : bold
+
+### TEXTS
+text.usetex           : True
+text.latex.preamble   : \usepackage{amsmath}
+text.color            : ".15"
+
+### AXES
+axes.grid             : True
+axes.axisbelow        : True
+axes.facecolor        : white
+axes.edgecolor        : 0.8
+axes.linewidth        : 1.0
+axes.titlesize        : 16
+axes.titleweight      : bold
+axes.labelsize        : 16
+axes.labelcolor       : 0.15
+axes.titlepad         : 9.0
+axes.xmargin          : 0
+axes.labelweight      : bold
+axes.spines.top       : True
+axes.spines.right     : True
+# axes.prop_cycle       : cycler('color', ['001D66', 'da3b46', 'F6AE2D', '343434', '2ca02c', '9467bd', '8c564b'])
+# axes.prop_cycle       : cycler('color', ["001D66", "B01C64", "3D2E85", "FFBF33", "9467bd", "FF6000"])