correct latex table header

extras/lh_bench_23/parse_to_latex.py

@@ -26,6 +26,28 @@
 \end{table}
 """
 
+VFNS_LABELS = r"""
+    \multicolumn{1}{c|} {$xu_v$} &
+    \multicolumn{1}{c|} {$xd_v$} &
+    \multicolumn{1}{c|} {$xL_-$} &
+    \multicolumn{1}{c|} {$xL_+$} &
+    \multicolumn{1}{c|} {$xs_+$} &
+    \multicolumn{1}{c|} {$xc_+$} &
+    \multicolumn{1}{c|} {$xb_+$} &
+    \multicolumn{1}{c||}{$xg$} \\[0.5mm]
+    """
+
+FFNS_LABELS = r"""
+    \multicolumn{1}{c|} {$xu_v$} &
+    \multicolumn{1}{c|} {$xd_v$} &
+    \multicolumn{1}{c|} {$xL_-$} &
+    \multicolumn{1}{c|} {$xL_+$} &
+    \multicolumn{1}{c|} {$xs_v$} &
+    \multicolumn{1}{c|} {$xs_+$} &
+    \multicolumn{1}{c|} {$xc_+$} &
+    \multicolumn{1}{c||}{$xg$}
+    """
+
 
 def insert_haedrule(scheme, approx, caption):
     """Insert the middle rule."""
@@ -53,22 +75,15 @@ def insert_haedrule(scheme, approx, caption):
         # + r"""aN$^3$LO, """
         + approx
         + scheme_label
-        + r"""
-        $\,\mu_{\rm f}^2 = 10^4 \mbox{ GeV}^2$} \\
+        + r"""$\,\mu_{\rm f}^2 = 10^4 \mbox{ GeV}^2$} \\
     \multicolumn{9}{||c||}{} \\[-0.3cm]
     \hline \hline
     \multicolumn{9}{||c||}{} \\[-3mm]
     \multicolumn{1}{||c||}{$x$} &
-    \multicolumn{1}{c|} {$xu_v$} &
-    \multicolumn{1}{c|} {$xd_v$} &
-    \multicolumn{1}{c|} {$xL_-$} &
-    \multicolumn{1}{c|} {$xL_+$} &
-    \multicolumn{1}{c|} {$xs_+$} &
-    \multicolumn{1}{c|} {$xc_+$} &
-    \multicolumn{1}{c|} {$xb_+$} &
-    \multicolumn{1}{c||}{$xg$} \\[0.5mm]
     """
     )
+    HEADRULE += VFNS_LABELS if scheme == "VFNS" else FFNS_LABELS
+    HEADRULE += r"""\\[0.5mm]"""
     return HEADRULE
 
 
@@ -128,8 +143,8 @@ def dump_table(scheme: str, approx: str, caption: str):
     caption = r"""
         Results for the FFNS aN$^3$LO evolution
         for the initial conditions and the input parton distributions
-        given in \cref{sec:toy_pdf},
-        with the FHMRUVV splitting functions approximation.
+        given in Sec.~\ref{sec:toy_pdf},
+        with the FHMRUVV splitting functions approximation and the NNPDF code.
     """
     dump_table(scheme, approx, caption)
 
@@ -138,23 +153,27 @@ def dump_table(scheme: str, approx: str, caption: str):
     caption = r"""
         Results for the VFNS aN$^3$LO evolution
         for the initial conditions and the input parton distributions
-        given in \cref{sec:toy_pdf},
-        with the FHMRUVV splitting functions approximation.
+        given in Sec.~\ref{sec:toy_pdf},
+        with the FHMRUVV splitting functions approximation and the NNPDF code.
     """
     dump_table(scheme, approx, caption)
 
     approx = "EKO"
     scheme = "FFNS"
     caption = r"""
-        Same as \cref{tab:n3lo_ffns_fhmruvv} but now with
-        the NNPDF splitting functions approximation.
+        Results for the FFNS aN$^3$LO evolution
+        for the initial conditions and the input parton distributions
+        given in Sec.~\ref{sec:toy_pdf},
+        with the NNPDF splitting functions approximation.
     """
     dump_table(scheme, approx, caption)
 
     approx = "EKO"
     scheme = "VFNS"
     caption = r"""
-        Same as \cref{tab:n3lo_vfns_fhmruvv} but now with
-        the NNPDF splitting functions approximation.
+        Results for the VFNS aN$^3$LO evolution
+        for the initial conditions and the input parton distributions
+        given in Sec.~\ref{sec:toy_pdf},
+        with the NNPDF splitting functions approximation.
     """
     dump_table(scheme, approx, caption)

extras/lh_bench_23/tables/MSHT/N3LO_FHMRUVV_FFNS/N3LO_FHMRUVV_FFNS_Pggdn.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.1073436842679030E-004	5.3078116501126260E-005	7.8440013595582059E-006	158.98448342903407	-2.7409080530560459E-005	78.420291447506216	77.695957374410852	1164.1199844485227
 100.00000000000000	9.9999999747524271E-007	5.7850897675137958E-004	3.1907598062730358E-004	3.0969373312927928E-005	74.870422626646302	-4.2595660495692300E-005	36.583852704365881	36.010525221209534	526.39688596148198
 100.00000000000000	9.9999997473787516E-006	2.9147080724563068E-003	1.6974144677810443E-003	1.2300754381122658E-004	34.491866464262500	7.7558289248713663E-006	16.570297537394620	16.116360432976627	227.62525141193967

extras/lh_bench_23/tables/MSHT/N3LO_FHMRUVV_FFNS/N3LO_FHMRUVV_FFNS_Pggup.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.1073436842679030E-004	5.3078116501126260E-005	7.8440013595582059E-006	138.96411571982844	-2.7409080530560459E-005	68.410107592903401	67.685776329870180	1007.7770380433128
 100.00000000000000	9.9999999747524271E-007	5.7850897675137958E-004	3.1907598062730358E-004	3.0969373312927928E-005	68.902534411018109	-4.2595660495692300E-005	33.599908596551785	33.026582187175393	480.89658370868221
 100.00000000000000	9.9999997473787516E-006	2.9147080724563068E-003	1.6974144677810443E-003	1.2300754381477930E-004	33.188548024973770	7.7558289248713663E-006	15.918638317750251	15.464701533493528	217.83322051452035

extras/lh_bench_23/tables/MSHT/N3LO_FHMRUVV_FFNS/N3LO_FHMRUVV_FFNS_Pgqdn.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.1073436842679030E-004	5.3078116501126260E-005	7.8440013595582059E-006	152.80737782156342	-2.7409080530560459E-005	75.331738643770890	74.607405364346931	1114.8462243486822
 100.00000000000000	9.9999999747524271E-007	5.7850897675137958E-004	3.1907598062730358E-004	3.0969373320033355E-005	73.231942033184538	-4.2595660495692300E-005	35.764612407634992	35.191285199168135	513.51140688584087
 100.00000000000000	9.9999997473787516E-006	2.9147080724563068E-003	1.6974144677810443E-003	1.2300754381477930E-004	34.223006699310361	7.7558289248713663E-006	16.435867654918543	15.981930615401740	225.46124651649257

extras/lh_bench_23/tables/MSHT/N3LO_FHMRUVV_FFNS/N3LO_FHMRUVV_FFNS_Pgqup.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.1073436842679030E-004	5.3078116501126260E-005	7.8440013453473512E-006	145.10322273865611	-2.7409080530560459E-005	71.479661102317252	70.755329045645894	1056.7021925519598
 100.00000000000000	9.9999999747524271E-007	5.7850897675137958E-004	3.1907598062730358E-004	3.0969373320033355E-005	70.548244793879149	-4.2595660495692300E-005	34.422763787982298	33.849437103915477	493.83654380918813
 100.00000000000000	9.9999997473787516E-006	2.9147080724563068E-003	1.6974144677810443E-003	1.2300754381122658E-004	33.459423595685678	7.7558289248713663E-006	16.054076103106208	15.600139253947013	220.01484611683000

extras/lh_bench_23/tables/MSHT/N3LO_FHMRUVV_FFNS/N3LO_FHMRUVV_FFNS_Pqgdn.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.1073436842679030E-004	5.3078116501126260E-005	7.8440013453473512E-006	151.08534490362433	-2.7409080530560459E-005	74.470722184801360	73.745637287622031	1089.3705632942376
 100.00000000000000	9.9999999747524271E-007	5.7850897675137958E-004	3.1907598062730358E-004	3.0969373327138783E-005	72.571950710934573	-4.2595660495692300E-005	35.434616746510002	34.860960942546093	504.44856342792536
 100.00000000000000	9.9999997473787516E-006	2.9147080724563068E-003	1.6974144677810443E-003	1.2300754381477930E-004	33.995060637816721	7.7558289248713663E-006	16.321894624171723	15.867855453023179	222.82619594008270

extras/lh_bench_23/tables/MSHT/N3LO_FHMRUVV_FFNS/N3LO_FHMRUVV_FFNS_Pqgup.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.1073436842679030E-004	5.3078116501126260E-005	7.8440013595582059E-006	146.82345512702517	-2.7409080530560459E-005	72.339777296501765	71.616196857586033	1082.1576473345106
 100.00000000000000	9.9999999747524271E-007	5.7850897675137958E-004	3.1907598062730358E-004	3.0969373327138783E-005	71.208295457797817	-4.2595660495692300E-005	34.752789119941625	34.179791031372048	502.89955006210027
 100.00000000000000	9.9999997473787516E-006	2.9147080724563068E-003	1.6974144677810443E-003	1.2300754381477930E-004	33.687434378885641	7.7558289248713663E-006	16.168081494706183	15.714246777178783	222.65057630055901

extras/lh_bench_23/tables/MSHT/N3LO_FHMRUVV_FFNS/N3LO_FHMRUVV_FFNS_PqqPSup.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.1073436842679030E-004	5.3078116501126260E-005	7.8440013453473512E-006	148.68903766865787	-2.7409080530560459E-005	73.272568567318132	72.548361890841903	1085.1765644050179
 100.00000000000000	9.9999999747524271E-007	5.7850897675137958E-004	3.1907598062730358E-004	3.0969373320033355E-005	71.792504661251002	-4.2595660495692300E-005	35.044893721668224	34.471627598820980	503.52703490762542
 100.00000000000000	9.9999997473787516E-006	2.9147080724563068E-003	1.6974144677810443E-003	1.2300754381477930E-004	33.813130280425398	7.7558289248713663E-006	16.230929445476065	15.777014500681659	222.71594792696169

extras/lh_bench_23/tables/MSHT/N3LO_MSHTposterior_FFNS/N3LO_MSHTposterior_FFNS_Pgqdn.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.2188813535374265E-004	6.7095969779273901E-005	2.4726524152640650E-006	51.765901270673879	-9.9200779182240240E-006	24.809838891149042	24.091153727252092	452.88961136560920
 100.00000000000000	9.9999999747524271E-007	5.8593489566760582E-004	3.3362104220913125E-004	1.2769432279569060E-005	32.529930571647853	-1.9932355789009648E-005	15.412654126678230	14.843273565533545	275.85699472895311
 100.00000000000000	9.9999997473787516E-006	2.8964623221137131E-003	1.6913606170989581E-003	6.8966711238793721E-005	20.130899017860777	1.3958046515938349E-005	9.3889497293661321	8.9375031129079829	155.27080062356600

extras/lh_bench_23/tables/MSHT/N3LO_MSHTposterior_FFNS/N3LO_MSHTposterior_FFNS_Pgqup.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.2188813535374265E-004	6.7095969779273901E-005	2.4726524117113513E-006	102.21910930411154	-9.9200779146713103E-006	50.036442907867880	49.317754525690397	864.43546032854169
 100.00000000000000	9.9999999747524271E-007	5.8593489566760582E-004	3.3362104220913125E-004	1.2769432277792703E-005	51.369668520197578	-1.9932355787233291E-005	24.832523100953093	24.263140396575423	420.87282207926097
 100.00000000000000	9.9999997473787516E-006	2.8964623221137131E-003	1.6913606170989581E-003	6.8966711238793721E-005	25.937165492268313	1.3958046515938349E-005	12.292082966569900	11.840635133496122	197.07223581991354

extras/lh_bench_23/tables/MSHT/N3LO_MSHTposterior_FFNS/N3LO_MSHTposterior_FFNS_Pqgdn.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.2188813535374265E-004	6.7095969779273901E-005	2.4726524117113513E-006	80.063668092992813	-9.9200779146713103E-006	38.958722302308516	38.241168659126764	707.22039801310052
 100.00000000000000	9.9999999747524271E-007	5.8593489566760582E-004	3.3362104220913125E-004	1.2769432277792703E-005	42.732159327574223	-1.9932355787233291E-005	20.513768504641416	19.945043246276505	365.55495085765449
 100.00000000000000	9.9999997473787516E-006	2.8964623221137131E-003	1.6913606170989581E-003	6.8966711240570078E-005	23.137074543875329	1.3958046515938349E-005	10.892037492373406	10.440918180383436	181.27012988022375

extras/lh_bench_23/tables/MSHT/N3LO_MSHTposterior_FFNS/N3LO_MSHTposterior_FFNS_Pqgup.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.2188813535374265E-004	6.7095969779273901E-005	2.4726524223694923E-006	101.74119285098439	-9.9200779146713103E-006	49.797484681304283	49.074064881273316	760.40242851177118
 100.00000000000000	9.9999999747524271E-007	5.8593489566760582E-004	3.3362104220913125E-004	1.2769432277792703E-005	52.786591928666581	-1.9932355787233291E-005	25.540984805187595	24.968861320555895	384.97817940769039
 100.00000000000000	9.9999997473787516E-006	2.8964623221137131E-003	1.6913606170989581E-003	6.8966711238793721E-005	26.954715855202060	1.3958046515938349E-005	12.800858148036772	12.348041034529231	186.26185534325910

extras/lh_bench_23/tables/MSHT/N3LO_MSHTposterior_FFNS/N3LO_MSHTposterior_FFNS_PqqPSdn.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.2188813535374265E-004	6.7095969779273901E-005	2.4726524223694923E-006	79.778249418273305	-9.9200779146713103E-006	38.816012964948740	38.098919721113589	701.89344080422757
 100.00000000000000	9.9999999747524271E-007	5.8593489566760582E-004	3.3362104220913125E-004	1.2769432277792703E-005	42.172664176586395	-1.9932355787233291E-005	20.234020929147501	19.665687953107124	362.19963941731726
 100.00000000000000	9.9999997473787516E-006	2.8964623221137131E-003	1.6913606170989581E-003	6.8966711238793721E-005	22.669227657304681	1.3958046515938349E-005	10.658114049088084	10.207300016840069	179.80169396984240

extras/lh_bench_23/tables/MSHT/N3LO_MSHTposterior_FFNS/N3LO_MSHTposterior_FFNS_PqqPSup.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.2188813535374265E-004	6.7095969779273901E-005	2.4726524117113513E-006	92.788086150245633	-9.9200779146713103E-006	45.320931330934926	44.599489959745455	745.44540497551191
 100.00000000000000	9.9999999747524271E-007	5.8593489566760582E-004	3.3362104220913125E-004	1.2769432277792703E-005	49.230086711347354	-1.9932355787233291E-005	23.762732196527981	23.191538122626504	381.70459364423681
 100.00000000000000	9.9999997473787516E-006	2.8964623221137131E-003	1.6913606170989581E-003	6.8966711238793721E-005	25.982111330651840	1.3958046515938349E-005	12.314555885761662	11.862014448311825	186.41777990367567

extras/lh_bench_23/tables/MSHT/N3LO_MSHTprior_FFNS/N3LO_MSHTprior_FFNS_Pggdn.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.2188813535463083E-004	6.7095969778385722E-005	2.4726524134877081E-006	27.037663359073420	-9.9200779164476671E-006	12.445719935348814	11.724529245104392	195.45637455639988
 100.00000000000000	9.9999999747524271E-007	5.8593489566849399E-004	3.3362104220913125E-004	1.2769432279569060E-005	24.433001902191801	-1.9932355789009648E-005	11.364189791950206	10.793225193441293	186.19936348000047
 100.00000000000000	9.9999997473787516E-006	2.8964623221137131E-003	1.6913606170989581E-003	6.8966711240570078E-005	18.891900563195556	1.3958046515938349E-005	8.7694505020335196	8.3170969721232630	134.19912277274810

extras/lh_bench_23/tables/MSHT/N3LO_MSHTprior_FFNS/N3LO_MSHTprior_FFNS_Pggup.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.2188813535374265E-004	6.7095969779273901E-005	2.4726524152640650E-006	79.048963345116789	-9.9200779146713103E-006	38.451369928370497	37.730175458064934	627.63998118875850
 100.00000000000000	9.9999999747524271E-007	5.8593489566760582E-004	3.3362104220913125E-004	1.2769432277792703E-005	44.212441762119020	-1.9932355787233291E-005	21.253909721913814	20.682942883592233	342.03345852126694
 100.00000000000000	9.9999997473787516E-006	2.8964623221137131E-003	1.6913606170989581E-003	6.8966711240570078E-005	24.524203815547949	1.3958046515938349E-005	11.585602128209716	11.133247511813883	176.39071351403481

extras/lh_bench_23/tables/MSHT/N3LO_MSHTprior_FFNS/N3LO_MSHTprior_FFNS_Pgqdn.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.2188813535374265E-004	6.7095969779273901E-005	2.4726524152640650E-006	41.389110988050120	-9.9200779182240240E-006	19.621443749837162	18.900252040763423	317.64987485757928
 100.00000000000000	9.9999999747524271E-007	5.8593489566849399E-004	3.3362104220913125E-004	1.2769432277792703E-005	30.062728093481752	-1.9932355789009648E-005	14.179052887595184	13.608087690965277	231.51507901093620
 100.00000000000000	9.9999997473787516E-006	2.8964623221137131E-003	1.6913606170989581E-003	6.8966711238793721E-005	20.404705945413959	1.3958046515938349E-005	9.5258531931427211	9.0734993978249339	145.91907323288333

extras/lh_bench_23/tables/MSHT/N3LO_MSHTprior_FFNS/N3LO_MSHTprior_FFNS_Pqgup.dat

@@ -1,4 +1,4 @@
-# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg 
+# q2	x	xuv	xdv	xL-	2xL+	xsv	xs+	xc+	xg
 100.00000000000000	1.0000000116860974E-007	1.2188813535374265E-004	6.7095969779273901E-005	2.4726524223694923E-006	75.376318725362495	-9.9200779146713103E-006	36.615047618493335	35.887119305230222	465.47456503867295
 100.00000000000000	9.9999999747524271E-007	5.8593489566760582E-004	3.3362104220913125E-004	1.2769432277792703E-005	45.635430113943869	-1.9932355787233291E-005	21.965403897826238	21.390535305964420	286.23772770262161
 100.00000000000000	9.9999997473787516E-006	2.8964623221137131E-003	1.6913606170989581E-003	6.8966711238793721E-005	26.149755048878042	1.3958046515938349E-005	12.398377744874765	11.944073487995208	161.23589845487552