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FLAG 2021

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Figures for download

  • Quark masses

  • $V_{ud}$ and $V_{us}$

  • Low-energy constants

  • Kaon mixing

  • $\small{D}$-meson decay constants and form factors

  • $\small{B}$-meson decay constants, mixing parameters, and form factors

  • The strong coupling $\alpha_s$

  • Nucleon matrix elements

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  • attachment:Vusud.py of Media

Attachment 'Vusud.py'

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   1 # FLA plot for Vus and Vud
   2 # check whether numpy library is present
   3 try: 
   4  import numpy
   5 except ImportError:
   6  print "numpy library not found. If you want the FLAG-logo to be added to the"
   7  print "plot, please install this library"
   8 import numpy as np
   9 ################################################################################
  10 # Please edit the following blocks #############################################
  11 ################################################################################
  12 FS=6
  13 MS=7
  14 PRELIM=0
  15 # layout specifications
  16 titlestring	= "$\\rm |V_{us}|$"			# plot title
  17 plotnamestring	= "Vusud"			# filename for plot
  18 plotxticks	= ([[.22, .23]])# locations for x-ticks
  19 nminorticks	= 3			# number of intermediate minor ticks
  20 					# 0 if none
  21 
  22 yaxisstrings	= [				# x,y-location for y-strings
  23 		   [+.208,55.0,"$\\rm N_f=2+1+1$"],
  24 		   [+.208,34.0,"$\\rm N_f=2+1$"],
  25 		   [+.208,12.5,"$\\rm N_f=2$"]
  26 		    ]
  27 xlimits		= [.21,.24]			# plot's xlimits
  28 logo		= 'upper left'			# either of 'upper left'
  29 					  	#           'upper left'
  30 					  	#           'lower left'
  31 					  	#           'lower right'
  32 tpos = 0.235					# x-position for the data labels
  33 tpos2=300
  34 REV=1
  35 PRELIM=0
  36 MULTIPLE=1
  37 REMOVEWHITESPACE=0
  38 # the following blocks contain the list of 
  39 # lattice results that will be plotted, one block for 2, 2+1 and 2+1+1, 
  40 # respectively
  41 # 
  42 # column	item
  43 # 0		central value
  44 # 1		position on the y-axis
  45 # 2		neg. error
  46 # 3		pos. error
  47 # 4		Collaboration string
  48 # 5		this column contains layout parameters for the plot-symbol and
  49 #  		and the collaboration text:
  50 #		column	item
  51 #		0 	marker style (see bottom of this file for a full list)
  52 #		1	marker face color r=red, b=blue, k=black, w=white
  53 #					  g=green
  54 #		2	marker color (errorbar and frame), color coding as 
  55 #			for face color
  56 #		3	color intensity 0=full, 1=soso, 2=bleak
  57 # THE DATA #####################################################################
  58 
  59 
  60 datVus2p1p1=[
  61 [0.2251  ,0.00045    ,0.00045    ,0,0,"FNAL/MILC 17",['s','g','g',0,tpos]],
  62 [0.2230  ,0.001118   ,0.001118   ,0,0,"ETM 16    ",['^','g','g',0,tpos]],
  63 [0.227000,0.002973   ,0.002973   ,0,0,"ETM 14E      ",['s','g','g',0,tpos]],
  64 [0.224900,0.000566   ,0.000566   ,0,0,"FNAL/MILC 14A",['s','l','g',0,tpos]],
  65 [0.223100,0.000860   ,0.000860   ,0,0,"FNAL/MILC 13E",['^','g','g',0,tpos]],
  66 [0.222898,0.0010534  ,0.0010534  ,0,0,"FNAL/MILC 13C  ",['^','l','g',0,tpos]],
  67 [0.227045,0.003156   ,0.003156   ,0,0,"ETM 13F        ",['s','l','g',0,tpos]],
  68 [0.225600,0.000500   ,0.000500   ,0,0,"HPQCD 13A      ",['s','g','g',0,tpos]],
  69 [0.224935,0.000896274,0.000896274,0,0,"MILC 13A       ",['s','l','g',0,tpos]],
  70 [0.226713,0.000951708,0.000951708,0,0,"MILC 11 (stat. err. only)       ",['s','l','g',0,tpos]],
  71 [0.22034 ,0.00227933 ,0.00227933 ,0,0,"ETM 10E (stat. err. only)       ",['s','l','g',0,tpos]]]
  72 
  73 datVus2p1=[
  74 [0.2244  ,0.0014     ,0.0014     ,0,0,"JLQCD 17       ",['^','w','r',0,tpos]],
  75 [0.2259  ,0.0029     ,0.0029     ,0,0,"QCDSF/UKQCD 16 ",['s','g','g',0,tpos]],
  76 [0.2281  ,0.0052     ,0.0052     ,0,0,"Durr 16      ",['s','g','g',0,tpos]],
  77 [0.223500,0.000949   ,0.000949   ,0,0,"RBC/UKQCD 15A",['^','g','g',0,tpos]],
  78 [0.225600,0.000949   ,0.000949   ,0,0,"RBC/UKQCD 14B",['s','g','g',0,tpos]],
  79 [0.223681,0.000809161,0.00127027 ,0,0,"RBC/UKQCD 13   ",['^','l','g',0,tpos]],
  80 [0.224900,0.00333    ,0.00333    ,0,0,"RBC/UKQCD 12   ",['s','l','g',0,tpos]],
  81 [0.224000,0.00106    ,0.00106    ,0,0,"FNAL/MILC 12I   ",['^','g','g',0,tpos]],
  82 [0.225547,0.00128635 ,0.00128635 ,0,0,"JLQCD 12       ",['^','w','r',0,tpos]],
  83 [0.223637,0.00271382 ,0.00271382 ,0,0,"Laiho 11       ",['s','l','g',0,tpos]],
  84 [0.224378,0.00148975 ,0.00148975 ,0,0,"JLQCD 11       ",['^','w','r',0,tpos]],
  85 [0.225000,0.00103    ,0.00103    ,0,0,"MILC 10        ",['s','g','g',0,tpos]],
  86 [0.219335,0.00326018 ,0.00326018 ,0,0,"JLQCD/TWQCD 10 ",['s','w','r',0,tpos]],
  87 [0.223759,0.00461451 ,0.00461451 ,0,0,"RBC/UKQCD 10A  ",['s','l','g',0,tpos]],
  88 [0.225336,0.00124336 ,0.00149455 ,0,0,"RBC/UKQCD 10   ",['^','w','r',0,tpos]],
  89 [0.225900,0.00170    ,0.00170    ,0,0,"BMW 10         ",['s','g','g',0,tpos]],
  90 #[0.203396,0.0105398  ,0.0105398  ,0,0,"PACS-CS 09     ",['s','w','r',0,tpos]],
  91 #[0.222722,0.00216215 ,0.00216215 ,0,0,"JLQCD/TWQCD 09A (stat. err. only)",['s','w','r',0,tpos]],
  92 [0.224347,0.00118924 ,0.00151653 ,0,0,"MILC 09A       ",['s','l','g',0,tpos]],
  93 [0.224525,0.00125581 ,0.0024076  ,0,0,"MILC 09        ",['s','l','g',0,tpos]],
  94 [0.225598,0.00421489 ,0.00421489 ,0,0,"Aubin 08       ",['s','l','g',0,tpos]],
  95 #[0.226393,0.00365766 ,0.00365766 ,0,0,"PACS-CS 08     ",['s','w','r',0,tpos]],
  96 [0.223586,0.011394   ,0.011394   ,0,0,"RBC/UKQCD 08   ",['s','w','r',0,tpos]],
  97 [0.224285,0.00126057 ,0.00126057 ,0,0,"RBC/UKQCD 07   ",['^','w','r',0,tpos]],
  98 [0.226500,0.00143    ,0.00143 ,0,0,"HPQCD/UKQCD 07 ",['s','g','g',0,tpos]],
  99 #[0.221355,0.00199591 ,0.00419271 ,0,0,"NPLQCD 06      ",['s','w','r',0,tpos]],
 100 [0.223059,0.00241463 ,0.00241463 ,0,0,"MILC 04        ",['s','l','g',0,tpos]]]
 101 datVus2=[
 102 [0.223992,0.00113162 ,0.00113162 ,0,0,"ETM 14D (stat. err. only)",['s','w','r',0,tpos]],
 103 [0.227088,0.00123433 ,0.00123433 ,0,0,"ALPHA 13A     ",['s','l','g',0,tpos]],
 104 #[0.222186,0.0071382  ,0.0071382  ,0,0,"BGR 11         ",['s','w','r',0,tpos]],
 105 [0.226617,0.00149888 ,0.00149888 ,0,0,"ETM 10D (stat. err. only)",['s','l','g',0,tpos]],
 106 [0.226635,0.00169761 ,0.00169761 ,0,0,"ETM 10D (stat. err. only)",['^','l','g',0,tpos]],
 107 [0.226500,0.00205    ,0.00205    ,0,0,"ETM 09A        ",['^','g','g',0,tpos]],
 108 [0.223300,0.00320    ,0.00320    ,0,0,"ETM 09         ",['s','g','g',0,tpos]],
 109 [0.223059,0.00526981 ,0.00526981 ,0,0,"QCDSF/UKQCD 07 ",['s','l','g',0,tpos]],
 110 [0.224215,0.000624638,0.000624638,0,0,"QCDSF 07 (stat. err. only)",['^','w','r',0,tpos]],
 111 [0.223450,0.00254975 ,0.00254975 ,0,0,"RBC 06         ",['^','w','r',0,tpos]],
 112 [0.223681,0.00148108 ,0.00148108 ,0,0,"JLQCD 05       ",['^','w','r',0,tpos]]]
 113 
 114 
 115 
 116 datVusother1=[
 117 [0.2186,0.0021,0.0021,0,0,"HFAG 16 $\\tau$ decay",['o','b','b',0,tpos]],
 118 [0.2231,0.0027,0.0027,0,0,"Hudspith 17 $\\tau$ decay and $e^+e^-$",['o','b','b',0,tpos]],
 119 [0.2208,0.0023,0.0023,0,0,"Hudspith 17 $\\tau$ decay and $e^+e^-$",['o','b','b',0,tpos]]
 120 #[0.2208,0.0039,0.0039,0,0,"Maltman 09 $\\tau$ decay and $e^+e^-$",['o','b','b',0,tpos]],
 121 #[0.2165,0.00264764,0.00264764,0,0,"Gamiz 08 $\\tau$ decay",['o','b','b',0,tpos]]
 122 ]
 123 
 124 datVusother2=[
 125 [0.225652,0.000907,0.000907,0,0,"Hardy 16 nuclear $\\beta$ decay",['o','b','b',0,tpos]]
 126 ]
 127 ###
 128 datVud2p1p1=[
 129 [0.974320,0.000103   ,0.000103   ,0,0,"FNAL/MILC 17",['s','g','g',0,tpos2]],
 130 [0.974810,0.000250   ,0.0002550  ,0,0,"ETM 16       ",['^','g','g',0,tpos2]],
 131 [0.973880,0.000694   ,0.000694   ,0,0,"ETM 14E      ",['s','g','g',0,tpos2]],
 132 [0.974380,0.000120   ,0.000120   ,0,0,"FNAL/MILC 14A",['s','l','g',0,tpos2]],
 133 [0.974790,0.000200   ,0.000200   ,0,0,"FNAL/MILC 13E",['^','g','g',0,tpos2]],
 134 [0.974833,0.000240872,0.000240872,0,0,"FNAL/MILC 13C  ",['^','l','g',0,tpos2]],
 135 [0.973875,0.000735779,0.000735779,0,0,"ETM 13F        ",['s','l','g',0,tpos2]],
 136 [0.974200,0.000122   ,0.000122   ,0,0,"HPQCD 13A      ",['s','g','g',0,tpos2]],
 137 [0.974365,0.000206917,0.000206917,0,0,"MILC 13A       ",['s','l','g',0,tpos2]],
 138 [0.973953,0.000221544,0.000221544,0,0,"MILC 11        ",['s','l','g',0,tpos2]],
 139 [0.975414,0.000514891,0.000514891,0,0,"ETM 10E        ",['s','l','g',0,tpos2]]]
 140 datVud2p1=[                                                                             
 141 [0.974490,0.00031    ,0.00031    ,0,0,"JLQCD 17       ",['^','w','r',0,tpos2]],
 142 [0.974130,0.00068    ,0.00068    ,0,0,"QCDSF/UKQCD 16 ",['s','g','g',0,tpos2]],
 143 [0.973630,0.00120    ,0.00120    ,0,0,"Durr 16         ",['s','g','g',0,tpos2]],
 144 [0.974690,0.000212   ,0.000212   ,0,0,"RBC/UKQCD 15A  ",['^','g','g',0,tpos2]],
 145 [0.974210,0.000231   ,0.000231   ,0,0,"RBC/UKQCD 14B  ",['s','g','g',0,tpos2]],
 146 [0.974653,0.000291532,0.000185713,0,0,"RBC/UKQCD 13   ",['^','l','g',0,tpos2]],
 147 [0.974380,0.000766   ,0.000766   ,0,0,"RBC/UKQCD 12   ",['s','l','g',0,tpos2]],
 148 [0.974590,0.000241   ,0.000241   ,0,0,"FNAL/MILC 12I   ",['^','g','g',0,tpos2]],
 149 [0.974223,0.000297817,0.000297817,0,0,"JLQCD 12       ",['^','w','r',0,tpos2]],
 150 [0.974664,0.000622692,0.000622692,0,0,"Laiho 11       ",['s','l','g',0,tpos2]],
 151 [0.974493,0.000343021,0.000343021,0,0,"JLQCD 11       ",['^','w','r',0,tpos2]],
 152 [0.974340,0.000237   ,0.000237   ,0,0,"MILC 10        ",['s','g','g',0,tpos2]],
 153 [0.975641,0.000732928,0.000732928,0,0,"JLQCD/TWQCD 10 ",['s','w','r',0,tpos2]],
 154 [0.974636,0.00105941 ,0.00105941 ,0,0,"RBC/UKQCD 10A  ",['s','l','g',0,tpos2]],
 155 [0.974272,0.000345677,0.000287581,0,0,"RBC/UKQCD 10   ",['^','w','r',0,tpos2]],
 156 [0.974130,0.000391   ,0.000391   ,0,0,"BMW 10         ",['s','g','g',0,tpos2]],
 157 #[0.979088,0.00218955 ,0.00218955 ,0,0,"PACS-CS 09     ",['s','w','r',0,tpos2]],
 158 #[0.974873,0.000493975,0.000493975,0,0,"JLQCD/TWQCD 09A",['s','w','r',0,tpos2]],
 159 [0.974501,0.000349138,0.000273791,0,0,"MILC 09A       ",['s','l','g',0,tpos2]],
 160 [0.97446 ,0.000554738,0.000289357,0,0,"MILC 09        ",['s','l','g',0,tpos2]],
 161 [0.974212,0.000976044,0.000976044,0,0,"Aubin 08       ",['s','l','g',0,tpos2]],
 162 #[0.974027,0.00085015 ,0.00085015 ,0,0,"PACS-CS 08     ",['s','w','r',0,tpos2]],
 163 [0.974675,0.00261373 ,0.00261373 ,0,0,"RBC/UKQCD 08   ",['s','w','r',0,tpos2]],
 164 [0.974515,0.000290127,0.000290127,0,0,"RBC/UKQCD 07   ",['^','w','r',0,tpos2]],
 165 [0.974010,0.000322   ,0.000322   ,0,0,"HPQCD/UKQCD 07 ",['s','g','g',0,tpos2]],
 166 #[0.975184,0.000951696,0.000453051,0,0,"NPLQCD 06      ",['s','w','r',0,tpos2]],
 167 [0.974796,0.000552534,0.000552534,0,0,"MILC 04        ",['s','l','g',0,tpos2]]]
 168 datVud2=[                                                                             
 169 [0.974582,0.000260076,0.000260076,0,0,"ETM 14D      ",['s','w','r',0,tpos2]],
 170 [0.973866,0.000287831,0.000287831,0,0,"ALPHA 13A    ",['s','l','g',0,tpos2]],
 171 #[0.974995,0.00162669 ,0.00162669 ,0,0,"BGR 11         ",['s','w','r',0,tpos2]],
 172 [0.973975,0.000348754,0.000348754,0,0,"ETM 10D        ",['s','l','g',0,tpos2]],
 173 [0.973971,0.000395024,0.000395024,0,0,"ETM 10D        ",['^','l','g',0,tpos2]],
 174 [0.974010,0.000474   ,0.000474   ,0,0,"ETM 09A        ",['^','g','g',0,tpos2]],
 175 [0.974750,0.000734   ,0.000734   ,0,0,"ETM 09         ",['s','g','g',0,tpos2]],
 176 [0.974796,0.00120587 ,0.00120587 ,0,0,"QCDSF/UKQCD 07 ",['s','l','g',0,tpos2]],
 177 [0.974531,0.000143728,0.000143728,0,0,"QCDSF 07       ",['^','w','r',0,tpos2]],
 178 [0.974706,0.000584532,0.000584532,0,0,"RBC 06         ",['^','w','r',0,tpos2]],
 179 [0.974653,0.000339911,0.000339911,0,0,"JLQCD 05       ",['^','w','r',0,tpos2]]]
 180 
 181 
 182 
 183 datVudother1=[
 184 [0.97420 ,0.00021 ,0.00021  ,0,0,"Hardy 16 nuclear $\\beta$ decay"               ,['o','b','b',0,tpos2]]
 185 ]
 186 
 187 datVudother2=[
 188 [0.975807,0.00046,0.00046,0,0,"HFAG 16 $\\tau$ decay",['o','b','b',0,tpos2]],
 189 [0.974788,0.000602,0.000602,0,0,"Hudspith 17 $\\tau$ decay and $e^+e^-$",['o','b','b',0,tpos2]],
 190 [0.975311,0.000483,0.000483,0,0,"Hudspith 17 $\\tau$ decay and $e^+e^-$",['o','b','b',0,tpos2]]
 191 #[0.975311,0.000883,0.000883,0,0,"M 09 Maltman 09 $\\tau$ decay and $e^+e^-$",['o','b','b',0,tpos2]],
 192 #[0.9763  ,0.0006  ,0.0006   ,0,0,"G 08 Gamiz 08 $\\tau$ decay"		     ,['o','b','b',0,tpos2]]
 193 ]
 194 # The color coding for the FLAG-average (below) is as for the data itself; 
 195 # the additional list at the end is the RGB-code for the errorband.
 196 # Please note that the order inside the list FLAGaverage (if there is more 
 197 # than one) # is significant, the last item will be plotted last and will 
 198 # therefore be plotted on top of all others.
 199 
 200 FLAGaverage=[ # there should be as many entries for average as there are data sets
 201               # in the case where no average is provided for a given data set
 202               # just replace the central value by "NaN"
 203               # 
 204               # with respect to the above there is another column at the end specifying
 205               # the type of FLAG-band
 206               # 0 -> grey area bounded by solid black lines
 207               # 1 -> dashed lines marking the edge of the interval
 208  [np.nan,0.000,0.000,0.000,0.000,"placeholderxxxxxxxxxxxxxxxx$",['s','k','k',0,tpos],0],
 209  [np.nan,0.000,0.000,0.000,0.000,"placeholderxxxxxxxxxxxxxxxx$",['s','k','k',0,tpos],0],
 210  [0.2256 ,0.0019 ,0.0019 ,0.000,0.000, "FLAG average for $\\rm N_f=2$",['s','k','k',0,tpos],0],
 211  [0.2249 ,0.0005 ,0.0005 ,0.000,0.000, "FLAG average for $\\rm N_f=2+1$",['s','k','k',0,tpos],0],
 212  [0.2249 ,0.0007 ,0.0007 ,0.000,0.000, "FLAG average for $\\rm N_f=2+1+1$", ['s','k','k',0,tpos],0]
 213 ]
 214 
 215 
 216 
 217 # The follwing list should contain the list names of the previous DATA-blocks
 218 datasets=[datVusother2,datVusother1,datVus2,datVus2p1,datVus2p1p1]
 219 ################################################################################
 220 # DO NOT EDIT THE FOLLOWING ####################################################
 221 ################################################################################
 222 
 223 
 224 # Now that all the relevant has been specified, generate the plot.
 225 # Please make sure that you have a directory called "plots" in you current 
 226 # working directory. That's where all plots will be stored 
 227 #MULTIPLE=1
 228 import matplotlib.pyplot as plt
 229 fig=plt.figure( )
 230 ax=fig.add_subplot(1,2,1)
 231 ax.spines["right"].set_color('none')
 232 ax.patch.set_facecolor('None')
 233 fig.subplots_adjust(wspace=0.)
 234 execfile('FLAGplot.py')
 235 
 236 plotnamestring	= "Vusud"			# filename for plot
 237 
 238 titlestring	= "$\\rm |V_{ud}|$"			# plot title
 239 xlimits		= [.971,.978]			# plot's xlimits
 240 plotxticks	= ([[.973,.975]])# locations for x-ticks
 241 
 242 logo		= 'none'	
 243 FLAGaverage=[ # there should be as many entries for average as there are data sets
 244 	      # in the case where no average is provided for a given data set
 245 	      # just replace the central value by "NaN"
 246 	      # 
 247 	      # with respect to the above there is another column at the end specifying
 248 	      # the type of FLAG-band
 249 	      # 0 -> grey area bounded by solid black lines
 250 	      # 1 -> dashed lines marking the edge of the interval
 251 
 252  [np.nan,0.000,0.000,0.000,0.000,"placeholderxxxxxxxxxxxxxxxx$",['s','k','k',0,tpos2],0], 
 253  [np.nan,0.000,0.000,0.000,0.000,"placeholderxxxxxxxxxxxxxxxx$",['s','k','k',0,tpos2],0], 
 254  [0.97423,0.00044 ,0.00044 ,0.000,0.000, "FLAG average for  $\\rm N_f=2$",['s','k','k',0,tpos2],0],
 255  [0.97438,0.00012 ,0.00012 ,0.000,0.000, "FLAG average for $N_f=2+1$",['s','k','k',0,tpos2],0], 
 256  [0.97437,0.00016 ,0.00016 ,0.000,0.000, "FLAg average for $\\rm N_f=2+1+1$", ['s','k','k',0,tpos2],0]
 257 ]
 258 yaxisstrings	= [				# x,y-location for y-strings
 259 		   [+0.5,26.0,"$\\rm N_f=2+1+1$"],
 260 		   [+0.5,14.0,"$\\rm N_f=2+1$"],
 261 		   [+0.5,2.0,"$\\rm N_f=2$"]
 262 		    ]
 263 
 264 
 265 # The follwing list should contain the list names of the previous DATA-blocks
 266 datasets=[datVudother1,datVudother2,datVud2,datVud2p1,datVud2p1p1]
 267 
 268 #ax.spines["right"].set_color('none')
 269 
 270 
 271 ax=fig.add_subplot(1,2,2)
 272 ax.patch.set_facecolor('None')
 273 ax.spines["left"].set_color('none')
 274 execfile('FLAGplot.py')
 275 
 276 # additional documentation:
 277 # '.' 	point marker
 278 # ',' 	pixel marker
 279 # 'o' 	circle marker
 280 # 'v' 	triangle_down marker
 281 # '^' 	triangle_up marker
 282 # '<' 	triangle_left marker
 283 # '>' 	triangle_right marker
 284 # '1' 	tri_down marker
 285 # '2' 	tri_up marker
 286 # '3' 	tri_left marker
 287 # '4' 	tri_right marker
 288 # 's' 	square marker
 289 # 'p' 	pentagon marker
 290 # '*' 	star marker
 291 # 'h' 	hexagon1 marker
 292 # 'H' 	hexagon2 marker
 293 # '+' 	plus marker
 294 # 'x' 	x marker
 295 # 'D' 	diamond marker
 296 # 'd' 	thin_diamond marker
 297 # '|' 	vline marker
 298 # '_' 	hline marker

Attached Files

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