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MainPage

FLAG 2021

  • Submission form

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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Flag:
  • attachment:ratio_mumd.py of Media

Attachment 'ratio_mumd.py'

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   1 # FLAG plot for ms/mud
   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 def te(*args):
  13     err = 0.
  14     for v in args:
  15         err += v**2
  16     return np.sqrt(err)
  17 
  18 PRELIM = 0
  19 # layout specifications
  20 titlestring	= "$\\rm m_u/m_d$"			# plot title
  21 plotnamestring	= "ratio_mumd"			# filename for plot
  22 plotxticks	= ([[0.4, 0.5, 0.6]])# locations for x-ticks
  23 yaxisstrings	= [				# x,y-location for y-strings
  24 		   [0.3,18.5,"$\\rm N_f=2+1+1$"],
  25 		   [0.3,8.0,"$\\rm N_f=2+1$"]]
  26 xlimits		= [0.35,1.02]			# plot's xlimits
  27 logo		= 'upper left'			# either of 'upper right'
  28 					  	#           'upper left'
  29 					  	#           'lower left'
  30 					  	#           'lower right'
  31 tpos = 0.76					# x-position for the data labels
  32 	
  33 
  34 # the following blocks contain the list of 
  35 # lattice results that will be plotted, one block for 2, 2+1 and 2+1+1, 
  36 # respectively
  37 # 
  38 # column	item
  39 # 0		central value
  40 # 1		position on the y-axis
  41 # 2		neg. error
  42 # 3		pos. error
  43 # 4		Collaboration string
  44 # 5		this column contains layout parameters for the plot-symbol and
  45 #  		and the collaboration text:
  46 #		column	item
  47 #		0 	marker style (see bottom of this file for a full list)
  48 #		1	marker face color r=red, b=blue, k=black, w=white
  49 #					  g=green
  50 #		2	marker color (errorbar and frame), color coding as 
  51 #			for face color
  52 #		3	color intensity 0=full, 1=soso, 2=bleak
  53 dat2p1p1=[
  54 [0.470 , 0.0                  , 0.0                  , 0.056 , 0.056 ,  "ETM 14"   , ['s','w','r',0,tpos]],
  55 [0.513 , te(0.018,0.024,0.006), te(0.018,0.024,0.006), 0.018 , 0.018 ,  "RM123 17" , ['s','g','g',0,tpos]],
  56 [0.4556, te(0.0055,0.0067,0.0013)    , te(0.0055,0.0114,0.0013)    , 0.0055, 0.0055,  "MILC 17"  , ['s','l','g',0,tpos]],
  57 [0.4529, te(0.0048,0.0067), te(0.0048,0.0150)                            , 0.0048, 0.0048, "MILC 18"                     , ['s','l','g',0,tpos]]
  58 ] 
  59 
  60 dat2p1=[
  61 [0.43  , te(0.01,0.08)                  , te(0.01,0.08)                  , 0.01  , 0.01  , "MILC 04, HPQCD/MILC/UKQCD 04", ['s','w','r',0,tpos]],
  62 [0.42  , te(0.01,0.04)                  , te(0.01,0.04)                  , 0.01  , 0.01  , "MILC 09"                     , ['s','w','r',0,tpos]],
  63 [0.432 , te(0.001,0.009,0.039)           , te(0.001,0.009,0.039)         , 0.001 , 0.001 , "MILC 09A"                    , ['s','w','r',0,tpos]],
  64 [0.4818, te(0.0096,0.086)               , te(0.0096,0.086)               , 0.0096, 0.0096, "Blum 10"                     , ['s','w','r',0,tpos]],
  65 [0.448 , te(0.006,0.029)                , te(0.006,0.029)                , 0.006 , 0.006 , "BMW 10A, 10B"                , ['s','w','r',0,tpos]],
  66 [0.401 , te(0.013,0.045)                , te(0.013,0.045)                , 0.013 , 0.013 , "Laiho 11"                    , ['s','w','r',0,tpos]],
  67 [0.698 , 0.0                            , 0.0                            , 0.051 , 0.051 , "PACS-CS 12"                  , ['s','w','r',0,tpos]],
  68 [0.52  , 0.0                            , 0.0                            , 0.05  , 0.05  , "QCDSF/UKQCD 15"              , ['s','w','r',0,tpos]],
  69 [0.4582, te(0.0038,0.0082,0.0001,0.0110), te(0.0038,0.0012,0.0001,0.0110), 0.0038, 0.0038, "MILC 16"                     , ['s','l','g',0,tpos]],
  70 [0.485 , te(0.011,0.008,0.014)          , te(0.011,0.008,0.014)          , 0.011 , 0.011 , "BMW 16"                      , ['s','g','g',0,tpos]]
  71 ]
  72 
  73 datapheno=[
  74 [0.48, 0.1,0.1,0,0, "PDG",['^','k','k',0,tpos]]
  75 ]
  76 # dat2p1=[
  77 # [27.4, 0.42, 0.42, 0.1, 0.1,            "MILC 04, HPQCD/MILC/UKQCD 04",['s','w','r',0,tpos]],
  78 # [28.8, 1.65, 1.65, 0.4, 0.4,            "RBC/UKQCD 08"	              ,['s','w','r',0,tpos]],
  79 # [28.8, 0, 0, 0.4, 0.4,                  "PACS-CS 08"    	      ,['s','w','r',0,tpos]],
  80 # [27.2, 0.316, 0.316, 0.1, 0.1,          "MILC 09"      	              ,['s','w','g',0,tpos]],
  81 # [27.41, 0.229, 0.229, 0.05, 0.05,       "MILC 09A"                    ,['s','g','g',0,tpos]],
  82 # [31.2, 0, 0, 2.7, 2.7,                  "PACS-CS 09"    	      ,['s','w','r',0,tpos]],
  83 # [28.31, 1.79, 1.79, 0.29, 0.29,         "Blum 10"	              ,['s','w','r',0,tpos]],
  84 # [26.8, 1.36, 1.36, 0.8, 0.8,            "RBC/UKQCD 10A"	              ,['s','l','g',0,tpos]],
  85 # [27.53, 0.215, 0.215, 0.2, 0.2,         "BMW 10A, 10B"     	              ,['s','g','g',0,tpos]],
  86 # [28.4, 1.39, 1.39, 0.5, 0.5,            "Laiho 11"	              ,['s','l','g',0,tpos]],
  87 # [26.8, 0, 0, 2., 2.,                    "PACS-CS 12"	              ,['s','w','r',0,tpos]],
  88 # [27.36, 0.39, 0.39, 0.380131, 0.380131, "RBC/UKQCD 12"                ,['s','l','g',0,tpos]],
  89 # [27.34, 0.21, 0.21, 0.0, 0.0,           "RBC/UKQCD 14B"                ,['s','g','g',0,tpos]]
  90 # ]
  91 # dat2=[                          
  92 # [27.2, 0, 0, 3.2, 3.2, "QCDSF/UKQCD 06"	,['s','w','r',0,tpos]],
  93 # [27.3, 1.24, 1.24, 0.3, 0.3,  "ETM 07"	,['s','w','r',0,tpos]],
  94 # [28.1, 0.0, 0, 0.38, 0.38, "RBC 07"	,['s','w','r',0,tpos]],
  95 # [27.3, 0.9, 0.9, 0.5, 0.5,  "ETM 10B"	,['s','g','g',0,tpos]],
  96 # [27.63, 0.13, 0.13, 0.0, 0.0,  "ETM 14D",['s','w','r',0,tpos]]
  97 # ]
  98 # datapheno=[
  99 # [25.9, 0,0,0,0,      "Weinberg 77" ,['o','b','b',0,tpos]],
 100 # [24.4, 1.5,1.5,0,0,  "Leutwyler 96",['o','b','b',0,tpos]],
 101 # [26.6, 1.6,1.6,0,0,  "Kaiser 98"   ,['o','b','b',0,tpos]],
 102 # [23.4, 5.8,5.8,0,0,  "Narison 06"  ,['o','b','b',0,tpos]],
 103 # [23.5, 1.5,1.5,0,0,  "Oller 07"    ,['o','b','b',0,tpos]],
 104 # [27.5, 0.3,0.3,0,0,  "PDG"         ,['^','k','k',0,tpos]],
 105 # ]
 106 
 107 # The color coding for the FLAG-average (below) is as for the data itself; 
 108 # the additional list at the end is the RGB-code for the errorband.
 109 # Please note that the order inside the list FLAGaverage (if there is more 
 110 # than one) # is significant, the last item will be plotted last and will 
 111 # therefore be plotted on top of all others.
 112 
 113 FLAGaverage=[ # there should be as many entries for average as there are data sets
 114 	      # in the case where no average is provided for a given data set
 115 	      # just replace the central value by "NaN"
 116 	      # 
 117 	      # with respect to the above there is another column at the end specifying
 118 	      # the type of FLAG-band
 119 	      # 0 -> dashed lines marking the edge of the interval
 120 	      # 1 -> grey area bounded by solid black lines
 121 [np.nan,1.,1.,0.,0., "",['^','k','k',0,tpos],1],
 122 #[0,0,0,0.,0., "dummy",['s','k','k',0,0],0],
 123 [0.485 , te(0.011,0.008,0.014), te(0.011,0.008,0.014), 0.011 , 0.011, "FLAG average for $\\rm N_f=2+1$",['s','k','k',0,tpos],1],
 124 [0.513 , te(0.018,0.024,0.006), te(0.018,0.024,0.006), 0.018 , 0.018, "FLAG average for $\\rm N_f=2+1+1$",['s','k','k',0,tpos],1]]
 125 
 126 # The follwing list should contain the list names of the previous DATA-blocks
 127 datasets=[datapheno,dat2p1,dat2p1p1]
 128 
 129 ################################################################################
 130 # DO NOT EDIT THE FOLLOWING ####################################################
 131 ################################################################################
 132 
 133 
 134 # Now that all the relevant has been specified, generate the plot.
 135 # Please make sure that you have a directory called "plots" in you current 
 136 # working directory. That's where all plots will be stored 
 137 #execfile('FLAGplot.py')
 138 exec(compile(open('FLAGplot.py').read(), 'FLAGplot.py', 'exec'))
 139 
 140 # additional documentation:
 141 # '.' 	point marker
 142 # ',' 	pixel marker
 143 # 'o' 	circle marker
 144 # 'v' 	triangle_down marker
 145 # '^' 	triangle_up marker
 146 # '<' 	triangle_left marker
 147 # '>' 	triangle_right marker
 148 # '1' 	tri_down marker
 149 # '2' 	tri_up marker
 150 # '3' 	tri_left marker
 151 # '4' 	tri_right marker
 152 # 's' 	square marker
 153 # 'p' 	pentagon marker
 154 # '*' 	star marker
 155 # 'h' 	hexagon1 marker
 156 # 'H' 	hexagon2 marker
 157 # '+' 	plus marker
 158 # 'x' 	x marker
 159 # 'D' 	diamond marker
 160 # 'd' 	thin_diamond marker
 161 # '|' 	vline marker
 162 # '_' 	hline marker

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