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7  Pion B64

7.1 Pion only sea corrections

M_{PS} = 0.056582(45) χ2/dof= 1.2693

M_{PS}+mul_correction = 0.056606(47) χ2/dof= 1.0643

M_{PS}+mus_correction = 0.056604(72) χ2/dof= 1.2666

M_{PS}+muc_correction = 0.05706(38) χ2/dof= 0.5764

010203040506000.10.20.30.40.50.60.7
\verb|M_{PS}|\verb|M_{PS}+mul_correction|\verb|M_{PS}+mus_correction|\verb|M_{PS}+muc_correction|\verb|M_{PS}_rewlTM|\verb|M_{PS}_rewsOS|\verb|M_{PS}_rewcOS|\verb|M_{PS}_rew_scndgTM|\verb|M_{PS}_rewcOS_0.25|\verb|M_{PS}_rewcOS_0.02|\verb|M_{PS}_rew_charm0.1_strange0_ndgTM|\verb|M_{PS}_LMA|

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Delta_mul_M_{PS} = -0.44(19) , χ2/dof= 0.63728

Delta_mus_M_{PS} = 0.08(11) , χ2/dof= 0.62035

Delta_muc_M_{PS} = 0.16(12) , χ2/dof= 0.525

0102030405060−20−15−10−50
\verb|Delta_mul_M_{PS}|\verb|Delta_mus_M_{PS}|\verb|Delta_muc_M_{PS}|

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7.2 fπ

f_{PS} = 0.052565(67) , χ2/dof= 0.037029

f_{PS}+mul_correction = 0.052439(76) , χ2/dof= 0.022604

f_{PS}+mus_correction = 0.05267(11) , χ2/dof= 0.018691

f_{PS}+muc_correction = 0.05230(65) , χ2/dof= 0.0057676

df_{PS}/dmuc_correction = -0.09(21) χ2/dof= 0

f_{PS}+muc_correction = 0.05230(65) χ2/dof= 0.0057676

f_{PS}_rewlTM = 0.052428(82) , χ2/dof= 0.020378

df_{PS}/drewlTM = 2.59(55) χ2/dof= 0

f_{PS}_rewsOS = 0.052559(87) , χ2/dof= 0.029668

f_{PS}_rewcOS = 0.05124(64) , χ2/dof= 0.092219

f_{PS}_rew_scndgTM = χ2/dof= -nan

f_{PS}_rewcOS_0.25 = 0.05233(18) , χ2/dof= 0.0031864

df_{PS}/drewcOS_0.25 = -0.34(23) χ2/dof= 0

f_{PS}(mciso)_rewcOS_0.25 = 0.05162(67) χ2/dof= 0

f_{PS}_rewcOS_0.02 = 0.052563(67) , χ2/dof= 0.037522

df_{PS}/drewcOS_0.02 = -0.04(11) χ2/dof= 0

f_{PS}(mciso)_rewcOS_0.02 = 0.05247(31) χ2/dof= 0

df_{PS}/drewcOS_0.1 = -0.11(13) χ2/dof= 0

f_{PS}(mciso)_rewcOS_0.1 = 0.05226(38) χ2/dof= 0

[1] “same statistic of gm2 LMA” df_{PS}/drewcOS_0.1 = -0.22(10) χ2/dof= 0

f_{PS}(mciso)_rewcOS_0.1 = 0.05199(31) χ2/dof= 0

[1] “—” df_{PS}/drew_charm0.1_strange0_ndgTM = -0.06(17) χ2/dof= 0

f_{PS}(mciso)_rew_charm0.1_strange0_ndgTM = 0.05240(47) χ2/dof= 0

01020304050600.0090.010.0110.0120.0130.0140.0150.0160.0170.018
\verb|f_{PS}|\verb|f_{PS}+mul_correction|\verb|f_{PS}+mus_correction|\verb|f_{PS}+muc_correction|\verb|f_{PS}_rewlTM|\verb|f_{PS}_rewsOS|\verb|f_{PS}_rewcOS|\verb|f_{PS}_rew_scndgTM|\verb|f_{PS}_rewcOS_0.25|\verb|f_{PS}_rewcOS_0.02|

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7.3 Analytic derivative

Delta_mul_f_{PS} = 2.37(38) , χ2/dof= 0.0079826

010203040506011.522.53
\verb|Delta_mul_f_{PS}|

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7.4 derivative

dM_{PS}/dmul_correction dM_{PS}/dmus_correction dM_{PS}/dmuc_correction dM_{PS}/drewlTM dM_{PS}/drewsOS dM_{PS}/drew_charm0.1_strange0_ndgTM dM_{PS}/drewcOS_0.02 dM_{PS}/drewcOS_0.25−0.4−0.3−0.2−0.100.10.20.3

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00.050.10.150.2−0.500.511.5
(df_{PS}/dmuc_correction,loop)(df_{PS}/dmul_correction,loop)(df_{PS}/dmus_correction,loop)(df_{PS}/drew_0.01_to_0.01027408_OS,rew)(df_{PS}/drew_0.03125_to_0.03152408_OS,rew)(df_{PS}/drew_0.1232229005_to_0.1234969805_OS,rew)(df_{PS}/drew_charm0.1_strange0_ndgTM,rew)(df_{PS}/drewcOS_0.02,rew)(df_{PS}/drewcOS_0.1,rew)(df_{PS}/drewcOS_0.1_LMA,rew)(df_{PS}/drewcOS_0.25,rew)(df_{PS}/drewlTM,rew)(df_{PS}/drewsOS,rew)(df_{PS}/drewsOS_LMA,rew)

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0200400600800100012001400−2−1.5−1−0.500.51
looprew

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Warning: The shape palette can deal with a maximum of 6 discrete values because more
than 6 becomes difficult to discriminate
ℹ you have requested 7 values. Consider specifying shapes manually if you need
  that many of them.
0200400600800100012001400−2−1.5−1−0.500.51
f_{PS}d(M_{PS}/f_{PS})/dmuc_correctionf_{PS}d(M_{PS}/f_{PS})/dmul_correctionf_{PS}d(M_{PS}/f_{PS})/dmus_correctionf_{PS}d(M_{PS}/f_{PS})/drewcOS_0.02f_{PS}d(M_{PS}/f_{PS})/drewcOS_0.25f_{PS}d(M_{PS}/f_{PS})/drewlTMf_{PS}d(M_{PS}/f_{PS})/drewsOS

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7.5 der correlator

dC(t=20)/drewlTM dC(t=20)/drewsOS dC(t=20)/drewcOS_0.25−0.500.511.52
dC(t=20)/drewlTM dC(t=20)/drewsOS dC(t=20)/drewcOS_0.25

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7.6 mpcac

mpcac = 2.47(80)e-5 , χ2/dof= 0.5373

0102030405060−0.0100.010.020.030.040.050.060.07
\verb|mpcac|

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7.7 mpcac sea corrections

mpcac = 1.86(83)e-5 χ2/dof= 0.7184

mpcac+mul_correction = 1.5(1.3)e-6 χ2/dof= 2.795

mpcac+mus_correction = 1.5(1.3)e-6 χ2/dof= 2.795

mpcac+muc_correction = 1.5(1.3)e-6 χ2/dof= 2.795

0102030405060−0.0100.010.020.030.040.050.060.070.08
\verb|mpcac|\verb|mpcac+mul_correction|\verb|mpcac+mus_correction|\verb|mpcac+muc_correction|\verb|mpcac_rewlTM|\verb|mpcac_rewsOS|\verb|mpcac_rewcOS|

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8 sources scaling

01020304050600.10.20.30.40.50.6
\verb|M_{PS}_rewlTM_100s|\verb|M_{PS}_rewlTM_50s|\verb|M_{PS}_rewlTM_25s|\verb|M_{PS}_rewlTM_1s|

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01020304050600.10.20.30.40.50.6
\verb|M_{PS}_rewcOS_0.1_h20|\verb|M_{PS}_rewcOS_0.1_h10|\verb|M_{PS}_rewcOS_0.1_h5|

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8.1 rew history

the step in strange is dmu=-5.942533e-4 while in all the other is set to 0.1 the step for the charm dmu=2.35147398e-4

20040060080010001200012345
c h20c h10c h5s 0.01-0.01027 conf

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8.2 histogram jackknife distribution

The error is the width of the distribution multiplied by N1

8.3 histogram loop

8.4 histogram rew

8.4.1 M