18  blinded continuum

the different bounding are:

• Above

  1. $c(t>t_c)< c(t_c) e^{-E_{2\pi} (t-t_c)}$

  2. $c(t>t_c)< c(t_c) e^{-M_{eff} (t-t_c)}$ where $M_{eff}$ is the plateau value of $m_{eff}(t)$ of the correlator VKVK.

• below

  1. $c(t>t_c) > 0$

  2. $c(t>t_c)< c(t_c) e^{-m_{eff}(t_m) (t-t_c)}$, where $t_m=t_c$ for $t_c<t_e$ while $t_m=t_e$ for $t_c\geq t_e$ and $t_e$ is some time slice

19 $c(t)>0$ bound: above 1) and below 1) (BMW)

3 params fit

$\chi^2/dof=$ 1.38911

P	value
P[0]	6.92(11)e-8
P[1]	2.0(2.0)e-7
P[2]	-6.6(2.0)e-7

5 params fit

$\chi^2/dof=$ 3.59549

P	value
P[0]	7.04(54)e-8
P[1]	-4(23)e-7
P[2]	-1.1(2.3)e-6
P[3]	8(23)e-5
P[4]	4(24)e-5

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20 $m_{eff}(t)$ bound: above 1) and below 2) (Tov or RBC/UKQCD)

$\chi^2/dof=$ 1.15772

P	value
P[0]	6.89(10)e-8
P[1]	3.0(1.9)e-7
P[2]	-5.9(1.9)e-7

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21 $M_{eff}$ bound: above 2) and below 2)

$\chi^2/dof=$ 3.41275

P	value
P[0]	6.918(79)e-8
P[1]	1.6(1.6)e-7
P[2]	-5.8(1.5)e-7

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21.1 All data from different bounds

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21.2 fitting (OS+TM)/2

P[0] is the value of the continuum limit, fit function: $P[0]+P[1]a^2$

amu_ave_bound_a2 $\chi^2/dof=$ 0.141149

P	value
P[0]	6.91(11)e-8
P[1]	-1.9(2.0)e-7

amu_ave_bound_meff_t_a2 $\chi^2/dof=$ 0.26858

P	value
P[0]	6.93(11)e-8
P[1]	-1.7(1.9)e-7

amu_ave_bound_meff_a2 $\chi^2/dof=$ 1.78302

P	value
P[0]	6.844(81)e-8
P[1]	-4(16)e-8

click on the legend to remove a data set

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21.3 tree level lattice artefact subtraction

3 params fit

$\chi^2/dof=$ 1.42685

P	value
P[0]	6.93(11)e-8
P[1]	1.0(2.0)e-7
P[2]	-8.0(1.9)e-7

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