18  blinded B64

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

The different labels refer to:

• amu_{bound}_(TM)_below: bounding above 1. and below 1. (BMW)

• amu_{bound_meff_t}_(TM)_below: bounding above 1. and below 2. (ROME)

• amu_{bound_meff}_(TM)_below: bounding above 2. and below 2.

amu_{bound}_(TM)_below = 6.997(53)e-8 , $\chi^2/dof=$ 0.042039

amu_{bound_meff_t}_(TM)_below = 7.036(55)e-8 , $\chi^2/dof=$ 0.03151

amu_{bound_meff}_(TM)_above = 7.033(49)e-8 , $\chi^2/dof=$ 0.025839

<r >

amu_{bound}_(OS)_below = 6.391(37)e-8 , $\chi^2/dof=$ 0.043096

amu_{bound_meff_t}_(OS)_below = 6.419(36)e-8 , $\chi^2/dof=$ 0.36111

amu_{bound_meff}_(OS)_above = 6.444(27)e-8 , $\chi^2/dof=$ 0.013623

<r >

18.1 effective mass VKVK

vertical line at $t_e$ which correspond to the last mass used in the bounding of $a_\mu$, i.e. for $t_{cut}> t_e$ we use $m_{eff}(t_{e})$

M_VKVK_TM = 0.2519(73) , $\chi^2/dof=$ 0.96292

M_VKVK_OS = 0.3020(23) , $\chi^2/dof=$ 0.18108

<r >

18.2 FVE

DV_DM = 4.925636e-10 +- 5e-11

DV_to_C80 = 4.936925e-10 +- 4e-12

18.3 rew

Warning: There was 1 warning in `mutate()`.
ℹ In argument: `y = (function (x) ...`.
Caused by warning:
! NaNs produced

VKVK_TM = 0.0506088(17) , $\chi^2/dof=$ -nan

Warning: There was 1 warning in `mutate()`.
ℹ In argument: `y = (function (x) ...`.
Caused by warning:
! NaNs produced

VKVK_OS = 0.0889825(13) , $\chi^2/dof=$ inf

Warning: There was 1 warning in `mutate()`.
ℹ In argument: `y = (function (x) ...`.
Caused by warning:
! NaNs produced

VKVK_TM_rew = 0.0506004(30) , $\chi^2/dof=$ -nan

Warning: There was 1 warning in `mutate()`.
ℹ In argument: `y = (function (x) ...`.
Caused by warning:
! NaNs produced

VKVK_OS_rew = 0.0889883(16) , $\chi^2/dof=$ -nan

<r >

amu_{bound_meff_t}_(TM)_below = 6.660(47)e-8 , $\chi^2/dof=$ 0.079743

amu_{bound_meff_t}_(TM)_above = 6.660(47)e-8 , $\chi^2/dof=$ 0.079743

amu_{bound_meff_t}_(TM)_rew_below = 6.608(53)e-8 , $\chi^2/dof=$ 0.085422

amu_{bound_meff_t}_(TM)_rew_above = 6.608(53)e-8 , $\chi^2/dof=$ 0.085422

amu_{bound_meff_t}_(OS)_below = 6.135(39)e-8 , $\chi^2/dof=$ 0.23458

amu_{bound_meff_t}_(OS)_above = 6.135(39)e-8 , $\chi^2/dof=$ 0.23458

amu_{bound_meff_t}_(OS)_rew_below = 6.148(41)e-8 , $\chi^2/dof=$ 0.059897

amu_{bound_meff_t}_(OS)_rew_above = 6.148(41)e-8 , $\chi^2/dof=$ 0.059897

<r >