17  blinded D96

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 = 6.950(65)e-8 , $\chi^2/dof=$ 0.0004013

amu_{bound_meff_t}_(TM)_below = 6.975(60)e-8 , $\chi^2/dof=$ 0.013201

amu_{bound_meff}_(TM)_above = 6.912(44)e-8 , $\chi^2/dof=$ 0.0068194

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amu_{bound}_(OS)_below = 6.652(60)e-8 , $\chi^2/dof=$ 0.028621

amu_{bound_meff_t}_(OS)_below = 6.691(59)e-8 , $\chi^2/dof=$ 0.1539

amu_{bound_meff}_(OS)_above = 6.699(44)e-8 , $\chi^2/dof=$ 0.013234

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17.1 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 = 0.2019(21) , $\chi^2/dof=$ 1.0979

M_VKVK_OS = 0.2065(21) , $\chi^2/dof=$ 0.74306

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17.2 FVE

DV_DM = 5.927959e-10 +- 5e-11

DV_to_C80 = -9.129034e-12 +- 4e-12

17.3 Statistic

amu_{bound}_(TM)_below444 = 6.950(65)e-8 , $\chi^2/dof=$ 0.0004013

amu_{bound_meff_t}_(TM)_below444 = 6.975(60)e-8 , $\chi^2/dof=$ 0.013201

amu_{bound_meff}_(TM)_above444 = 6.912(44)e-8 , $\chi^2/dof=$ 0.0068194

amu_{bound}_(TM)_below256 = 6.924(83)e-8 , $\chi^2/dof=$ 0.00063401

amu_{bound_meff_t}_(TM)_below256 = 6.942(77)e-8 , $\chi^2/dof=$ 0.0011906

amu_{bound_meff}_(TM)_above256 = 6.868(49)e-8 , $\chi^2/dof=$ 0.0010163

amu_{bound}_(TM)_below184 = 6.904(88)e-8 , $\chi^2/dof=$ 0.017074

amu_{bound_meff_t}_(TM)_below184 = 6.925(87)e-8 , $\chi^2/dof=$ 0.0031706

amu_{bound_meff}_(TM)_above184 = 6.857(55)e-8 , $\chi^2/dof=$ 0.01011

amu_{bound}_(TM)_below122 = 6.781(95)e-8 , $\chi^2/dof=$ 0.011506

amu_{bound_meff_t}_(TM)_below122 = 6.815(98)e-8 , $\chi^2/dof=$ 0.073678

amu_{bound_meff}_(TM)_above122 = 6.827(61)e-8 , $\chi^2/dof=$ 0.011975

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