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Electroweak box diagrams on the lattice for pion and neutron decay

Jun-Sik YooTanmoy BhattacharyaRajan GuptaSantanu MondalBoram Yoon
Dec 2022
摘要
CKM matrix is unitary by construction in the standard model(SM). The recentanalyses on the first row of CKM matrix show $ \approx 3\sigma$ tension withunitarity. Nonperturbative calculations of the radiative corrections can reducethe theory uncertainty in CKM matrix elements. Here we compute the electroweakbox contribution to the pion and kaon $\beta$ decays using seven $N_f=2+1+1$HISQ-Clover lattice with various pion mass and lattice spacing. The continuumand chiral limit is taken using the leading dependence on $M_\pi$ and $a$,where $M_\pi$ extrapolation is taken to the physical pion mass and $SU(3)$symmetric mass for pion and kaon box contribution, respectively. Our resultsare $ \square_{\gamma W}^{VA} |_{\pi} = 2.820 (28) \times 10^{-3} $ and $\square_{\gamma W}^{VA} |_{K} = 2.384 (17) \times 10^{-3} $.
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