PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Standard Model Parameters
Electroweak box diagrams on the lattice for pion and neutron decay
J.S. Yoo*, T. Bhattacharya, R. Gupta, S. Mondal and B. Yoon
Full text: pdf
Pre-published on: February 14, 2023
Published on: April 06, 2023
CKM matrix is unitary by construction in the standard model(SM). The recent analyses on the first row of CKM matrix show $ \approx 3\sigma$ tension with unitarity. Nonperturbative
calculations of the radiative corrections can reduce the theory uncertainty in CKM matrix elements.
Here we compute the electroweak box 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 continuum and 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 results are $ \square_{\gamma W}^{VA} |_{\pi} = 2.820 (28) \times 10^{-3} $ and $ \square_{\gamma W}^{VA} |_{K} = 2.384 (17) \times 10^{-3} $.
DOI: https://doi.org/10.22323/1.430.0360
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