$|V_{us}|$ from kaon semileptonic form factor in $N_f=2+1$ QCD at the physical point on (10 fm)${}^4$

Abstract

We present a preliminary result of the kaon semileptonic form factor calculated at the smallest lattice spacing in the PACS10 configurations, whose physical volumes are more than (10 fm)${}^4$ at the physical point. The configurations were generated using the Iwasaki gauge action and $N_f=2+1$ stout-smeared nonperturbatively $O(a)$ improved Wilson quark action at the three lattice spacings, 0.085, 0.063, and 0.041 fm. The value of $|V_{us}|$ in the continuum limit is estimated from our results including the preliminary one. We compare our result of $|V_{us}|$ with the previous results and those through the kaon leptonic decay.

Comments: 7 pages, 5 figures, Proceedings of the 40th International Symposium on Lattice Field Theory (Lattice 2023)