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| Format: | Preprint |
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2024
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| Online-Zugang: | https://arxiv.org/abs/2412.05778 |
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| _version_ | 1866910733369868288 |
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| author | Yamazaki, Takeshi Ishikawa, Ken-ichi Ishizuka, Naruhito Kuramashi, Yoshinobu Namekawa, Yusuke Taniguchi, Yusuke Collaboration, Naoya Ukita for PACS |
| author_facet | Yamazaki, Takeshi Ishikawa, Ken-ichi Ishizuka, Naruhito Kuramashi, Yoshinobu Namekawa, Yusuke Taniguchi, Yusuke Collaboration, Naoya Ukita for PACS |
| contents | We calculate the form factors for the kaon semileptonic decay process using the PACS10 configurations, whose physical volume is more than (10 fm)$^4$ very close to the physical point. The configurations were generated with 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. We present updated results for the form factors, and discuss their continuum extrapolations, momentum transfer interpolation, and short chiral extrapolation to tune the simulated pion and kaon masses to the physical ones. From the results with various analyses, the systematic error of the form factor at the zero momentum transfer is estimated. The value of $|V_{us}|$ is determined using our result, and is compared with those using the previous calculations and also those determined through the kaon leptonic decay process. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_05778 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Update of kaon semileptonic form factor using $N_f=2+1$ PACS10 configurations Yamazaki, Takeshi Ishikawa, Ken-ichi Ishizuka, Naruhito Kuramashi, Yoshinobu Namekawa, Yusuke Taniguchi, Yusuke Collaboration, Naoya Ukita for PACS High Energy Physics - Lattice We calculate the form factors for the kaon semileptonic decay process using the PACS10 configurations, whose physical volume is more than (10 fm)$^4$ very close to the physical point. The configurations were generated with 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. We present updated results for the form factors, and discuss their continuum extrapolations, momentum transfer interpolation, and short chiral extrapolation to tune the simulated pion and kaon masses to the physical ones. From the results with various analyses, the systematic error of the form factor at the zero momentum transfer is estimated. The value of $|V_{us}|$ is determined using our result, and is compared with those using the previous calculations and also those determined through the kaon leptonic decay process. |
| title | Update of kaon semileptonic form factor using $N_f=2+1$ PACS10 configurations |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2412.05778 |