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| Hauptverfasser: | , , , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| Online-Zugang: | https://arxiv.org/abs/2501.00215 |
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| _version_ | 1866912223919603712 |
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| author | Jwa, Seungyeob Kim, Jeehun Kim, Sunghee Lee, Sunkyu Lee, Weonjong Leem, Jaehoon Park, Sungwoo |
| author_facet | Jwa, Seungyeob Kim, Jeehun Kim, Sunghee Lee, Sunkyu Lee, Weonjong Leem, Jaehoon Park, Sungwoo |
| contents | We report recent progress on $\varepsilon_K$ evaluated directly from the standard model (SM) with lattice QCD inputs such as $\hat{B}_K$, exclusive $|V_{cb}|$, $|V_{us}|$, $|V_{ud}|$, $ξ_0$, $ξ_2$, $ξ_\text{LD}$, $f_K$, and $m_c$. We find that the standard model with exclusive $|V_{cb}|$ and lattice QCD inputs describes only $2/3 \cong 65\%$ of the experimental value of $|\varepsilon_K|$ and does not explain its remaining 35\%, which represents a strong tension in $|\varepsilon_K|$ at the $5.1σ\sim 4.1σ$ level between the SM theory and experiment. We also find that this tension disappears when we use the inclusive value of $|V_{cb}|$ obtained using the heavy quark expansion based on the QCD sum rule approach. We also report results for $|\varepsilon_K|$ obtained using the Brod-Gorbahn-Stamou (BGS) method for $η_i$ of $u-t$ unitarity, which leads to even a stronger tension of $5.7σ\sim 4.2σ$ with lattice QCD inputs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00215 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | 2024 Update on $\varepsilon_K$ with lattice QCD inputs Jwa, Seungyeob Kim, Jeehun Kim, Sunghee Lee, Sunkyu Lee, Weonjong Leem, Jaehoon Park, Sungwoo High Energy Physics - Lattice We report recent progress on $\varepsilon_K$ evaluated directly from the standard model (SM) with lattice QCD inputs such as $\hat{B}_K$, exclusive $|V_{cb}|$, $|V_{us}|$, $|V_{ud}|$, $ξ_0$, $ξ_2$, $ξ_\text{LD}$, $f_K$, and $m_c$. We find that the standard model with exclusive $|V_{cb}|$ and lattice QCD inputs describes only $2/3 \cong 65\%$ of the experimental value of $|\varepsilon_K|$ and does not explain its remaining 35\%, which represents a strong tension in $|\varepsilon_K|$ at the $5.1σ\sim 4.1σ$ level between the SM theory and experiment. We also find that this tension disappears when we use the inclusive value of $|V_{cb}|$ obtained using the heavy quark expansion based on the QCD sum rule approach. We also report results for $|\varepsilon_K|$ obtained using the Brod-Gorbahn-Stamou (BGS) method for $η_i$ of $u-t$ unitarity, which leads to even a stronger tension of $5.7σ\sim 4.2σ$ with lattice QCD inputs. |
| title | 2024 Update on $\varepsilon_K$ with lattice QCD inputs |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2501.00215 |