CP violation in $K\toμ^+μ^-$ with and without time dependence through a tagged analysis
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| Format: | Preprint |
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2025
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| _version_ | 1866911697723195392 |
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| author | D'Ambrosio, Giancarlo Dery, Avital Grossman, Yuval Kitahara, Teppei Marchevski, Radoslav Santos, Diego Martínez Schacht, Stefan |
| author_facet | D'Ambrosio, Giancarlo Dery, Avital Grossman, Yuval Kitahara, Teppei Marchevski, Radoslav Santos, Diego Martínez Schacht, Stefan |
| contents | We point out that using current knowledge of ${\cal B}(K^0_L\toμ^+μ^-)$ and $ {\cal B}(K^0_L\to γγ)$, one can extract short-distance information from the combined measurement of the time-integrated CP asymmetry, $A_{\rm CP}(K^0\toμ^+μ^-)$, and of ${\cal B}(K^0_S\toμ^+μ^-)$. We discuss the interplay between this set of observables, and demonstrate that determining ${\rm sign}[A_{\rm CP}(K^0\toμ^+μ^-)]$ would eliminate the discrete ambiguity in the Standard Model prediction for ${\cal B}(K^0_L\toμ^+μ^-)$. We then move on to feasibility studies within an LHCb-like setup, using both time-integrated and time-dependent information, employing $K^0$ and $\overline K{}^0$ tagging methods. We find that, within an optimistic scenario, the short-distance amplitude, proportional to the CKM parameter combination $|A^2λ^5\barη|$, could be constrained by LHCb at the level of about $35\%$ of its Standard Model value, and the discrete ambiguity in ${\cal B}(K^0_L\toμ^+μ^-)_{\rm SM}$ could be resolved at more than $3σ$ by the end of the high luminosity LHC. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13445 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | CP violation in $K\toμ^+μ^-$ with and without time dependence through a tagged analysis D'Ambrosio, Giancarlo Dery, Avital Grossman, Yuval Kitahara, Teppei Marchevski, Radoslav Santos, Diego Martínez Schacht, Stefan High Energy Physics - Phenomenology High Energy Physics - Experiment We point out that using current knowledge of ${\cal B}(K^0_L\toμ^+μ^-)$ and $ {\cal B}(K^0_L\to γγ)$, one can extract short-distance information from the combined measurement of the time-integrated CP asymmetry, $A_{\rm CP}(K^0\toμ^+μ^-)$, and of ${\cal B}(K^0_S\toμ^+μ^-)$. We discuss the interplay between this set of observables, and demonstrate that determining ${\rm sign}[A_{\rm CP}(K^0\toμ^+μ^-)]$ would eliminate the discrete ambiguity in the Standard Model prediction for ${\cal B}(K^0_L\toμ^+μ^-)$. We then move on to feasibility studies within an LHCb-like setup, using both time-integrated and time-dependent information, employing $K^0$ and $\overline K{}^0$ tagging methods. We find that, within an optimistic scenario, the short-distance amplitude, proportional to the CKM parameter combination $|A^2λ^5\barη|$, could be constrained by LHCb at the level of about $35\%$ of its Standard Model value, and the discrete ambiguity in ${\cal B}(K^0_L\toμ^+μ^-)_{\rm SM}$ could be resolved at more than $3σ$ by the end of the high luminosity LHC. |
| title | CP violation in $K\toμ^+μ^-$ with and without time dependence through a tagged analysis |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2507.13445 |