Forward backward CP asymmetry in $τ^- \to K πν_τ$ in the Left-Right Inverse seesaw model
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arXiv
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| Natura: | Preprint |
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2026
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| _version_ | 1866908996889214976 |
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| author | Delepine, David Khalil, Shaaban |
| author_facet | Delepine, David Khalil, Shaaban |
| contents | Recent measurements of the integrated CP asymmetry in $τ\to Kπν_τ$ decays by the BaBar collaboration exhibit a $2.8σ$ deviation from the Standard Model (SM) prediction. In this work, we investigate CP-violating effects in $τ\to Kπν_τ$ within the model of the Left--Right Inverse Seesaw (LRIS) model. We show that, although the integrated asymmetry remains too small to account for the BaBar result, the model nevertheless predicts a pronounced signal in the \emph{differential} forward--backward CP asymmetry, $A_{\rm CP}^{\rm FB}(s)$. We derive the effective $|ΔS| = 1$ Hamiltonian relevant for these decays and identify a dominant non-decoupling scalar operator, $g_S$, generated by a top-quark flavor-changing neutral current box diagram involving heavy neutrinos and scalar exchange. Our numerical analysis demonstrates that, while this contribution largely cancels in the integrated $A_{\rm CP}$, it significantly enhances $A_{\rm CP}^{\rm FB}(s)$ through interference with the SM vector current, leading to distinctive kinematic features near the $K^*(892)$ and $K_0^*(1430)$ resonances. These angular and differential observables provide a sensitive probe of the LRIS scalar sector at current and future flavor experiments, in particular Belle~II. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24924 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Forward backward CP asymmetry in $τ^- \to K πν_τ$ in the Left-Right Inverse seesaw model Delepine, David Khalil, Shaaban High Energy Physics - Phenomenology High Energy Physics - Experiment Recent measurements of the integrated CP asymmetry in $τ\to Kπν_τ$ decays by the BaBar collaboration exhibit a $2.8σ$ deviation from the Standard Model (SM) prediction. In this work, we investigate CP-violating effects in $τ\to Kπν_τ$ within the model of the Left--Right Inverse Seesaw (LRIS) model. We show that, although the integrated asymmetry remains too small to account for the BaBar result, the model nevertheless predicts a pronounced signal in the \emph{differential} forward--backward CP asymmetry, $A_{\rm CP}^{\rm FB}(s)$. We derive the effective $|ΔS| = 1$ Hamiltonian relevant for these decays and identify a dominant non-decoupling scalar operator, $g_S$, generated by a top-quark flavor-changing neutral current box diagram involving heavy neutrinos and scalar exchange. Our numerical analysis demonstrates that, while this contribution largely cancels in the integrated $A_{\rm CP}$, it significantly enhances $A_{\rm CP}^{\rm FB}(s)$ through interference with the SM vector current, leading to distinctive kinematic features near the $K^*(892)$ and $K_0^*(1430)$ resonances. These angular and differential observables provide a sensitive probe of the LRIS scalar sector at current and future flavor experiments, in particular Belle~II. |
| title | Forward backward CP asymmetry in $τ^- \to K πν_τ$ in the Left-Right Inverse seesaw model |
| topic | High Energy Physics - Phenomenology High Energy Physics - Experiment |
| url | https://arxiv.org/abs/2604.24924 |