Symmetry-Breaking Effects on Form Factors and Observables in $B \to K_0^*(1430)μ^+μ^-$ Decay
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| Format: | Preprint |
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2026
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| _version_ | 1866909027190964224 |
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| author | Ayub, Saba Shafaq, Saba Sikandar, Arslan Aslam, M. Jamil |
| author_facet | Ayub, Saba Shafaq, Saba Sikandar, Arslan Aslam, M. Jamil |
| contents | In the heavy-quark and large-energy limits, symmetry relations reduce the number of independent form factors governing heavy-to-light $B$-meson decays. Exploiting these relations, the form factors can be parametrized while systematically incorporating symmetry-breaking corrections from perturbative QCD. Using vertex renormalization together with light-cone distribution amplitudes, we compute the vertex and hard-spectator contributions for the $B \to K_0^*(1430)$ transition. We then analyze the impact of these form factors on physical observables, including the branching ratio and lepton polarization asymmetries $(P_L, P_N)$, in $B \to K_0^*(1430)μ^+μ^-$. Our results indicate that perturbative corrections induce modest shifts of $\sim 3\%$ in both the branching ratio and the normal lepton polarization asymmetry. Consequently, any significant deviation observed experimentally from these predictions would provide a clear signal of potential New Physics effects. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2605_07997 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Symmetry-Breaking Effects on Form Factors and Observables in $B \to K_0^*(1430)μ^+μ^-$ Decay Ayub, Saba Shafaq, Saba Sikandar, Arslan Aslam, M. Jamil High Energy Physics - Phenomenology In the heavy-quark and large-energy limits, symmetry relations reduce the number of independent form factors governing heavy-to-light $B$-meson decays. Exploiting these relations, the form factors can be parametrized while systematically incorporating symmetry-breaking corrections from perturbative QCD. Using vertex renormalization together with light-cone distribution amplitudes, we compute the vertex and hard-spectator contributions for the $B \to K_0^*(1430)$ transition. We then analyze the impact of these form factors on physical observables, including the branching ratio and lepton polarization asymmetries $(P_L, P_N)$, in $B \to K_0^*(1430)μ^+μ^-$. Our results indicate that perturbative corrections induce modest shifts of $\sim 3\%$ in both the branching ratio and the normal lepton polarization asymmetry. Consequently, any significant deviation observed experimentally from these predictions would provide a clear signal of potential New Physics effects. |
| title | Symmetry-Breaking Effects on Form Factors and Observables in $B \to K_0^*(1430)μ^+μ^-$ Decay |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2605.07997 |