Investigating New Physics through the Observables of Semileptonic $B_{s}\to K^{\ast}(\to K π)μ^{+}μ^{-}$ Decay

Fuente: arXiv
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Main Authors: Aarfi, Zohaib, Salam, Qazi Maaz Us, Ahmed, Ishtiaq, Bhutta, Faisal Munir, Khalid, Rizwan, Paracha, M. Ali
Format: Preprint
Published: 2025
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author Aarfi, Zohaib
Salam, Qazi Maaz Us
Ahmed, Ishtiaq
Bhutta, Faisal Munir
Khalid, Rizwan
Paracha, M. Ali
author_facet Aarfi, Zohaib
Salam, Qazi Maaz Us
Ahmed, Ishtiaq
Bhutta, Faisal Munir
Khalid, Rizwan
Paracha, M. Ali
contents The rare four-fold decay $B_s \to K^*(\to Kπ)μ^+μ^- $, governed by the flavor-changing neutral current transition $b \to dμ^+μ^-$, provides a sensitive probe for testing the Standard Model (SM) and investigating signatures of new physics (NP). This work presents a comprehensive model-independent analysis of the decay using the framework of the weak effective field theory. We compute a set of key physical observables, including the differential branching ratio, forward-backward asymmetry, longitudinal polarization fraction, and several normalized angular coefficients $\langle I_i\rangle$, as a function of the dilepton invariant mass squared $q^2$. The impact of NP is explored via both one-dimensional (1D) and two-dimensional (2D) scenarios involving NP Wilson coefficients $C_7^{\text{NP}}$, $C_9^{(\prime)\text{NP}}$, and $C_{10}^{(\prime)\text{NP}}$. Our findings reveal notable deviations from the SM predictions across multiple observables. Furthermore, we analyze the correlations between different observables and their 2D contour plots which would be useful to further constrain the parametric space of possible NP contributions. This study reinforces the potential of $B_s \to K^* μ^+ μ^-$ decay as a complementary channel in the search for physics beyond the SM.
format Preprint
id arxiv_https___arxiv_org_abs_2506_20446
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Investigating New Physics through the Observables of Semileptonic $B_{s}\to K^{\ast}(\to K π)μ^{+}μ^{-}$ Decay
Aarfi, Zohaib
Salam, Qazi Maaz Us
Ahmed, Ishtiaq
Bhutta, Faisal Munir
Khalid, Rizwan
Paracha, M. Ali
High Energy Physics - Phenomenology
The rare four-fold decay $B_s \to K^*(\to Kπ)μ^+μ^- $, governed by the flavor-changing neutral current transition $b \to dμ^+μ^-$, provides a sensitive probe for testing the Standard Model (SM) and investigating signatures of new physics (NP). This work presents a comprehensive model-independent analysis of the decay using the framework of the weak effective field theory. We compute a set of key physical observables, including the differential branching ratio, forward-backward asymmetry, longitudinal polarization fraction, and several normalized angular coefficients $\langle I_i\rangle$, as a function of the dilepton invariant mass squared $q^2$. The impact of NP is explored via both one-dimensional (1D) and two-dimensional (2D) scenarios involving NP Wilson coefficients $C_7^{\text{NP}}$, $C_9^{(\prime)\text{NP}}$, and $C_{10}^{(\prime)\text{NP}}$. Our findings reveal notable deviations from the SM predictions across multiple observables. Furthermore, we analyze the correlations between different observables and their 2D contour plots which would be useful to further constrain the parametric space of possible NP contributions. This study reinforces the potential of $B_s \to K^* μ^+ μ^-$ decay as a complementary channel in the search for physics beyond the SM.
title Investigating New Physics through the Observables of Semileptonic $B_{s}\to K^{\ast}(\to K π)μ^{+}μ^{-}$ Decay
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2506.20446