Unraveling New Physics Effects in $b \rightarrow s \ell_1 \ell_2$ Transitions with a Model-Independent Perspective

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Main Authors: Bhatta, Aishwarya, Panda, Dhiren, Mohanta, Rukmani
Format: Preprint
Published: 2025
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author Bhatta, Aishwarya
Panda, Dhiren
Mohanta, Rukmani
author_facet Bhatta, Aishwarya
Panda, Dhiren
Mohanta, Rukmani
contents Motivated by recent anomalies in observables associated with flavor-changing neutral current (FCNC) transitions, specifically $b \rightarrow s \ell^+ \ell^-$ processes, we present a comprehensive analysis of lepton flavor-violating (LFV) decay modes mediated by $b \rightarrow s \ell_1 \ell_2$ transitions with $\ell_1 \neq \ell_2$. While such LFV processes are forbidden within the Standard Model (SM), they naturally arise in several of its extensions, including models featuring additional vector-like fermions and extra $Z'$ bosons. Employing the most general effective Hamiltonian for $b \rightarrow s \ell_1 \ell_2$ transitions, we derive the angular distributions of the relevant decay modes. Adopting a model-independent framework, we systematically study the LFV decays $B \rightarrow K^* \ell_1 \ell_2$, $B_s \rightarrow ϕ\ell_1 \ell_2$, $B \rightarrow K_2^* \ell_1 \ell_2$, and $Λ_b \rightarrow Λ\ell_1 \ell_2$. Although LFV mesonic decays have been widely explored, the corresponding baryonic decays remain comparatively under-investigated. We provide bounds on branching ratio ($\mathcal{B}$), forward-backward asymmetry ($\mathcal{A}_{FB}$), and longitudinal lepton polarization fraction ($\mathcal{F}_L$). Furthermore, considering the projected sensitivities of the LHCb upgrade and Belle II experiments, we estimate upper limits for these observables, offering promising avenues for probing new physics in these LFV channels.
format Preprint
id arxiv_https___arxiv_org_abs_2505_05125
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Unraveling New Physics Effects in $b \rightarrow s \ell_1 \ell_2$ Transitions with a Model-Independent Perspective
Bhatta, Aishwarya
Panda, Dhiren
Mohanta, Rukmani
High Energy Physics - Phenomenology
Motivated by recent anomalies in observables associated with flavor-changing neutral current (FCNC) transitions, specifically $b \rightarrow s \ell^+ \ell^-$ processes, we present a comprehensive analysis of lepton flavor-violating (LFV) decay modes mediated by $b \rightarrow s \ell_1 \ell_2$ transitions with $\ell_1 \neq \ell_2$. While such LFV processes are forbidden within the Standard Model (SM), they naturally arise in several of its extensions, including models featuring additional vector-like fermions and extra $Z'$ bosons. Employing the most general effective Hamiltonian for $b \rightarrow s \ell_1 \ell_2$ transitions, we derive the angular distributions of the relevant decay modes. Adopting a model-independent framework, we systematically study the LFV decays $B \rightarrow K^* \ell_1 \ell_2$, $B_s \rightarrow ϕ\ell_1 \ell_2$, $B \rightarrow K_2^* \ell_1 \ell_2$, and $Λ_b \rightarrow Λ\ell_1 \ell_2$. Although LFV mesonic decays have been widely explored, the corresponding baryonic decays remain comparatively under-investigated. We provide bounds on branching ratio ($\mathcal{B}$), forward-backward asymmetry ($\mathcal{A}_{FB}$), and longitudinal lepton polarization fraction ($\mathcal{F}_L$). Furthermore, considering the projected sensitivities of the LHCb upgrade and Belle II experiments, we estimate upper limits for these observables, offering promising avenues for probing new physics in these LFV channels.
title Unraveling New Physics Effects in $b \rightarrow s \ell_1 \ell_2$ Transitions with a Model-Independent Perspective
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2505.05125