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Predictions for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>Λ</mml:mi> <mml:mi>b</mml:mi> </mml:msub> <mml:mo>→</mml:mo> <mml:msub> <mml:mi>Λ</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mi>τ</mml:mi> <mml:mrow> <mml:mover> <mml:mi>ν</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:mrow> </mml:mrow> </mml:math> in BLSSM with inverse seesaw

2026/07/01 by Dris Boubaa, Shaaban Khalil
Computer Science · Physics and Astronomy · #Computational Physics and Python Applications #Neutrino Physics Research #Particle physics theoretical and experimental studies

paper · doi:10.1088/1361-6471/ae8c57

openalex publication_date 2026/07/01 · openalex created_date 2026/07/18 · openalex updated_date 2026/07/29

Abstract

Abstract The persistent deviations observed in semileptonic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi>B</mml:mi> </mml:mrow> </mml:math> decays, in particular the lepton flavor universality (LFU) ratios <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mrow> <mml:mi class="MJX-tex-calligraphic">R</mml:mi> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:msup> <mml:mi>D</mml:mi> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mo>∗</mml:mo> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> </mml:msup> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> </mml:math> and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mrow> <mml:mi class="MJX-tex-calligraphic">R</mml:mi> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:msub> <mml:mi mathvariant="normal">Λ</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> </mml:math> , provide intriguing hints of physics beyond the standard model (SM). While current measurements remain limited by experimental uncertainties, their lower central values compared to SM expectations motivate further theoretical scrutiny. In this work we study these observables within the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi>B</mml:mi> <mml:mo>−</mml:mo> <mml:mi>L</mml:mi> </mml:mrow> </mml:math> Supersymmetric SM with an inverse seesaw (BLSSM-IS). We emphasize the role of penguin diagrams involving charginos, neutralinos, and right-handed sneutrinos, which induce flavor-dependent loop corrections to the effective <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi>W</mml:mi> <mml:mi>ℓ</mml:mi> <mml:mi>ν</mml:mi> </mml:mrow> </mml:math> vertex. These corrections can suppress the light-lepton decay rates relative to the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mi>τ</mml:mi> </mml:mrow> </mml:math> mode, leading to a modest enhancement of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mrow> <mml:mi class="MJX-tex-calligraphic">R</mml:mi> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:msup> <mml:mi>D</mml:mi> <mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:mo>∗</mml:mo> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> </mml:msup> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> </mml:math> and, through the sum rule, <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" overflow="scroll"> <mml:mrow> <mml:mrow> <mml:mi class="MJX-tex-calligraphic">R</mml:mi> </mml:mrow> <mml:mo stretchy="false">(</mml:mo> <mml:msub> <mml:mi mathvariant="normal">Λ</mml:mi> <mml:mi>c</mml:mi> </mml:msub> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> </mml:math> . We present updated numerical results illustrating the correlation between mesonic and baryonic observables, showing that the BLSSM-IS framework provides a natural and testable explanation of the current data. Our findings underline the importance of upcoming precision measurements at Belle II and the LHCb upgrade in clarifying the possible role of supersymmetry in LFU violation.

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