Investigating non-local contributions in B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ including higher-twist effects

Investigating non-local contributions in B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ including higher-twist effects

Abstract We analyze the impact of higher-twist three-particle B s -meson light-cone distribution amplitudes (LCDAs) on the non-local form factors for the B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ transition focusing on the ‘charm-loop’ contribution within the light-cone sum rule (LCSR) f...

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Bibliographic Details
Main Authors: M. S. A. Alam Khan, Rusa Mandal, Praveen S Patil, Ipsita Ray
Format: Article
Language:English
Published: SpringerOpen 2025-07-01
Series:Journal of High Energy Physics
Subjects:
Bottom Quarks
Rare Decays
Semi-Leptonic Decays
Online Access:https://doi.org/10.1007/JHEP07(2025)068
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Summary:Abstract We analyze the impact of higher-twist three-particle B s -meson light-cone distribution amplitudes (LCDAs) on the non-local form factors for the B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ transition focusing on the ‘charm-loop’ contribution within the light-cone sum rule (LCSR) framework. To analytically continue these charm-loop contributions into the kinematically allowed region of the decay, we employ a hadronic dispersion relation that incorporates intermediate resonant states such as the ϕ, J/Ψ and ψ(2S) mesons. Here, the LCSR predictions serve as inputs, supplemented by experimental data from two-body decays B s → ϕ + resonance states. Our results indicate that the inclusion of twist-5 and twist-6 LCDAs enhances the non-local form factors — by approximately an order of magnitude — compared to previous estimates, due to partial disruption of cancellation among different twist contributions. This leads to a dilepton invariant mass-squared (q 2)-dependent correction to the Wilson coefficient C 9, which is higher than, but still consistent with the Standard Model prediction without the non-factorizable charm-loop corrections within uncertainties. Additionally, we update the local form factors to include contributions from higher-twist three-particle B s -meson LCDAs. The phenomenological implications, particularly for the differential branching fraction and angular observables, are also discussed.
ISSN:1029-8479

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