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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| Language: | English |
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2025-07-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP07(2025)068 |
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| author | M. S. A. Alam Khan Rusa Mandal Praveen S Patil Ipsita Ray |
| author_facet | M. S. A. Alam Khan Rusa Mandal Praveen S Patil Ipsita Ray |
| author_sort | M. S. A. Alam Khan |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9d2baa7fede3447d8b5f1a577135b92c |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-9d2baa7fede3447d8b5f1a577135b92c2025-08-20T04:01:42ZengSpringerOpenJournal of High Energy Physics1029-84792025-07-012025713510.1007/JHEP07(2025)068Investigating non-local contributions in B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ including higher-twist effectsM. S. A. Alam Khan0Rusa Mandal1Praveen S Patil2Ipsita Ray3Department of Physics, Indian Institute of Technology GandhinagarDepartment of Physics, Indian Institute of Technology GandhinagarDepartment of Physics, Indian Institute of Technology GandhinagarPhysique des Particules, Université de MontréalAbstract 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.https://doi.org/10.1007/JHEP07(2025)068Bottom QuarksRare DecaysSemi-Leptonic Decays |
| spellingShingle | M. S. A. Alam Khan Rusa Mandal Praveen S Patil Ipsita Ray Investigating non-local contributions in B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ including higher-twist effects Journal of High Energy Physics Bottom Quarks Rare Decays Semi-Leptonic Decays |
| title | Investigating non-local contributions in B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ including higher-twist effects |
| title_full | Investigating non-local contributions in B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ including higher-twist effects |
| title_fullStr | Investigating non-local contributions in B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ including higher-twist effects |
| title_full_unstemmed | Investigating non-local contributions in B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ including higher-twist effects |
| title_short | Investigating non-local contributions in B s → ϕ ℓ ¯ ℓ $$ {B}_s\to \phi \overline{\ell}\ell $$ including higher-twist effects |
| title_sort | investigating non local contributions in b s ϕ l ¯ l b s to phi overline ell ell including higher twist effects |
| topic | Bottom Quarks Rare Decays Semi-Leptonic Decays |
| url | https://doi.org/10.1007/JHEP07(2025)068 |
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