Non-factorisable contributions of strong-penguin operators in Λ b → Λℓ + ℓ − decays
Abstract We investigate for the first time a certain class of non-factorisable contributions of the four-quark operators O $$ \mathcal{O} $$ 3−6 in the weak effective Hamiltonian to the Λ b → Λℓ + ℓ − decay amplitude. We focus on the case where a virtual photon is radiated from one of the light cons...
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Format: | Article |
Language: | English |
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SpringerOpen
2024-03-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP03(2024)152 |
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author | Thorsten Feldmann Nico Gubernari |
author_facet | Thorsten Feldmann Nico Gubernari |
author_sort | Thorsten Feldmann |
collection | DOAJ |
description | Abstract We investigate for the first time a certain class of non-factorisable contributions of the four-quark operators O $$ \mathcal{O} $$ 3−6 in the weak effective Hamiltonian to the Λ b → Λℓ + ℓ − decay amplitude. We focus on the case where a virtual photon is radiated from one of the light constituents of the Λ b baryon, in the kinematic situation of large hadronic recoil with an energetic Λ baryon in the final state. The effect on the suitably defined “non-local form factors” is calculated using the light-cone sum rule approach for a correlator with an interpolating current for the light Λ baryon. We find that this approach requires the introduction of new soft functions that generalise the standard light-cone distribution amplitudes (LCDAs) for the heavy Λ b baryon. We give a heuristic discussion of their properties and a model that relates them to the standard LCDAs. Within this framework, we provide numerical results for the size of the non-local form factors considered. |
first_indexed | 2024-04-24T16:22:33Z |
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id | doaj.art-97f747ff13814f1498b0b832d03ef545 |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-24T16:22:33Z |
publishDate | 2024-03-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-97f747ff13814f1498b0b832d03ef5452024-03-31T11:08:59ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024312710.1007/JHEP03(2024)152Non-factorisable contributions of strong-penguin operators in Λ b → Λℓ + ℓ − decaysThorsten Feldmann0Nico Gubernari1Theoretische Physik 1, Center for Particle Physics Siegen, Universität SiegenTheoretische Physik 1, Center for Particle Physics Siegen, Universität SiegenAbstract We investigate for the first time a certain class of non-factorisable contributions of the four-quark operators O $$ \mathcal{O} $$ 3−6 in the weak effective Hamiltonian to the Λ b → Λℓ + ℓ − decay amplitude. We focus on the case where a virtual photon is radiated from one of the light constituents of the Λ b baryon, in the kinematic situation of large hadronic recoil with an energetic Λ baryon in the final state. The effect on the suitably defined “non-local form factors” is calculated using the light-cone sum rule approach for a correlator with an interpolating current for the light Λ baryon. We find that this approach requires the introduction of new soft functions that generalise the standard light-cone distribution amplitudes (LCDAs) for the heavy Λ b baryon. We give a heuristic discussion of their properties and a model that relates them to the standard LCDAs. Within this framework, we provide numerical results for the size of the non-local form factors considered.https://doi.org/10.1007/JHEP03(2024)152Rare DecaysSpecific QCD Phenomenology |
spellingShingle | Thorsten Feldmann Nico Gubernari Non-factorisable contributions of strong-penguin operators in Λ b → Λℓ + ℓ − decays Journal of High Energy Physics Rare Decays Specific QCD Phenomenology |
title | Non-factorisable contributions of strong-penguin operators in Λ b → Λℓ + ℓ − decays |
title_full | Non-factorisable contributions of strong-penguin operators in Λ b → Λℓ + ℓ − decays |
title_fullStr | Non-factorisable contributions of strong-penguin operators in Λ b → Λℓ + ℓ − decays |
title_full_unstemmed | Non-factorisable contributions of strong-penguin operators in Λ b → Λℓ + ℓ − decays |
title_short | Non-factorisable contributions of strong-penguin operators in Λ b → Λℓ + ℓ − decays |
title_sort | non factorisable contributions of strong penguin operators in λ b λl l decays |
topic | Rare Decays Specific QCD Phenomenology |
url | https://doi.org/10.1007/JHEP03(2024)152 |
work_keys_str_mv | AT thorstenfeldmann nonfactorisablecontributionsofstrongpenguinoperatorsinlbllldecays AT nicogubernari nonfactorisablecontributionsofstrongpenguinoperatorsinlbllldecays |