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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Main Authors: Thorsten Feldmann, Nico Gubernari
Format: Article
Language:English
Published: SpringerOpen 2024-03-01
Series:Journal of High Energy Physics
Subjects:
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.
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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
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AT nicogubernari nonfactorisablecontributionsofstrongpenguinoperatorsinlbllldecays