Uniting low-energy semileptonic and hadronic anomalies within SMEFT

Abstract Two categories of four-fermion SMEFT operators are semileptonic (two quarks and two leptons) and hadronic (four quarks). At tree level, an operator of a given category contributes only to processes of the same category. However, when the SMEFT Hamiltonian is evolved down from the new-physic...

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Main Authors: Alakabha Datta, Jacky Kumar, Suman Kumbhakar, David London
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
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Online Access:https://doi.org/10.1007/JHEP12(2024)175
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author Alakabha Datta
Jacky Kumar
Suman Kumbhakar
David London
author_facet Alakabha Datta
Jacky Kumar
Suman Kumbhakar
David London
author_sort Alakabha Datta
collection DOAJ
description Abstract Two categories of four-fermion SMEFT operators are semileptonic (two quarks and two leptons) and hadronic (four quarks). At tree level, an operator of a given category contributes only to processes of the same category. However, when the SMEFT Hamiltonian is evolved down from the new-physics scale to low energies using the renormalization-group equations (RGEs), due to operator mixing this same SMEFT operator can generate operators of the other category at one loop. Thus, to search for a SMEFT explanation of a low-energy anomaly, or combination of anomalies, one must: (i) identify the candidate semileptonic and hadronic SMEFT operators, (ii) run them down to low energy with the RGEs, (iii) generate the required low-energy operators with the correct Wilson coefficients, and (iv) check that all other constraints are satisfied. In this paper, we illustrate this method by finding all SMEFT operators that, by themselves, provide a combined explanation of the (semileptonic) b ¯ → s ¯ ℓ + ℓ − $$ \overline{b}\to \overline{s}{\ell}^{+}{\ell}^{-} $$ anomalies and the (hadronic) B → πK puzzle.
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spelling doaj-art-56ba40a7d06d472d9bbedacd36e652d22025-01-05T12:06:48ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212710.1007/JHEP12(2024)175Uniting low-energy semileptonic and hadronic anomalies within SMEFTAlakabha Datta0Jacky Kumar1Suman Kumbhakar2David London3Department of Physics and Astronomy, University of MississippiTheoretical Division, Los Alamos National LaboratoryPhysique des Particules, Université de MontréalPhysique des Particules, Université de MontréalAbstract Two categories of four-fermion SMEFT operators are semileptonic (two quarks and two leptons) and hadronic (four quarks). At tree level, an operator of a given category contributes only to processes of the same category. However, when the SMEFT Hamiltonian is evolved down from the new-physics scale to low energies using the renormalization-group equations (RGEs), due to operator mixing this same SMEFT operator can generate operators of the other category at one loop. Thus, to search for a SMEFT explanation of a low-energy anomaly, or combination of anomalies, one must: (i) identify the candidate semileptonic and hadronic SMEFT operators, (ii) run them down to low energy with the RGEs, (iii) generate the required low-energy operators with the correct Wilson coefficients, and (iv) check that all other constraints are satisfied. In this paper, we illustrate this method by finding all SMEFT operators that, by themselves, provide a combined explanation of the (semileptonic) b ¯ → s ¯ ℓ + ℓ − $$ \overline{b}\to \overline{s}{\ell}^{+}{\ell}^{-} $$ anomalies and the (hadronic) B → πK puzzle.https://doi.org/10.1007/JHEP12(2024)175Rare DecaysSemi-Leptonic DecaysSMEFT
spellingShingle Alakabha Datta
Jacky Kumar
Suman Kumbhakar
David London
Uniting low-energy semileptonic and hadronic anomalies within SMEFT
Journal of High Energy Physics
Rare Decays
Semi-Leptonic Decays
SMEFT
title Uniting low-energy semileptonic and hadronic anomalies within SMEFT
title_full Uniting low-energy semileptonic and hadronic anomalies within SMEFT
title_fullStr Uniting low-energy semileptonic and hadronic anomalies within SMEFT
title_full_unstemmed Uniting low-energy semileptonic and hadronic anomalies within SMEFT
title_short Uniting low-energy semileptonic and hadronic anomalies within SMEFT
title_sort uniting low energy semileptonic and hadronic anomalies within smeft
topic Rare Decays
Semi-Leptonic Decays
SMEFT
url https://doi.org/10.1007/JHEP12(2024)175
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AT jackykumar unitinglowenergysemileptonicandhadronicanomalieswithinsmeft
AT sumankumbhakar unitinglowenergysemileptonicandhadronicanomalieswithinsmeft
AT davidlondon unitinglowenergysemileptonicandhadronicanomalieswithinsmeft