Flavor violating leptonic decays of $$\tau $$ τ and $$\mu $$ μ leptons in the Standard Model with massive neutrinos

Abstract We have revisited the computations of the flavor violating leptonic decays of the $$\tau $$ τ and $$\mu $$ μ leptons into three lighter charged leptons in the Standard Model with massive neutrinos. We were driven by a claimed unnaturally large branching ratio predicted for the $$\tau ^-\rig...

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Main Authors: G. Hernández-Tomé, G. López Castro, P. Roig
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-6563-4
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author G. Hernández-Tomé
G. López Castro
P. Roig
author_facet G. Hernández-Tomé
G. López Castro
P. Roig
author_sort G. Hernández-Tomé
collection DOAJ
description Abstract We have revisited the computations of the flavor violating leptonic decays of the $$\tau $$ τ and $$\mu $$ μ leptons into three lighter charged leptons in the Standard Model with massive neutrinos. We were driven by a claimed unnaturally large branching ratio predicted for the $$\tau ^-\rightarrow \mu ^- \ell ^+ \ell ^-$$ τ-→μ-ℓ+ℓ- ($$\ell =\mu , e$$ ℓ=μ,e ) decays (Pham, Eur Phys J C 8:513 1999), which was at odds with the corresponding predictions for the $$\mu ^-\rightarrow e^- e^-e^+$$ μ-→e-e-e+ processes (Petcov, Sov J Nucl Phys 25:340 1977). In contrast with the prediction in [17], our results are strongly suppressed and in good agreement with the approximation made in Ref. [15], where masses and momenta of the external particles were neglected in order to deal with the loop integrals. However -as a result of keeping external momenta and masses in the computation of the dominant penguin and box diagrams- we even find slightly smaller branching fractions. Therefore, we confirm that any future observation of such processes would be an unambiguous manifestation of new physics beyond the Standard Model.
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spelling doaj.art-576b6173c8d44cf0a9662ef1f5e6b4f42022-12-21T20:25:55ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-01-0179111610.1140/epjc/s10052-019-6563-4Flavor violating leptonic decays of $$\tau $$ τ and $$\mu $$ μ leptons in the Standard Model with massive neutrinosG. Hernández-Tomé0G. López Castro1P. Roig2Departamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalDepartamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalDepartamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico NacionalAbstract We have revisited the computations of the flavor violating leptonic decays of the $$\tau $$ τ and $$\mu $$ μ leptons into three lighter charged leptons in the Standard Model with massive neutrinos. We were driven by a claimed unnaturally large branching ratio predicted for the $$\tau ^-\rightarrow \mu ^- \ell ^+ \ell ^-$$ τ-→μ-ℓ+ℓ- ($$\ell =\mu , e$$ ℓ=μ,e ) decays (Pham, Eur Phys J C 8:513 1999), which was at odds with the corresponding predictions for the $$\mu ^-\rightarrow e^- e^-e^+$$ μ-→e-e-e+ processes (Petcov, Sov J Nucl Phys 25:340 1977). In contrast with the prediction in [17], our results are strongly suppressed and in good agreement with the approximation made in Ref. [15], where masses and momenta of the external particles were neglected in order to deal with the loop integrals. However -as a result of keeping external momenta and masses in the computation of the dominant penguin and box diagrams- we even find slightly smaller branching fractions. Therefore, we confirm that any future observation of such processes would be an unambiguous manifestation of new physics beyond the Standard Model.http://link.springer.com/article/10.1140/epjc/s10052-019-6563-4
spellingShingle G. Hernández-Tomé
G. López Castro
P. Roig
Flavor violating leptonic decays of $$\tau $$ τ and $$\mu $$ μ leptons in the Standard Model with massive neutrinos
European Physical Journal C: Particles and Fields
title Flavor violating leptonic decays of $$\tau $$ τ and $$\mu $$ μ leptons in the Standard Model with massive neutrinos
title_full Flavor violating leptonic decays of $$\tau $$ τ and $$\mu $$ μ leptons in the Standard Model with massive neutrinos
title_fullStr Flavor violating leptonic decays of $$\tau $$ τ and $$\mu $$ μ leptons in the Standard Model with massive neutrinos
title_full_unstemmed Flavor violating leptonic decays of $$\tau $$ τ and $$\mu $$ μ leptons in the Standard Model with massive neutrinos
title_short Flavor violating leptonic decays of $$\tau $$ τ and $$\mu $$ μ leptons in the Standard Model with massive neutrinos
title_sort flavor violating leptonic decays of tau τ and mu μ leptons in the standard model with massive neutrinos
url http://link.springer.com/article/10.1140/epjc/s10052-019-6563-4
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AT proig flavorviolatingleptonicdecaysoftautandmumleptonsinthestandardmodelwithmassiveneutrinos