Regular Article - Theoretical Physics
RGE effects on the LFV scale from meson decays
Universidad Técnica Federico Santa María, Departamento de Física, Casilla 110-V, Valparaíso, Chile
2 Centro Científico-Tecnológico de Valparaíso, Casilla 110-V, Valparaíso, Chile
3 Departamento de Ciencias Físicas, Universidad Andres Bello, Sazié 2212, Piso 7, Santiago, Chile
4 Millennium Institute for Subatomic Physics at High-Energy Frontier (SAPHIR), Fernández Concha 700, Santiago, Chile
5 Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7D, Arica, Chile
Accepted: 13 March 2022
Published online: 8 April 2022
We consider the lepton-flavor violating (LFV) lepton-quark dimension-6 operators and analyze their contributions to the LFV leptonic decays of vector, pseudoscalar, and scalar neutral mesons as well as to decays. These operators contribute to the purely leptonic processes via quark loop. On the basis of quark-hadron duality, we relate these loops to the appropriate meson-exchange contributions. In this way, we extract lower bounds on the individual scales of the studied LFV operators from the experimental and phenomenological limits on the leptonic decays of mesons and leptons. As a byproduct, we shall obtain new limits on the LFV leptonic decays of flavored mesons from the experimental bounds on the three-body lepton decays. We study the effects of QED and QCD radiative corrections to the LFV lepton-quark operators in question. We derive for them the one-loop matrix of the RGE evolution and examine its effect on the previously derived tree-level limits on these operators. We show that the QED corrections are particularly relevant due to operator mixing. Specifically, for some of them the limits on their individual LFV scales improve by up to 3 orders of magnitude.
© The Author(s) 2022
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