Constraints on $2\ell 2q$ operators from $\mu - e$ flavour-changing meson decays

Sacha Davidson (1) , Albert Saporta (2)

1 LUPM - Laboratoire Univers et Particules de Montpellier
2 IPNL - Institut de Physique Nucléaire de Lyon

We study lepton-flavor-violating two- and three-body decays of pseudoscalar mesons in effective field theory. We give analytic formulas for the decay rates in the presence of a complete basis of QED×QCD-invariant operators. The constraints are obtained at the experimental scale, then translated to the weak scale via one-loop renormalization group equations. The large renormalization-group mixing between tensor and (pseudo)scalar operators weakens the constraints on scalar and pseudoscalar operators at the weak scale.

Mots clés: decay rate; flavor changing; higher-order: 1; renormalization group; effective field theory; meson: decay; pseudoscalar meson: decay; lepton: flavor: violation; operator: pseudoscalar; operator: scalar; scale: electroweak interaction; Beyond the standard model

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]

Sacha Davidson, Albert Saporta. Constraints on $2\ell 2q$ operators from $\mu - e$ flavour-changing meson decays. Physical Review D, 2019, 99 (1), pp.015032. ⟨10.1103/PhysRevD.99.015032⟩. ⟨hal-01861994⟩