Constraining new physics models from observables in bottom-up EFT

Marco Ardu; Sacha Davidson; Stéphane Lavignac

doi:10.1140/epjc/s10052-024-12782-x

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 458
https://doi.org/10.1140/epjc/s10052-024-12782-x

Regular Article - Theoretical Physics

Constraining new physics models from $μ \to e$ $\mu \rightarrow e$ observables in bottom-up EFT

Marco Ardu¹^,2^a, Sacha Davidson³ and Stéphane Lavignac⁴

¹ Departament de Fısica Teorica, Universitat de Valencia, Dr. Moliner 50, 46100, Burjassot, Spain
² IFIC, Universitat de Valencia and CSIC, 46071, Paterna, Spain
³ LUPM, CNRS, Université Montpellier Place Eugene Bataillon, 34095, Montpellier Cedex 5, France
⁴ Institut de Physique Théorique, Université Paris Saclay, CNRS, CEA, 91191, Gif-sur-Yvette, France

^a marco.ardu@ific.uv.es

Received: 23 January 2024
Accepted: 8 April 2024
Published online: 3 May 2024

Abstract

Upcoming experiments will improve the sensitivity to $μ \to e$ $\mu \rightarrow e$ processes by several orders of magnitude, and could observe lepton flavour-changing contact interactions for the first time. In this paper, we investigate what could be learned about New Physics from the measurements of these $μ \to e$ $\mu \rightarrow e$ observables, using a bottom-up effective field theory (EFT) approach and focusing on three popular models with new particles around the TeV scale (the type II seesaw, the inverse seesaw and a scalar leptoquark). We showed in a previous publication that $μ \to e$ $\mu \rightarrow e$ observables have the ability to rule out these models because none can fill the whole experimentally accessible parameter space. In this work we give more details on our EFT formalism and present more complete results. We discuss the impact of some observables complementary to $μ \to e$ $\mu \rightarrow e$ transitions (such as the neutrino mass scale and ordering, and LFV $τ$ $\tau$ decays) and draw attention to the interesting appearance of Jarlskog-like invariants in our expressions for the low-energy Wilson coefficients.

© The Author(s) 2024

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