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12–14 Jun 2024
Bologna
Europe/Zurich timezone

Anomalous Dimensions via on-shell Methods: Operator Mixing and Leading Mass Effects

13 Jun 2024, 10:30
10m
Aula Prodi - Complesso di S. Giovanni in Monte (Bologna)

Aula Prodi - Complesso di S. Giovanni in Monte

Bologna

Piazza San Giovanni in Monte 2 Bologna, Italy

Speaker

Luigi Carlo Bresciani (University & INFN Padova)

Description

We elaborate on the application of on-shell and unitarity-based methods for evaluating renormalization group coefficients, and generalize this framework to account for the mixing of operators with different dimensions and leading mass effects. We derive a master formula for anomalous dimensions stemming from the general structure of operator mixings, up to two-loop order, and show how the Higgs low-energy theorem can be exploited to include leading mass effects. A few applications on the renormalization properties of popular effective field theories showcase the strength of the proposed approach, which drastically reduces the complexity of standard loop calculations. Our results provide a powerful tool to interpret experimental measurements of low-energy observables, such as flavor violating processes or electric and magnetic dipole moments, as induced by new physics emerging above the electroweak scale.

Primary authors

Gabriele Levati (Università degli studi di Padova and INFN Padova) Luigi Carlo Bresciani (University & INFN Padova) Prof. Paride Paradisi (University of Padova and INFN) Pierpaolo Mastrolia (Universita e INFN, Padova (IT))

Presentation materials