1–3 Dec 2025
CERN
Europe/Zurich timezone

Two-loop running in the SMEFT at dimension-six

2 Dec 2025, 09:50
20m
4/3-006 - TH Conference Room (CERN)

4/3-006 - TH Conference Room

CERN

110
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Speaker

Lukas Born

Description

The Standard Model Effective Field Theory (SMEFT) provides a powerful framework for parameterizing potential new physics in a model-independent way. To analyze data from experiments across different energy scales and to reliably extrapolate ultraviolet (UV) physics effects, it is crucial to know the renormalization group evolution (RGE) of SMEFT operators.

In this talk, I will present the complete set of two-loop SMEFT $\beta$-functions up to dimension-six in the baryon number-conserving sector, calculated with an anti-commuting $\gamma_{5}$, and discuss the methods used to compute them as well as the challenges encountered in this process. In particular, $\gamma_5$-odd traces involving six or more ordinary $\gamma$-matrices require special care, since cyclicity is lost. This subtlety can lead to potentially inconsistent results, which I will discuss in detail.

Our results provide the first complete two-loop SMEFT running up to dimension-six in the baryon number-conserving sector, representing a key ingredient for next-to-leading order (NLO) SMEFT analyses. They enable precision studies of new physics across energy scales and thus significantly extend the SMEFT toolkit available for phenomenological applications.

Will this talk be in person or remote? In person

Authors

Anders Eller Thomsen (University of Bern) Javier Fuentes-Martin (Universidad de Granada) Lukas Born

Presentation materials