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Talk27 min

Two-loop running in the SMEFT at dimension-six

Lukas Born · CERN

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About

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..

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The talk

  1. Two-loop running in the SMEFT at dimension-six 2025-12-02 · 27 min · CERN's player

Credits and licence

Institution
CERN
Department
Open meetings
Speaker
Lukas Born
Year
2025
Language
English
Source
CERN
Licence
CERN, as CERN states it. CERN's terms
Attribution
© CERN. CERN provides its audiovisual media free of charge for educational and informational use, credited to CERN; this lecture is shown in CERN's own player.
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