Geometric Formulation of Effective Field Theories with Scalars and Fermions

by Andreas Helset (CERN)

Thursday 28 Sept 2023, 13:30 → 14:30 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

The geometry of field space governs on-shell scattering amplitudes. We formulate a geometric description of effective field theories which extends previous results for scalars and gauge fields to fermions. The field-space geometry reorganizes and simplifies the computation of quantum loop corrections. Using this geometric framework, we calculate the fermion loop contributions to the renormalization group equations for bosonic operators in the Standard Model Effective Field Theory up to mass dimension eight. We also derive novel relations between scattering amplitudes in terms of soft theorems.