Geometry and energy in EFT
by
301-20
Tate
I will present a geometric framework for EFTs that extends the notion of field-space covariance to include scalars, gauge bosons, and fermions. This approach simplifies both tree-level and quantum corrections by encoding amplitudes and one-loop divergences as geometric invariants of a field-space supermanifold. Using this formalism, we compute renormalization group equations for bosonic and fermionic operators in the SMEFT, including complete fermion-loop contributions up to dimension eight. I will also discuss a complementary EFT organization based on energy scaling and vertex structure, enabling a systematic identification of energy-enhanced operators up to dimension ten. This dual expansion in vev and kinematics provides practical guidance for SMEFT analyses at the HL-LHC by isolating the operators most relevant for high-energy searches.
ZL