13–17 May 2024
University of Pittsburgh / Carnegie Mellon University
US/Eastern timezone

A Geometrical Formalism of Functional Matching

13 May 2024, 17:00
15m
David Lawrence Hall 107 (University of Pittsburgh)

David Lawrence Hall 107

University of Pittsburgh

Electroweak & Higgs Physics Electroweak & Higgs Physics

Speaker

Xu-Xiang Li (University of Utah)

Description

Field space geometry has been fruitful in understanding many aspects of EFT, including basis-independent criteria for distinguishing HEFT vs. SMEFT, reorganization of scattering amplitudes in covariant form, derivation of renormalization group equations and geometric soft theorem. We incorporate field space geometry in functional matching by dividing the field space into light and heavy subspaces. A modified covariant derivative expansion method is proposed to calculate the functional traces while accommodating the covariance of the light subspace geometry. We apply this formalism to the non-linear sigma model and reproduce the effective theory more efficiently compared to other matching methods.

Author

Xu-Xiang Li (University of Utah)

Co-authors

Xiaochuan Lu (University of California, San Diego) Zhengkang Zhang (University of Utah)

Presentation materials