Help us make Indico better by taking this survey! Aidez-nous à améliorer Indico en répondant à ce sondage !

12–14 Jun 2024
Bologna
Europe/Zurich timezone

A Geometrical Formalism of Functional Matching

13 Jun 2024, 15:45
15m
Aula Prodi - Complesso di S. Giovanni in Monte (Bologna)

Aula Prodi - Complesso di S. Giovanni in Monte

Bologna

Piazza San Giovanni in Monte 2 Bologna, Italy

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.

Primary author

Xu-Xiang Li (University of Utah)

Co-authors

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

Presentation materials