# Geometry in Scattering Amplitudes

### APA

Helset, A. (2022). Geometry in Scattering Amplitudes. Perimeter Institute. https://pirsa.org/22120056

### MLA

Helset, Andreas. Geometry in Scattering Amplitudes. Perimeter Institute, Dec. 09, 2022, https://pirsa.org/22120056

### BibTex

@misc{ pirsa_22120056, doi = {10.48660/22120056}, url = {https://pirsa.org/22120056}, author = {Helset, Andreas}, keywords = {Particle Physics, Quantum Fields and Strings}, language = {en}, title = {Geometry in Scattering Amplitudes}, publisher = {Perimeter Institute}, year = {2022}, month = {dec}, note = {PIRSA:22120056 see, \url{https://pirsa.org}} }

Andreas Helset California Institute of Technology (Caltech)

**Collection**

**Talk Type**Scientific Series

## Abstract

One central property of the S-matrix is its invariance under field redefinitions. I will discuss how the geometry of field space makes this invariance manifest. This geometric formulation also has practical consequences. Scattering amplitudes and the renormalization group equations for a theory of scalars and gauge bosons only depend on geometric quantities. Also, the scattering amplitudes satisfy a geometric soft theorem.

Zoom link: https://pitp.zoom.us/j/98973018515?pwd=MFJFSGM4RS9KRHFOREFBc1gvWXYwQT09