Finite Scattering Amplitudes From Geometry

Date

2023/7/12(Wed)13:30〜15:00

Venue

Hybrid (On-site: Seminar room 321, 322. Online: Zoom)  

Speaker

Prof. Johannes Henn (Max-Planck-Institute for Physics)

Language

English

URL

Contact

Kohtaroh MIURA / kohmiura-AT-post.kek.jp


Overview

Scattering amplitudes are key ingredients for cross sections relevant to collider physics. In the last decade, novel geometric ideas have emerged that hint at a completely different formulation of quantum field theory.
For example, the Amplituhedron provides, via geometric means, the all- loop integrand of planar scattering amplitudes in maximally supersymmetric Yang-Mills theory. Unfortunately, dimensional regularization, used conventionally for integration, breaks the beautiful geometric picture. This motivates us in this talk to propose a ‘deformed’ Amplituhedron, which is well-defined in four dimensions.
Leveraging four-dimensional integration techniques based on differential equations, we compute the four-particle amplitude up to two loops, as a function of the two deformation parameters. The latter can be interpreted as certain mass and energy variables. We observe simple behaviour in various physical limits of the parameters.

Release date 2023/06/28 Updated 2024/03/02