2023
07/12
OPEN
Date
2023/07/12（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.