Finite Scattering Amplitudes From Geometry

開催日時

2023/7/12(水)13:30〜15:00

開催場所

ハイブリッド形式 : オンライン (Zoom) + セミナールーム(研究本館322)

講演者

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

言語

English

詳細ページ

お問い合わせ

三浦光太郎/kohmiura-AT-post.kek.jp 


概要

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.