Speaker
Description
The Amplituhedron provides, via geometric means, the all-loop integrand of scattering amplitudes in maximally supersymmetric Yang-Mills theory. Unfortunately, dimensional regularization, used conventionally for integration, breaks the beautiful geometric picture. This motivates us to propose a `deformed' Amplituhedron. Focusing on the four-particle amplitude, we introduce two deformation parameters. The deformed amplitude is infrared finite, making the answer well-defined in four dimensions. Leveraging four-dimensional integration techniques based on differential equations, we compute the amplitude up to two loops. In the limit where the deformation parameters are taken to zero, we recover the known Bern-Dixon-Smirnov amplitude.
In the limit where only one deformation parameter is taken to zero, we find a connection to the angle-dependent cusp anomalous dimension.
