Details

Autor(en) / Beteiligte

• Arkani-Hamed, Nima
• Flieger, Wojciech
• Henn, Johannes M.
• Schreiber, Anders
• Trnka, Jaroslav

Titel

Coulomb Branch Amplitudes from a Deformed Amplituhedron Geometry

Ist Teil von

• Physical review letters, 2024-05, Vol.132 (21), p.211601-211601, Article 211601

Ort / Verlag

United States: American Physical Society

Erscheinungsjahr

2024

Quelle

American Physical Society Journals

Beschreibungen/Notizen

• 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, which can be interpreted as particle masses. We provide evidence that the mass pattern corresponds to a specific choice of vacuum expectation values on the Coulomb branch. 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. Published by the American Physical Society 2024