Surfaceology for colored Yukawa theory

Journal Article · 23 September 2024 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep09(2024)160 · OSTI ID:2447602

De, Shounak  ^[1]; Pokraka, Andrzej  ^[2]; Skowronek, Marcos  ^[2]; Spradlin, Marcus  ^[3]; Volovich, Anastasia  ^[3]

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1. Brown University, Providence, RI (United States); Brown Univeristy
2. Brown University, Providence, RI (United States)
3. Brown University, Providence, RI (United States); Harvard University, Cambridge, MA (United States)

Arkani-Hamed and collaborators have recently shown that scattering amplitudes for colored theories can be expressed as integrals over combinatorial objects simply constructed from surfaces decorated by kinematic data. In this paper we extend the curve integral formalism to theories with colored fermionic matter and present a compact formula for the all-loop, all-genus, all-multiplicity amplitude integrand of a colored Yukawa theory. The curve integral formalism makes certain properties of the amplitudes manifest and repackages non-trivial numerators into a single combinatorial object. We also present an efficient formula for L-loop integrated amplitudes in terms of a sum over 2^L combinatorial determinants.

• Research Organization: Brown University, Providence, RI (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0010010
• OSTI ID: 2447602
• Journal Information: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 9 Vol. 2024; ISSN 1029-8479
• Publisher: Springer NatureCopyright Statement
• Country of Publication: United States
• Language: English