PoS - Proceedings of Science
Volume 414 - 41st International Conference on High Energy physics (ICHEP2022) - Poster Session
Finite system size correction in $\phi^4$ theory NLO scattering using denominator regularization
J. Du Plessis* and W.A. Horowitz
Full text: pdf
Pre-published on: December 03, 2022
Published on: June 15, 2023
By first motivating the use of the newly developed denominator regularization we show how using it can be used to calculate the $2\to2$ scattering amplitude in a finite sized massive $\phi^4$ theory. We consider a spacetime with periodic boundary conditions and asymmetric sizes of the periodic dimensions. By using denominator regularization we then derive the scattering amplitude which we show is consistent with the optical theorem and infinite volume limit. This showcases one of the strengths of denominator regularization over standard techniques such as dimensional regularization.
DOI: https://doi.org/10.22323/1.414.1206
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