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Photon-Photon Scattering in Very Special Relativity

2020/01/31 by Jorge Alfaro, Alfaro, Jorge, Alex Soto +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.2001.12003

9 pages, 2 figures

arxiv created 2020/01/31 · openalex publication_date 2020/01/31 · arxiv updated 2020/02/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Starting from the Mandelstam-Leibbrandt prescription, we introduce a general rule for the null vector n to compute any SIM(2) integral and diagram with an arbitrary number of external legs. Using the new prescription, the computation of the low energy limit of photon-photon scattering under the Very Special Relativity (VSR) framework is presented. The prescription preserves automatically the Ward identities corresponding to the gauge symmetry. Within the low momentum approximation we get the standard unpolarized differential cross section for photon-photon scattering. The result suggests that loops with any external photon legs on-shell will be zero in VSR.

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