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Two-Loop Five-Point One-Mass Amplitudes in the Spinor-Helicity Formalism

2024/09/24 by Giuseppe De Laurentis, De Laurentis, Giuseppe
Earth and Planetary Sciences · Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-pressure geophysics and materials #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2409.15996

openalex publication_date 2024/09/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Processes involving electroweak vector bosons in association with jets are crucial for precision studies of the Standard Model at the Large Hadron Collider. Accurate predictions for the process pp→ V(→ℓℓ)jj at next-to-next-to-leading order (NNLO), as well as N3LO ones for the process with one fewer jet, require two-loop five-point one-mass amplitudes. These exhibit a significant increase in complexity compared to their massless counterparts. We present results for the partonic processes qQ Qqℓℓ and qggqℓℓ, with a forthcoming package for phenomenology. The present recalculation is based on the previous analytic results from ref. [1]. For the first time, we express two-loop five-point one-mass amplitudes in the spinor-helicity formalism. We achieve three orders of magnitude smaller expressions compared to previous results. This will facilitate phenomenological studies and help clarify mathematical properties of the amplitude.

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