On the Dimensional Regularization of QCD Helicity Amplitudes With Quarks

2018/03/29 by F. R. Anger, Anger, F. R., V. Sotnikov +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1803.11127

openalex publication_date 2018/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study QCD helicity amplitudes with an arbitrary number of (massive) quarks, keeping unobserved (loop) particles in fixed integer D_s dimensions. We find a suitable embedding of external four-dimensional fermion states into higher dimensional spaces. This allows to identify the D_s dependence of amplitudes with external quarks at one and two loops, permitting an analytic continuation in D_s. Explicitly we focus on 't Hooft-Veltman and four-dimensional helicity schemes for which we provide a compact prescription for the computation of one- and two-loop amplitudes amenable for numerical implementation.

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