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Updated: Jun 21, 2025

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Next-to-Next-to-Leading Order QCD Corrections to Semi-Inclusive Deep-Inelastic Scattering
Saurav Goyal1,2, Sven-Olaf Moch3, Vaibhav Pathak1,2
1<a href="https://ror.org/05078rg59">The Institute of Mathematical Sciences</a>, A CI of Homi Bhabha National Institute, Taramani, 600113 Chennai, India.
Abstract:
We present the first results for the next-to-next-to leading order (NNLO) corrections to the semi-inclusive deep-inelastic scattering process in perturbative quantum chromodynamics. We consider the quark initiated flavor nonsinglet process and obtain the complete contributions analytically at leading color. All relevant virtual and real emission Feynman diagrams have been computed using integration-by-parts reduction to master integrals and two approaches for their subsequent evaluation (parametric phase-space integration and method of differential equations). The numerical analysis demonstrates the significance of the NNLO corrections and their great impact on the reduction of the residual scale dependence.
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