Exponentiation of soft quark effects from the replica trick

Journal article

In this paper, we show that multiple maximally soft (anti-)quark and gluon emissions exponentiate at the level of either the amplitude or cross-section. We first show that such emissions can be captured by introducing new soft emission operators, which serve to generalise the well-known Wilson lines describing emissions of maximally soft gluons. Next, we prove that vacuum expectation values of these operators exponentiate using the replica trick, a statistical-physics argument that has previously been used to demonstrate soft-gluon exponentiation properties in QCD. The obtained results are general, i.e. not tied to a particular scattering process. We illustrate our arguments by demonstrating the exponentiation of certain real and virtual corrections affecting subleading partonic channels in deep-inelastic scattering.

Authors: van Beekveld, M; Vernazza, L; White, CD

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Springer
• Journal: Journal of High Energy Physics
• Volume: 2024
• Issue: 7
• Article number: 109
• Publication date: 2024-07-11
• Acceptance date: 2024-06-17
• DOI: 10.1007/jhep07(2024)109
• EISSN: 1029-8479
• Language: English
• Keywords: Resummation; Higher-Order Perturbative Calculations