Threshold factorization of the Drell-Yan quark-gluon channel and two-loop soft function at next-to-leading power
- Author(s)
- Alessandro Broggio, Sebastian Jaskiewicz, Leonardo Vernazza
- Abstract
We present a factorization theorem of the partonic Drell-Yan off-diagonal processes gq¯ (qg) → γ∗+ X in the kinematic threshold regime z= Q2/ ŝ → 1 at general subleading powers in the (1 − z) expansion. Focusing on the first order of the expansion (next-to-leading power accuracy with respect to the leading power qq¯ channel), we validate the bare factorization formula up to O(αs2) . This is achieved by carrying out an explicit calculation of the generalized soft function in d-dimensions using the reduction to master integrals and the differential equations method. The collinear function is a universal object which we compute from an operator matching equation at one-loop level. Next, we integrate the soft and collinear functions over the convolution variables and remove the remaining initial state collinear singularities through PDF renormalization. The resulting expression agrees with the known cross section in the literature.
- Organisation(s)
- Particle Physics
- External organisation(s)
- Università degli Studi di Torino, Durham University, Istituto Nazionale di Fiscia Nucleare (INFN), Sezione di Torino
- Journal
- Journal of High Energy Physics
- Volume
- 2023
- No. of pages
- 42
- ISSN
- 1029-8479
- DOI
- https://doi.org/10.48550/arXiv.2306.06037
- Publication date
- 12-2023
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103012 High energy physics
- Keywords
- ASJC Scopus subject areas
- Nuclear and High Energy Physics
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/threshold-factorization-of-the-drellyan-quarkgluon-channel-and-twoloop-soft-function-at-nexttoleading-power(b83763a5-866e-4a35-82a0-789405914e00).html