Threshold factorization of the Drell-Yan quark-gluon channel and two-loop soft function at next-to-leading power

Autor(en)

Alessandro Broggio, Sebastian Jaskiewicz, Leonardo Vernazza

Abstrakt

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(en)

Teilchenphysik

Externe Organisation(en)

Università degli Studi di Torino, Durham University, Istituto Nazionale di Fiscia Nucleare (INFN), Sezione di Torino

Journal

Journal of High Energy Physics

Band

2023

Anzahl der Seiten

42

ISSN

1029-8479

DOI

https://doi.org/10.48550/arXiv.2306.06037

Publikationsdatum

12-2023

Peer-reviewed

Ja

ÖFOS 2012

103012 Hochenergiephysik

Schlagwörter

ASJC Scopus Sachgebiete

Nuclear and High Energy Physics

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/threshold-factorization-of-the-drellyan-quarkgluon-channel-and-twoloop-soft-function-at-nexttoleading-power(b83763a5-866e-4a35-82a0-789405914e00).html