Subleading power rapidity divergences and power corrections for qT
Name
Ebert2019_Article_SubleadingPowerRapidityDiverge.pdf
Description
Published version
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1.22 MB
Format
Adobe PDF
Checksum (MD5)
ae10b3830ab965ef517264893a564524
Author(s)
Ebert, Markus
Date Issued
April 2019
Journal
Journal of High Energy Physics
Publisher
Springer Science and Business Media LLC
Citation
Ebert, Markus A. et al. “Subleading power rapidity divergences and power corrections for qT.” Journal of High Energy Physics, vol. 123, 2019 © 2019 The Author(s)
Version
Final published version
Abstract
A number of important observables exhibit logarithms in their perturbative description that are induced by emissions at widely separated rapidities. These include transverse-momentum (q T ) logarithms, logarithms involving heavy-quark or electroweak gauge boson masses, and small-x logarithms. In this paper, we initiate the study of rapidity logarithms, and the associated rapidity divergences, at subleading order in the power expansion. This is accomplished using the soft collinear effective theory (SCET). We discuss the structure of subleading-power rapidity divergences and how to consistently regulate them. We introduce a new pure rapidity regulator and a corresponding M S ¯ -like scheme, which handles rapidity divergences while maintaining the homogeneity of the power expansion. We find that power-law rapidity divergences appear at subleading power, which give rise to derivatives of parton distribution functions. As a concrete example, we consider the q T spectrum for color-singlet production, for which we compute the complete q T2 /Q 2 suppressed power corrections at O(a s ) , including both logarithmic and nonlogarithmic terms. Our results also represent an important first step towards carrying out a resummation of subleading-power rapidity logarithms.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
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Creative Commons Attribution 4.0 International license
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DOI of Published Version
https://doi.org/10.1007/JHEP04(2019)123
