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Title: Exclusive soft function for Drell-Yan at next-to-next-to-leading order

Abstract

We present next-to-next-to-leading-order (NNLO) results for an exclusive soft function that appears in a recently developed factorization theorem for transverse momentum distributions. The factorization theorem, derived using the Soft Collinear Effective Theory, involves both a soft function and unintegrated nucleon distribution functions fully differential in momentum coordinates. The soft function is given by the vacuum matrix element of soft Wilson lines and is also fully differential in all components. We give results and relevant technical details for the NNLO calculation of the soft function, including finite parts, and derive the corresponding anomalous dimension. These results are necessary for achieving low transverse momentum resummation at next-to-next-to-leading-logarithmic accuracy in this effective field theory approach with unintegrated distribution functions.

Authors:
 [1];  [2];  [1]
  1. Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208 (United States)
  2. University of Wisconsin, Madison, Wisconsin, 53706 (United States)
Publication Date:
OSTI Identifier:
21608020
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 84; Journal Issue: 9; Other Information: DOI: 10.1103/PhysRevD.84.094014; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACCURACY; ANOMALOUS DIMENSION; DISTRIBUTION FUNCTIONS; DRELL MODEL; FACTORIZATION; FIELD THEORIES; MATRIX ELEMENTS; NUCLEONS; TRANSVERSE MOMENTUM; WILSON LOOP; BARYONS; ELEMENTARY PARTICLES; FERMIONS; FUNCTIONS; HADRONS; LINEAR MOMENTUM; SCALE DIMENSION

Citation Formats

Ye, Li, Mantry, Sonny, Petriello, Frank, and High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439. Exclusive soft function for Drell-Yan at next-to-next-to-leading order. United States: N. p., 2011. Web. doi:10.1103/PHYSREVD.84.094014.
Ye, Li, Mantry, Sonny, Petriello, Frank, & High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439. Exclusive soft function for Drell-Yan at next-to-next-to-leading order. United States. https://doi.org/10.1103/PHYSREVD.84.094014
Ye, Li, Mantry, Sonny, Petriello, Frank, and High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439. 2011. "Exclusive soft function for Drell-Yan at next-to-next-to-leading order". United States. https://doi.org/10.1103/PHYSREVD.84.094014.
@article{osti_21608020,
title = {Exclusive soft function for Drell-Yan at next-to-next-to-leading order},
author = {Ye, Li and Mantry, Sonny and Petriello, Frank and High Energy Physics Division, Argonne National Laboratory, Argonne, Illinois 60439},
abstractNote = {We present next-to-next-to-leading-order (NNLO) results for an exclusive soft function that appears in a recently developed factorization theorem for transverse momentum distributions. The factorization theorem, derived using the Soft Collinear Effective Theory, involves both a soft function and unintegrated nucleon distribution functions fully differential in momentum coordinates. The soft function is given by the vacuum matrix element of soft Wilson lines and is also fully differential in all components. We give results and relevant technical details for the NNLO calculation of the soft function, including finite parts, and derive the corresponding anomalous dimension. These results are necessary for achieving low transverse momentum resummation at next-to-next-to-leading-logarithmic accuracy in this effective field theory approach with unintegrated distribution functions.},
doi = {10.1103/PHYSREVD.84.094014},
url = {https://www.osti.gov/biblio/21608020}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 9,
volume = 84,
place = {United States},
year = {Tue Nov 01 00:00:00 EDT 2011},
month = {Tue Nov 01 00:00:00 EDT 2011}
}