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

Journal Article · Tue Nov 01 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.094014· OSTI ID:21608020

Ye, Li ^[1]; Mantry, Sonny ^[2]; Petriello, Frank ^[1]

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1. Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208 (United States)
2. University of Wisconsin, Madison, Wisconsin, 53706 (United States)

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.

• OSTI ID: 21608020
• Journal Information: Physical Review. D, Particles Fields, Vol. 84, Issue 9; Other Information: DOI: 10.1103/PhysRevD.84.094014; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

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