Factorization and resummation of Higgs boson differential distributions in soft-collinear effective theory

Journal Article · Sat May 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.81.093007· OSTI ID:21409923

Mantry, Sonny; Petriello, Frank ^[1]

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1. University of Wisconsin, Madison, Wisconsin 53706 (United States)

We derive a factorization theorem for the Higgs boson transverse momentum (p{sub T}) and rapidity (Y) distributions at hadron colliders, using the soft-collinear effective theory (SCET), for m{sub h}>>p{sub T}>>{Lambda}{sub QCD}, where m{sub h} denotes the Higgs mass. In addition to the factorization of the various scales involved, the perturbative physics at the p{sub T} scale is further factorized into two collinear impact-parameter beam functions (IBFs) and an inverse soft function (ISF). These newly defined functions are of a universal nature for the study of differential distributions at hadron colliders. The additional factorization of the p{sub T}-scale physics simplifies the implementation of higher order radiative corrections in {alpha}{sub s}(p{sub T}). We derive formulas for factorization in both momentum and impact parameter space and discuss the relationship between them. Large logarithms of the relevant scales in the problem are summed using the renormalization group equations of the effective theories. Power corrections to the factorization theorem in p{sub T}/m{sub h} and {Lambda}{sub QCD}/p{sub T} can be systematically derived. We perform multiple consistency checks on our factorization theorem including a comparison with known fixed-order QCD results. We compare the SCET factorization theorem with the Collins-Soper-Sterman approach to low-p{sub T} resummation.

• OSTI ID: 21409923
• Journal Information: Physical Review. D, Particles Fields, Vol. 81, Issue 9; Other Information: DOI: 10.1103/PhysRevD.81.093007; (c) 2010 The American Physical Society; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BEAMS
COMPARATIVE EVALUATIONS
DISTRIBUTION
FACTORIZATION
HADRONS
HIGGS BOSONS
HIGGS MODEL
IMPACT PARAMETER
MASS
PARTICLE RAPIDITY
QUANTUM CHROMODYNAMICS
RADIATIVE CORRECTIONS
RENORMALIZATION
TRANSVERSE MOMENTUM
BOSONS
CORRECTIONS
ELEMENTARY PARTICLES
EVALUATION
FIELD THEORIES
LINEAR MOMENTUM
MATHEMATICAL MODELS
PARTICLE MODELS
PARTICLE PROPERTIES
POSTULATED PARTICLES
QUANTUM FIELD THEORY