Deep inelastic scattering near the endpoint in soft-collinear effective theory

Junegone Chay, Chul Kim

Research output: Contribution to journalArticle

24 Citations (Scopus)

Abstract

We apply the soft-collinear effective theory to deep inelastic scattering near the endpoint region. The forward scattering amplitude and the structure functions are shown to factorize as a convolution of the Wilson coefficients, the jet functions, and the parton distribution functions. The behavior of the parton distribution functions near the endpoint region is considered. It turns out that it evolves with the Altarelli-Parisi kernel even in the endpoint region, and the parton distribution function can be factorized further into a collinear part and the soft Wilson line. The factorized form for the structure functions is obtained by the two-step matching, and the radiative corrections or the evolution for each factorized part can be computed in perturbation theory. We present the radiative corrections of each factorized part to leading order in αs, including the zero-bin subtraction for the collinear part.

Original languageEnglish
Article number016003
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume75
Issue number1
DOIs
Publication statusPublished - 2007 Jan 29

Fingerprint

Collinear
partons
Distribution Function
inelastic scattering
distribution functions
Scattering
Structure-function
Factorise
Scattering Amplitude
forward scattering
Subtraction
convolution integrals
subtraction
scattering amplitude
Perturbation Theory
Convolution
perturbation theory
kernel
Line
Zero

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Deep inelastic scattering near the endpoint in soft-collinear effective theory. / Chay, Junegone; Kim, Chul.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 75, No. 1, 016003, 29.01.2007.

Research output: Contribution to journalArticle

@article{2c92ef53d04245efafc52335a8c69b70,
title = "Deep inelastic scattering near the endpoint in soft-collinear effective theory",
abstract = "We apply the soft-collinear effective theory to deep inelastic scattering near the endpoint region. The forward scattering amplitude and the structure functions are shown to factorize as a convolution of the Wilson coefficients, the jet functions, and the parton distribution functions. The behavior of the parton distribution functions near the endpoint region is considered. It turns out that it evolves with the Altarelli-Parisi kernel even in the endpoint region, and the parton distribution function can be factorized further into a collinear part and the soft Wilson line. The factorized form for the structure functions is obtained by the two-step matching, and the radiative corrections or the evolution for each factorized part can be computed in perturbation theory. We present the radiative corrections of each factorized part to leading order in αs, including the zero-bin subtraction for the collinear part.",
author = "Junegone Chay and Chul Kim",
year = "2007",
month = "1",
day = "29",
doi = "10.1103/PhysRevD.75.016003",
language = "English",
volume = "75",
journal = "Physical review D: Particles and fields",
issn = "0556-2821",
publisher = "American Institute of Physics Publising LLC",
number = "1",

}

TY - JOUR

T1 - Deep inelastic scattering near the endpoint in soft-collinear effective theory

AU - Chay, Junegone

AU - Kim, Chul

PY - 2007/1/29

Y1 - 2007/1/29

N2 - We apply the soft-collinear effective theory to deep inelastic scattering near the endpoint region. The forward scattering amplitude and the structure functions are shown to factorize as a convolution of the Wilson coefficients, the jet functions, and the parton distribution functions. The behavior of the parton distribution functions near the endpoint region is considered. It turns out that it evolves with the Altarelli-Parisi kernel even in the endpoint region, and the parton distribution function can be factorized further into a collinear part and the soft Wilson line. The factorized form for the structure functions is obtained by the two-step matching, and the radiative corrections or the evolution for each factorized part can be computed in perturbation theory. We present the radiative corrections of each factorized part to leading order in αs, including the zero-bin subtraction for the collinear part.

AB - We apply the soft-collinear effective theory to deep inelastic scattering near the endpoint region. The forward scattering amplitude and the structure functions are shown to factorize as a convolution of the Wilson coefficients, the jet functions, and the parton distribution functions. The behavior of the parton distribution functions near the endpoint region is considered. It turns out that it evolves with the Altarelli-Parisi kernel even in the endpoint region, and the parton distribution function can be factorized further into a collinear part and the soft Wilson line. The factorized form for the structure functions is obtained by the two-step matching, and the radiative corrections or the evolution for each factorized part can be computed in perturbation theory. We present the radiative corrections of each factorized part to leading order in αs, including the zero-bin subtraction for the collinear part.

UR - http://www.scopus.com/inward/record.url?scp=33846414344&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33846414344&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.75.016003

DO - 10.1103/PhysRevD.75.016003

M3 - Article

AN - SCOPUS:33846414344

VL - 75

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 1

M1 - 016003

ER -