Resummation of large endpoint corrections to color-octet J/ψ photoproduction

Sean P Fleming, Adam K. Leibovich, Thomas Mehen

Research output: Contribution to journalArticle

53 Citations (Scopus)

Abstract

An unresolved problem in J/ψ phenomenology is a systematic understanding of the differential photoproduction cross section, dσ/dz[γ+p→J/ψ+X], where z=Eψ/Eγ in the proton rest frame. In the nonrelativistic QCD (NRQCD) factorization formalism, fixed-order perturbative calculations of color-octet mechanisms suffer from large perturbative and nonperturbative corrections that grow rapidly in the endpoint region, z→1. In this paper, NRQCD and soft collinear effective theory are combined to resum these large corrections to the color-octet photoproduction cross section. We derive a factorization theorem for the endpoint differential cross section involving the parton distribution function and the color-octet J/ψ shape functions. A one-loop matching calculation explicitly confirms our factorization theorem at next-to-leading order. Large perturbative corrections are resummed using the renormalization group. The calculation of the color-octet contribution to dσ/dz is in qualitative agreement with data. Quantitative tests of the universality of color-octet matrix elements require improved knowledge of shape functions entering these calculations as well as resummation of the color-singlet contribution which accounts for much of the total cross section and also peaks near the endpoint.

Original languageEnglish (US)
Article number114004
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume74
Issue number11
DOIs
StatePublished - 2006

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octets
photoproduction
color
Cross section
factorization
Factorization Theorem
shape functions
cross sections
Shape Function
theorems
quantum chromodynamics
Collinear
Phenomenology
phenomenology
partons
Renormalization Group
Universality
Color
Factorization
Distribution Function

ASJC Scopus subject areas

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

Cite this

Resummation of large endpoint corrections to color-octet J/ψ photoproduction. / Fleming, Sean P; Leibovich, Adam K.; Mehen, Thomas.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 74, No. 11, 114004, 2006.

Research output: Contribution to journalArticle

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