Abstract
The deep inelastic scattering cross section in the endpoint region x∼1 has been subjected to extensive analysis. We revisit this process using soft collinear effective theory, and show that in the endpoint individual factors in the factorized hadronic tensor have rapidity divergences. We regulate these divergences using a recently introduced rapidity regulator, and find that each operator matrix element requires a different scale to minimize large rapidity logarithms. However, the running in rapidity is nonperturbative and must be absorbed into the definition of the parton distribution function.
| Original language | English (US) |
|---|---|
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 91 |
| Issue number | 9 |
| DOIs | |
| State | Published - May 12 2015 |
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ASJC Scopus subject areas
- Nuclear and High Energy Physics
Cite this
Rapidity divergences and deep inelastic scattering in the endpoint region. / Fleming, Sean P; Labun, Ou Z.
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 91, No. 9, 12.05.2015.Research output: Contribution to journal › Article
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TY - JOUR
T1 - Rapidity divergences and deep inelastic scattering in the endpoint region
AU - Fleming, Sean P
AU - Labun, Ou Z.
PY - 2015/5/12
Y1 - 2015/5/12
N2 - The deep inelastic scattering cross section in the endpoint region x∼1 has been subjected to extensive analysis. We revisit this process using soft collinear effective theory, and show that in the endpoint individual factors in the factorized hadronic tensor have rapidity divergences. We regulate these divergences using a recently introduced rapidity regulator, and find that each operator matrix element requires a different scale to minimize large rapidity logarithms. However, the running in rapidity is nonperturbative and must be absorbed into the definition of the parton distribution function.
AB - The deep inelastic scattering cross section in the endpoint region x∼1 has been subjected to extensive analysis. We revisit this process using soft collinear effective theory, and show that in the endpoint individual factors in the factorized hadronic tensor have rapidity divergences. We regulate these divergences using a recently introduced rapidity regulator, and find that each operator matrix element requires a different scale to minimize large rapidity logarithms. However, the running in rapidity is nonperturbative and must be absorbed into the definition of the parton distribution function.
UR - http://www.scopus.com/inward/record.url?scp=84929376702&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84929376702&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.91.094011
DO - 10.1103/PhysRevD.91.094011
M3 - Article
AN - SCOPUS:84929376702
VL - 91
JO - Physical review D: Particles and fields
JF - Physical review D: Particles and fields
SN - 0556-2821
IS - 9
ER -