Small-x evolution in the next-to-leading order

Conference · Tue Dec 01 04:00:00 EST 2009 · Mod.Phys.Lett.A

DOI:https://doi.org/10.1142/S0217732309001261· OSTI ID:983607

Chirilli, Giovanni Antonio

After a brief introduction to Deep Inelastic Scattering in the Bjorken limit and in the Regge Limit we discuss the operator product expansion in terms of non local string operator and in terms of Wilson lines. We will show how the high-energy behavior of amplitudes in gauge theories can be reformulated in terms of the evolution of Wilson-line operators. In the leading order this evolution is governed by the non-linear Balitsky-Kovchegov (BK) equation. In order to see if this equation is relevant for existing or future deep inelastic scattering (DIS) accelerators (like Electron Ion Collider (EIC) or Large Hadron electron Collider (LHeC)) one needs to know the next-to-leading order (NLO) corrections. In addition, the NLO corrections define the scale of the running-coupling constant in the BK equation and therefore determine the magnitude of the leading-order cross sections. In Quantum Chromodynamics (QCD), the next-to-leading order BK equation has both conformal and non-conformal parts. The NLO kernel for the composite operators resolves in a sum of the conformal part and the running-coupling part. The QCD and kernel of the BK equation is presented.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 983607
• Report Number(s): JLAB-THY-09-1079; DOE/OR/23177-1089
• Conference Information: Journal Name: Mod.Phys.Lett.A Journal Volume: 24
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
AMPLITUDES
CROSS SECTIONS
DEEP INELASTIC SCATTERING
ELECTRONS
HADRONS
KERNELS
OPERATOR PRODUCT EXPANSION
PHYSICS
QUANTUM CHROMODYNAMICS