6533b82cfe1ef96bd128f5cd
RESEARCH PRODUCT
One-loop corrections to light cone wave functions: the dipole picture DIS cross section
H. HänninenRisto PaatelainenRisto PaatelainenTuomas LappiTuomas Lappisubject
small-xNuclear TheoryGeneral Physics and AstronomyVirtual particleFOS: Physical scienceshiukkasfysiikka01 natural sciences114 Physical sciencesNuclear Theory (nucl-th)Dimensional regularizationHigh Energy Physics - Phenomenology (hep-ph)Light cone0103 physical sciencesTensorHelicity basis010306 general physicskvanttifysiikkaPhysicsDISta114010308 nuclear & particles physicsHelicityLoop integralQCDEVOLUTIONlight-cone perturbation theoryDipoleHigh Energy Physics - PhenomenologyQuantum electrodynamicsREGULARIZATIONcolor glass condensatedescription
We develop methods needed to perform loop calculations in light cone perturbation theory using a helicity basis, refining the method introduced in our earlier work. In particular this includes implementing a consistent way to contract the four-dimensional tensor structures from the helicity vectors with d-dimensional tensors arising from loop integrals, in a way that can be fully automatized. We demonstrate this explicitly by calculating the one-loop correction to the virtual photon to quark-antiquark dipole light cone wave function. This allows us to calculate the deep inelastic scattering cross section in the dipole formalism to next-to-leading order accuracy. Our results, obtained using the four dimensional helicity scheme, agree with the recent calculation by Beuf using conventional dimensional regularization, confirming the regularization scheme independence of this cross section.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2018-06-01 |