Gauge Invariance and QCD Twist-3 Factorization for Single Spin Asymmetries
arXiv:1409.2938 · doi:10.1007/JHEP02(2015)163
Abstract
The collinear factorization at twist-3 for Drell-Yan processes is studied with the motivation to solve the discrepancy in literature about the single spin asymmetry in the lepton angular distribution, and to show how QCD gauge invariance is realized in the hadronic tensor. The obtained result here agrees with our early result derived with a totally different approach. In addition to the asymmetry we can construct another two observables to identify the spin effect. We show that the gauge invariance of different contributions in the hadronic tensor is made in different ways by summing the effects of gluon exchanges. More interestingly is that we can show that the virtual correction to one structure function of the hadronic tensor, hence to some weighted SSA observables, is completely determined by the quark form factor. This will simplify the calculation of higher order corrections. The corresponding result in semi-inclusive DIS is also given for the comparison with Drell-Yan processes.
arXiv commentSmall changes, accepted by JHEP
References in corpus (20)
- Time-reversal odd distribution functions in leptoproduction
- Single Transverse-Spin Asymmetries in Hadronic Pion Production
- Single Transverse Spin Asymmetry for Large-p_T Pion Production in Semi-Inclusive Deep Inelastic Scattering
- Next-to-leading Order Calculation of the Single Transverse Spin Asymmetry in the Drell-Yan Process
- Single spin asymmetries from a gluonic background in the Drell-Yan process
- Color gauge invariance in the Drell-Yan process
- Partonic Pole Matrix Elements for Fragmentation
- Single spin asymmetry for the Drell-Yan process
- On Unique Predictions for Single Spin Azimuthal Asymmetry
- Transverse momentum-weighted Sivers asymmetry in semi-inclusive deep inelastic scattering at next-to-leading order
- Scale Dependence of Twist-3 Quark-Gluon Operators for Single Spin Asymmetries
- Single transverse-spin asymmetry in Drell-Yan lepton angular distribution
- Gauge invariance, causality and gluonic poles
- Soft-Gluon-Pole Contribution in Single Transverse-Spin Asymmetries of Drell-Yan Processes
- Single Transverse Spin Asymmetries at Parton Level
- An Analysis of the Next-to-Leading Order Corrections to the g_T(=g_1+g_2) Scaling Function
- Transverse single spin asymmetry in the Drell-Yan process
- QCD Corrections of All Structure Functions in Transverse Momentum Dependent Factorization for Drell-Yan Processes
- Single Transverse-Spin Asymmetries in Drell-Yan Processes
- Asymmetries associated with higher twists: gauge invariance, gluonic poles and twist three