REVIEW 7 cited by
Small-x Helicity Evolution: an Operator Treatment
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Small-x Helicity Evolution: an Operator Treatment
read the original abstract
We rederive the small-$x$ evolution equations governing quark helicity distribution in a proton using solely an operator-based approach. In our previous works on the subject, the evolution equations were derived using a mix of diagrammatic and operator-based methods. In this work, we re-derive the double-logarithmic small-$x$ evolution equations for quark helicity in terms of the "polarized Wilson lines", the operators consisting of light-cone Wilson lines with one or two non-eikonal local operator insertions which bring in helicity dependence. For the first time we give explicit and complete expressions for the quark and gluon polarized Wilson line operators, including insertions of both the gluon and quark sub-eikonal operators. We show that the double-logarithmic small-$x$ evolution of the "polarized dipole amplitude" operators, made out of regular light-cone Wilson lines along with the polarized ones constructed here, reproduces the equations derived in our earlier works. The method we present here can be used as a template for determining the small-$x$ asymptotics of any transverse momentum-dependent (TMD) quark (or gluon) parton distribution functions (PDFs), and is not limited to helicity.
Forward citations
Cited by 7 Pith papers
-
Sub-eikonal stress and model dependence of the small-$x$ gluon D-term
The gluon D-term at small x is a next-to-eikonal stress observable whose sign is not determined by the dipole or saturation profile.
-
Sub-eikonal Structure of High-Energy Deep-Inelastic Scattering
Sub-eikonal corrections to dipole structure functions F_L, F_T and the g1-related asymmetry are derived in a gauge-invariant dipole operator basis, with F_L shown to be finite and the others logarithmically divergent.
-
Unpolarized GPDs at small $x$ and non-zero skewness
Unpolarized GPDs and GTMDs at small x with non-zero skewness are expressed via the dipole amplitude N and odderon O with modified rapidity Y = ln min{1/|x|, 1/|ξ|}.
-
On the Two $R$-Factors in the Small-$x$ Shockwave Formalism
Replacing the rapidity argument of the dipole amplitude with ln min{1/|x|, 1/|ξ|} and refining initial conditions for non-linear evolution can eliminate two R-factors in small-x shockwave calculations.
-
Energy Correlators Resolving Proton Spin
The work establishes a correspondence between spin-dependent energy correlators and polarized TMDs/NECs using SCET, yielding N3LL/N2LL predictions for correlation patterns in current and target fragmentation regions.
-
Nuclear Cold QCD: Review and Future Strategy
Review summarizing observed cold nuclear matter modifications in hadron-nucleus collision data and proposing experimental strategies for the EIC to clarify underlying QCD mechanisms.
-
Science Requirements and Detector Concepts for the Electron-Ion Collider: EIC Yellow Report
The EIC Yellow Report specifies the science goals, required detector capabilities, and technology concepts needed to realize a high-luminosity electron-ion collider program.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.