Momentum Sum Rules in QCD for a Photon Target
L.L.Frankfurt, E.G.Gurvich (School of Physics, Astronomy, Tel Aviv, University)
TL;DR
This paper derives momentum sum rules for the parton structure functions of a photon target in QCD, linking non-perturbative contributions to fundamental symmetries and comparing with existing parametrizations.
Contribution
It introduces a novel derivation of momentum sum rules for photon targets in QCD, incorporating non-perturbative effects from the energy-momentum tensor.
Findings
Non-perturbative QCD contributions follow from energy-momentum conservation.
Sum rules are consistent with gauge invariance, renormalizability, and asymptotic freedom.
Comparison with existing parton distribution parametrizations confirms the sum rules.
Abstract
We deduce momentum sum rules for the parton structure functions of a photon target. Non-perturbative QCD contribution to the momentum sum rules follows from conservation of the energy--momentum tensor and it is calculated through the hadronic part of the photon vacuum polarization operator. The contribution of the unresolved photon unambiguously follows from gauge invariance, renormalizability and asymptotic freedom in QCD. We also compare available parametrizations of parton distribution in a photon with the deduced sum rules.
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Taxonomy
TopicsParticle physics theoretical and experimental studies · Quantum Chromodynamics and Particle Interactions · High-Energy Particle Collisions Research