The muon parton distribution functions
Stefano Frixione, Giovanni Stagnitto
Abstract
A bstract We compute the Parton Distribution Functions (PDFs) of the unpolarised muon for the leptons, the photon, the light quarks, and the gluon. We discuss in detail the issues stemming from the necessity of evaluating the strong coupling constant at scales of the order of the typical hadron mass, and compare our novel approach with those currently available in the literature. While we restrict our phenomenological results to be leading-logarithmic accurate, we set up our formalism in a way that renders it straightforward to achieve next-to-leading logarithmic accuracy in the QED, QCD, and mixed QED × QCD contributions.
Topics & Concepts
PhysicsParticle physicsPartonMuonQuantum chromodynamicsGluonQuarkLeptonDistribution functionFormalism (music)HadronLogarithmCoupling constantNuclear physicsQuantum mechanicsElectronMusicalVisual artsMathematical analysisArtMathematicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle InteractionsHigh-Energy Particle Collisions Research