6533b7d9fe1ef96bd126ce63
RESEARCH PRODUCT
How to perform QCD analysis of DIS in Analytic Perturbation Theory
S. V. MikhailovCesar Ayalasubject
PhysicsQuantum chromodynamicsNuclear and High Energy PhysicsMellin transformParticle physicsMomentum transferInverseFOS: Physical sciencesPartonDeep inelastic scatteringsymbols.namesakeHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)symbolsJacobi polynomialsHigh Energy Physics::ExperimentNucleondescription
We apply (Fractional) Analytic Perturbation Theory (FAPT) to the QCD analysis of the nonsinglet nucleon structure function $F_2(x,Q^2)$ in deep inelastic scattering up to the next leading order and compare the results with ones obtained within the standard perturbation QCD. Based on a popular parameterization of the corresponding parton distribution we perform the analysis within the Jacobi Polynomial formalism and under the control of the numerical inverse Mellin transform. To reveal the main features of the FAPT two-loop approach, we consider a wide range of momentum transfer from high $Q^2\sim 100 {\rm GeV}^2$ to low $Q^2\sim 0.3 {\rm GeV}^2$ where the approach still works.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2015-03-02 |