Abstract
This report attempts to the phenomenological study of the charged-current neutrino deep-inelastic scattering (DIS) within the perturbative QCD framework. The study is based on the solution of the Dokshitzer-Gribov-Lipatov-Altarelli-Parisi (DGLAP) evolution equation in leading and next-to-leading order at small-x for parity-violating DIS structure function
Highlights
Considerable effort has been devoted to obtain clear and reliable quantitative information about the QCD observables such as scaling violation, strong coupling constant, QCD sum rules and distribution of quarks and gluons in the nucleons by means of lepton-nucleon deep inelastic scattering (DIS) for the last three decades
Leptons used in deep inelastic processes are either charged leptons or neutrinos which scatter off the target nucleons via the electromagnetic or weak interactions respectively
As neutrinos interact weakly with other particles, due to parity violation in the weak interaction the xxFF3(xx, QQ2) structure function appears in neutrino DIS
Summary
Considerable effort has been devoted to obtain clear and reliable quantitative information about the QCD observables such as scaling violation, strong coupling constant, QCD sum rules and distribution of quarks and gluons in the nucleons by means of lepton-nucleon deep inelastic scattering (DIS) for the last three decades. The xxFF3(xx, QQ2) structure function receives contributions from non-singlet part of the co-efficient function only and reflects only the valence quark distributions It is free from sea quark and gluon densities about which we have very poor information in particular in the small-x region [1, 2]. Fiorani-Marchesini (CCFM), Balitsky-Kovchegov (BK), Gribov-Levin-Ryskin (GLR) etc., in different kinematical regions Among these evolution equations, BFKL or GLR equations are more appealing at small-x, but still the DGLAP evolution equation is used to study various structure functions because this equation is a simple perturbative tool which is relevant for the presently accessible x-Q2 range of structure functions. The agreement of the theoretical as well as experimental data reflects that the Taylor series method is a significant method in order to study the small- xx behavior of the xxFF3(xx, QQ2) structure functions
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