Details

Autor(en) / Beteiligte

• Boroun, G. R.
• Rezaei, B.

Titel

Decoupling of the DGLAP evolution equations at next-to-next-to-leading order (NNLO) at low-x

Ist Teil von

• The European physical journal. C, Particles and fields, 2013-05, Vol.73 (5), p.1-8, Article 2412

Ort / Verlag

Berlin/Heidelberg: Springer-Verlag

Erscheinungsjahr

2013

Link zum Volltext

Quelle

SpringerNature Journals

Beschreibungen/Notizen

• We present a set of formulas to extract two second-order independent differential equations for the gluon and singlet distribution functions. Our results extend from the LO up to NNLO DGLAP evolution equations with respect to the hard-Pomeron behavior at low- x . In this approach, both singlet quarks and gluons have the same high-energy behavior at low- x . We solve the independent DGLAP evolution equations for the functions and G ( x , Q 2 ) as a function of their initial parameterization at the starting scale  . The results not only give striking support to the hard-Pomeron description of the low- x behavior, but give a rather clean test of perturbative QCD showing an increase of the gluon distribution and singlet structure functions as x decreases. We compared our numerical results with the published BDM (Block et al. Phys. Rev. D 77:094003 ( 2008 )) gluon and singlet distributions, starting from their initial values at .