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An improved analysis of proton structure function F2(x,t) at small x

  • Luxmi Machahari
  • D. K. Choudhury
Regular Article - Theoretical Physics

Abstract.

We report an improved analysis of Taylor approximated coupled DGLAP equations for singlet \(F_{2}^{S}(x,t)\) and gluon G(x,t) distributions at small x pursued in recent years. To that end, we assume a plausible t-dependent relation between the singlet and gluon distribution valid at small x and omit the boundary condition \(F_{2}^{S} (1, t) = 0\), for any t which needs large x extrapolation of small x solution. We observe that in general two inequivalent t-evolutions of \( F_{2}^{S} (x, t)\) and G(x, t) are possible. Theoretical advantages of one over the other are discussed and compared with the recently compiled data in order to choose the best one. Phenomenological range of validity of solutions is also reported.

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Copyright information

© SIF, Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of PhysicsGauhati UniversityGuwahatiIndia
  2. 2.Physics Academy of North-EastGuwahatiIndia

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