On the analytical study of Mellin moments of parton distribution functions
Abstract
Mellin moments of parton density functions are obtained as integrals of the distribution over Bjorken-x variable. They are not only used for obtaining the solution of scale evolution equation of parton densities but also for the evaluation of scattering cross sections. In this work, we review the evolution equations of moments of parton density functions and their applications in QCD analysis have also been studied. One can study scaling violation, without making any assumption, on the shape of input parameterization of parton densities.
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References
[2] M. Gluck, E. Reya, and A. Vogt, Z. Phys. C48, 471 (1990).
[3] J.D. Bjorken, Phys. Rev. 179, 1547 (1969).
[4] G.Altarelli, G.Parisi, Nucl. Phys. B 126, 298 (1977).
[5] D. Kotlorz and A. Kotlorz, Physics Letters B644, 284 (2007).
[6] D. Kotlorz and A. Kotlorz, Acta Phys. Polon. B40, 1661 (2009).
[7] D. Kotlorz and A. Kotlorz, Physics of Particles and Nuclei Letters 4, 357 (2014).
[8] D. Bonocore et al, JHEP 05, 079 (2016).
[9] V. N. Gribov and L. N. Lipatov, Sov. J. Nucl. Phys. 15, 438 (1972).
[10] L. N. Lipatov, Sov. J. Nucl. Phys.20, 94 (1975).
[11] G.Altarelli and G.Parisi, Nucl. Phys.B126, 298 (1977).
[12] M. Glück, E. Reya and A. Vogt, Z. Phys.C48, 471 (1990).
[13] D. Kotlorz and A. Kotlorz, Phys. Lett.B644, 284 (2007).
[14] D. Kotlorz and A. Kotlorz, Acta Phys. Polon.B40, 1661 (2009).
[15] D. Bonocore et al, JHEP05, 079 (2016).
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