Phenomenological investigation of the beauty content of a proton in the framework of k t -factorization using Kimber-Martin-Ryskin and Martin-Ryskin-Watt unintegrated parton distributions
Year: 2024
Type: article
Abstract: In this paper, we address the reduced beauty cross section [ σ red b b ¯ ( x , Q 2 ) ] and the beauty structure function [ F 2 b b ¯ ( x , Q 2 ) ], to study the beauty content of a proton. We calculate σ red b b ¯ and F 2 b b ¯ in the k t -factorization formalism by using the integral form of the Kimber-Martin-Ryskin and Martin-Ryskin-Watt unintegrated parton distribution function (KMR and MRW-UPDF) with the angular ordering constraint (AOC) and the M M H T 2014 P D F set as the input. Recently Guiot and van Hameren demonstrated that the upper limit, k max , of the transverse-momentum integration performed in the k t -factorization formalism should be almost equal to Q , where Q is the hard scale, otherwise it leads to an overestimation of the proton structure function [ F 2 ( x , Q 2 ) ]. In the present work, we show that k max cannot be equal to Q at low and moderate energy region, and also by considering the gluon and quark contributions to the same perturbative order and a physical gauge for the gluon, i.e., A μ q μ ′ = 0 in the calculation of F 2 b b ¯ in the k t -factorization formalism, we do not encounter any overestimation of the theoretical predictions due to different choices of k max > Q . Finally, the resulted σ red b b ¯ and F 2 b b ¯
Author: N. Olanj
Institution: Bu-Ali Sina University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4401638078