Small x phenomenology on gluon evolution through the BFKL equation in light of a constraint in multi-Regge kinematics  

作　　者：Pragyan Phukan Madhurjya Lalung Jayanta Kumar Sarma 

机构地区：[1]HEP laboratory,Department of Physics,Tezpur University,India

出　　处：《Communications in Theoretical Physics》2020年第2期50-59,共10页理论物理通讯（英文版）

基　　金：the Department of Science and Technology(DST),India(grant DST/INSPIRE Fellowship/2017/IF160770);the Council of Scientific and Industrial Research(CSIR),New Delhi(grant 09/796(0064)2016-EMR-I)respectively for the financial assistantship.

摘　　要：We investigate the impact of so-called kinematic constraint on gluon evolution at small x.Implanting the constraint on the real emission term of the gluon ladder diagram,we obtain an integro-differential form of the Balitsky-Fadin-Kuraev-Lipatov(BFKL)equation.Later we solve the equation analytically using the method of characteristics.We sketch the Bjorken x and transverse momentum kt2 dependence of our solution of unintegrated gluon distributions f(x,kt2)in the kinematic constraint supplemented BFKL equation and contrasted the same with the original BFKL equation.Then we extract the integrated gluon density xg(x,Q2)from unintegrated gluon distributions f(x,kt2)and compared our theoretical prediction with that of global data fits,namely NNPDF3.1 sx and CT14.Finally we illustrate the phenomenological implication of our solution for unintegrated gluon distribution f(x,kT2)towards exploring high precision HERA DIS data by the theoretical prediction of proton structure functions(F2 and FL).We investigate the impact of so-called kinematic constraint on gluon evolution at small x.Implanting the constraint on the real emission term of the gluon ladder diagram, we obtain an integro-differential form of the Balitsky-Fadin-Kuraev-Lipatov（BFKL） equation. Later we solve the equation analytically using the method of characteristics. We sketch the Bjorken x and transverse momentum kt2 dependence of our solution of unintegrated gluon distributions f （x,kt2） in the kinematic constraint supplemented BFKL equation and contrasted the same with the original BFKL equation. Then we extract the integrated gluon density xg（x, Q2） from unintegrated gluon distributions f （x,kt2） and compared our theoretical prediction with that of global data fits, namely NNPDF3.1 sx and CT14. Finally we illustrate the phenomenological implication of our solution for unintegrated gluon distribution f （x,kT2） towards exploring high precision HERA DIS data by the theoretical prediction of proton structure functions（F2 and FL）.

关 键 词：PARTON EVOLUTION equation GLUON distribution function perturbative QCD 

分 类 号：O572.3[理学—粒子物理与原子核物理] O175[理学—物理]