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arXiv · 1906.06468

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

P. Phukan·M. Lalune·J. K. Sarma
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Abstract

We investigate the impact of so called kinematic constraint on gluon evolution at small $x$. Implanting the constraint on the real emission term of gluon ladder diagram, we obtain an integro-differential form of BFKL equation. Later we solve the equation analytically using the method of characteristics. We sketch the Bjorken x and transverse momentum $k_t^2$ dependence of our solution of unintegrated gluon distributions $f(x,k_t^2)$ in kinematic constraint supplemented BFKL equation and contrasted the same with original BFKL equation. Then we extract the collinear gluon density $xg(x,Q^2)$ from unintegrated gluon distributions $f(x,k_t^2)$ and compared our theoretical prediction with that of global data fits viz. NNPDF3.1sx and CT14. Finally we assess the sensitivity of $f(x,k_t^2)$ towards BFKL intercept $\lambda$ for three canonical choices of $\lambda$ viz. o.4, 0.5 and 0.6.

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P. Phukan, M. Lalune, J. K. Sarma. 2019-06-15. Small $x$ phenomenology on gluon evolution through BFKL equation in light of a constraint in multi-Regge kinematics. https://doi.org/10.1088/1572-9494%2Fab61ee

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