Small $x$ phenomenology on gluon evolution through BFKL equation in light of a constraint in multi-Regge kinematics
| Autor: | P. Phukan, Madhurjya Lalung, Jayanta Kumar Sarma |
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| Rok vydání: | 2019 |
| Předmět: |
Physics
High Energy Physics - Phenomenology Theoretical physics High Energy Physics - Phenomenology (hep-ph) Physics and Astronomy (miscellaneous) High Energy Physics::Phenomenology Perturbative QCD FOS: Physical sciences High Energy Physics::Experiment Kinematics Nuclear Experiment Phenomenology (particle physics) Gluon |
| DOI: | 10.48550/arxiv.1906.06468 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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