The next-to-leading order (NLO) gluon distribution from DGLAP equation and the logarithmic derivatives of the proton structure function 𝐹2 (𝑥, 𝑄2) at low 𝑥

Pramana

P K Sahariah2¹  D K Choudhury² 

[1]Department of Physics, Cotton College, Guwahati 781 001, India$$

[2]Department of Physics, Gauhati University, Guwahati 781 014, India$$

关键词: DGLAP equation;    structure functions;    low 𝑥;    method of characteristics;    logarithmic derivatives of 𝐹2 (𝑥;    𝑄2).;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

At low 𝑥, an analytic solution of the DGLAP equation for gluon in the next-to-leading order (NLO) is obtained by applying the method of characteristics. Its compatibility with double leading logarithmic approximation (DLLA) asymptotics is discussed and comparison with the exact ones like GRV98NLO is made. The solution is then utilized to calculate the derivatives $dfrac{𝜕 𝐹2 (x, 𝑄2)}{𝜕 {ext{ln}} 𝑄2}$ and $dfrac{𝜕 {ext{ln}} 𝐹2 (x, 𝑄2)}{𝜕 {ext{ln}} (1/x)}$ and compared with the recent HERA data. Our solution is found to reproduce most of the essential features of the data on the derivatives.

【 授权许可】

Unknown