# 8th International Workshop on Multiple Partonic Interactions at the LHC

from 28 November 2016 to 2 December 2016
Hotel Rincón del Arco
Mexico/General timezone
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# A STUDY OF STRUCTURE FUNCTIONS WITH DGLAP EQUATIONS AT SMALL x WITH ORDER O(x) AND O(x^2)

## Speakers

• Ms. Luxmi MACHAHARI

## Abstract content

We obtain a pair of second order differential equations in two variables $x$ and $t$ from the coupled DGLAP QCD evolution equations at small $x$ using the standard Taylor series expansion method.To that end we keep terms upto $O(x^2)$.We use the standard assumption about the relationship between the singlet Structure Function and the gluon distributions available in current literature. We then show that the two solutions are not identical in general.Analysis of the results obtained are done in the range of the recent HERA data.We also study the limiting behaviour of our results taking only $O(x)$ and neglecting the $O(x^2)$.We also explore the corresponding solutions of dDGLAP equations as double parton interactions at LHC.