Analytical computation of Bose-Einstein integral functions

The study of Bose-Einstein integral functions is important in the fact that such functions arise in various numerical calculations of different domains of physics. The significance of gamma function and Riemann zeta function in solving such integrals has been studied and functional equations are evaluated thereby enabling the integrals of all orders to be calculated

Analysis of proton structure function at small x

Deep Inelastic Scattering (DIS) is one of the phenomenological events in order to understand the structure of proton along with the density of partons. The HERA run had given a new understanding of the structure of hadrons. In the present work, we have plotted the graphs between momentum transfer squared Q2 = 8.5 GeV2 and Q2 = 1600 GeV2 and found that the proton structure function F2(x,Q2) decreases gradually with the increase in scaling factor Q2. This conforms with the existing theories. The structure function is more significant at small Bjorken x but with the increase in x, the structure function decreases. The larger the x value, the chances of understanding the structure function seemingly become less

On the analytical study of Mellin moments of parton distribution functions

Mellin moments of parton density functions are obtained as integrals of the distribution over Bjorken-x variable. They are not only used for obtaining the solution of scale evolution equation of parton densities but also for the evaluation of scattering cross sections. In this work, we review the evolution equations of moments of parton density functions and their applications in QCD analysis have also been studied. One can study scaling violation, without making any assumption, on the shape of input parameterization of parton densities

Fractal Inspired Models of Quark and Gluon Distributions and Longitudinal Structure Function FL(x, Q2) at small x

In recent years, Fractal Inspired Models of quark and gluon densities at small x have been proposed. In this paper, we investigate longitudinal structure function F-L (x, Q2) within this approach. We make predictions using the QCD based approximate relation between the longitudinal structure function and the gluon density. As the Altarelli-Martinelli equation for the longitudinal structure function cannot be applied to Model I due to the presence of a singularity in the Bjorken x-space we consider Model II only. The qualitative feature of the prediction of Model II is found to be compatible with the QCD expectation.Comment: 11 pages, 4 figures, Accepted for publication on 10-07-2010 in Indian Journal of Physic

Pinning down the self-similar gluon distribution from momentum sum rule

The third international workshop on multiple partonic interactions (MPI) took place at DESY in Hamburg from 21 to 25 November 2011. MPI are often crucial for interpreting results obtained at the Large Hadron Collider (LHC). The quest for a sound understanding of the dynamics behind MPI { particularly in the era of the LHC { has thus focused the aim of this workshop. It concentrated on phenomenology at previous hadron colliders and early LHC results, as well as theoretical considerations and the modeling of MPI in Monte Carlo event generators. The workshop forstered close contact between the experimental and theoretical communities. It provided a setting to discuss many of the dierent aspects of MPI, eventually identifying them as a unifying concept between apparently dierent lines of research and evaluating their impact on the LHC physics programme. In a total of 45 plenary talks, two round table discussions and a poster session, the workshop covered experimental results, Monte Carlo development and tuning, phenomenology and dedicated measurements of MPI, progress of theoretical understanding as well as the role of MPI in diraction and small-x physics. Connections to closely related research within the elds of heavy ion physics and cosmic rays have also been covered