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We investigate the twist four longitudinal structure function $F_{L}^{\tau=4}$ of deep inelastic scattering and show that the integral of ${F_{L}^{\tau=4} \over x}$ is related to the expectation value of the fermionic part of the…

High Energy Physics - Phenomenology · Physics 2009-10-30 A. Harindranath , Rajen Kundu , Asmita Mukherjee , James P. Vary

To resolve various outstanding issues associated with the twist four longitudinal structure function ${F_L^{\tau=4}(x)}$ we perform an analysis based on the BJL expansion for the forward virtual photon-hadron Compton scattering amplitude…

High Energy Physics - Phenomenology · Physics 2010-11-19 A. Harindranath , Rajen Kundu , Asmita Mukherjee , James P. Vary

In this thesis, we have investigated the higher twist structure functions in the recently developed method based on light-front Hamiltonian QCD. Because of various special properties of light-front QCD, this is a more intuitive approach…

High Energy Physics - Phenomenology · Physics 2007-05-23 Asmita Mukherjee

A reanalysis of the model for the longitudinal structure function $F_L (x,Q^2)$ at low $x$ and low $Q^2$ was undertaken, in view of the advent of the EIC. The model is based on the photon-gluon fusion mechanism suitably extrapolated to the…

High Energy Physics - Phenomenology · Physics 2022-04-20 B. Badelek , A. M. Stasto

A model for the longitudinal structure function $F_L$ in the region of low $x$ and low $Q^2$ is discussed. It is constructed using the $k_T$ factorization theorem and a photon-gluon fusion mechanism suitably extrapolated to the region of…

High Energy Physics - Phenomenology · Physics 2011-04-15 A. M. Stasto

We calculate the mass spectrum and the structure of the positronium system at a strong coupling in a basis light-front approach. We start from the light-front QED Hamiltonian and retain one dynamical photon in our basis. We perform the…

High Energy Physics - Phenomenology · Physics 2021-03-12 Xingbo Zhao , Kaiyu Fu , Hengfei Zhao , James P. Vary

A model for the longitudinal structure function $F_L$ at low $x$ and low $Q^2$ is presented, which includes the kinematical constraint $F_L \sim Q^4$ as $Q^2 \rightarrow 0$. It is based on the photon-gluon fusion mechanism suitably…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Badelek , J. Kwiecinski , A. Stasto

We investigate the feasibility of analyzing deep inelastic structure functions in Hamiltonian formalism by combining the light-front BJL limit of high energy amplitudes and the Fock space (multi-parton) description of hadrons. This study is…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Harindranath , Rajen Kundu

Light-front Fock state wavefunctions encode the bound state properties of hadrons in terms of their quark and gluon degrees of freedom at the amplitude level. The freedom to choose the light-like quantization four-vector provides an…

High Energy Physics - Phenomenology · Physics 2009-09-11 Stanley J. Brodsky

We performed NLO QCD fit of combined SLAC/BCDMS/NMC DIS data at high $x$. Model independent x-shape of high twist contribution to structure function $F_L$ is extracted. Twist-4 contribution is found to be in fair agreement with the…

High Energy Physics - Phenomenology · Physics 2011-09-13 Alekhin Sergey

The Lorentz contraction of bound states in field theory is often appealed to in qualitative descriptions of high energy particle collisions. Surprisingly, the contraction has not been demonstrated explicitly even in simple cases such as the…

High Energy Physics - Phenomenology · Physics 2009-11-10 M. Jarvinen

The low $x$ limit of deep inelastic electron proton scattering is considered using methods of perturbative QCD. In the first part we investigate the phenomenological consequences of the resummation of leading logarithms in $1/x$ given by…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. Lotter

Light front formalism for composite systems is presented. Derivation of equations for bound state and scattering problems are given. Methods of constructing of elastic form factors and scattering amplitudes of composite particles are…

High Energy Physics - Theory · Physics 2008-11-26 V. R. Garsevanishvili , A. A. Khelashvili , Z. R. Menteshashvili , M. S. Nioradze

The behavior of the structure function at high energies (high densities) is directly associated to the gluon distribution. In this paper we analyze the asymptotic behavior of the structure function at very high densities considering a…

High Energy Physics - Phenomenology · Physics 2009-11-07 M. B. Gay Ducati , V. P. Goncalves

The available data on $F_L$ suggest the existence of unexpected large higher twist contributions. We use the $1/N_f$ expansion to analyze the renormalon contribution to the coefficient function of the longitudinal structure function…

High Energy Physics - Phenomenology · Physics 2009-10-28 E. Stein , M. Meyer-Hermann , L. Mankiewicz , A. Schäfer

I discuss in this talk the physics of the $Q^2$ dependence of the $G_1(x,Q^2)$ structure function sum rule. For $Q^2>3$ GeV$^2$, the $Q^2$ variation is controlled by pure QCD radiative corrections. For $0.5<Q^2<3$ GeV$^2$, the twist-four…

High Energy Physics - Phenomenology · Physics 2016-09-01 Xiangdong Ji

We analyze the higher-twist effects and the SU(3)-flavour symmetry breaking in the correlation functions used to calculate form factors of pseudoscalar mesons in the QCD light-cone sum rule approach. It is shown that the Ward identities for…

High Energy Physics - Phenomenology · Physics 2011-09-13 Johan Bijnens , Alexander Khodjamirian

We show some results concerning the weak binding limit for J=0 states -- which turn out to strongly differ from the non relativistic case -- together with the construction of non zero angular momentum states. The calculation of such states…

High Energy Physics - Theory · Physics 2010-11-19 M. Mangin-Brinet , J. Carbonell , V. A. Karmanov

Recently, Chmutov proved that the partial-dual polynomial considered as a function on chord diagrams satisfies the four-term relation. Deng et al. then proved that this function on framed chord diagrams also satisfies the four-term…

Combinatorics · Mathematics 2024-04-17 Qingying Deng , Xian'an Jin , Qi Yan

It is shown that in the ultra-high energy neutrino interactions the higher twist corrections brought about by the non-conservation of the top-bottom current dramatically change the longitudinal structure function, $F_L$. To the Double…

High Energy Physics - Phenomenology · Physics 2011-07-26 R. Fiore , V. R. Zoller
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