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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

We compute the coefficient function for the charge-averaged W^(+/-)-exchange structure function F_3 in deep-inelastic scattering (DIS) to the third order in massless perturbative QCD. Our new three-loop contribution to this quantity forms,…

High Energy Physics - Phenomenology · Physics 2010-04-05 S. Moch , J. Vermaseren , A. Vogt

The $F_{2}$ structure functions of the inelastic lepton-hadron scattering is calculated in the case of non-zero intermediate gluon-quarks self-energy $M_{gq}^{2}$ and quasielastic limit. It is shown that in the quasielastic limit the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ya. D. Krivenko-Emetov

We compute the perturbative component of the fragmentation function of the $b$ quark to the best of the present theoretical knowledge. The fixed-order calculation to order $\alpha_s^2$ of the fragmentation function at the initial scale is…

High Energy Physics - Phenomenology · Physics 2022-10-13 Fabio Maltoni , Giovanni Ridolfi , Maria Ubiali , Marco Zaro

The longitudinal structure function in deep inelastic scattering is one of the observables from which the gluon distribution can be unfolded. Consequently, this observable can be used to constrain the QCD dynamics at small $x$. In this work…

High Energy Physics - Phenomenology · Physics 2011-09-13 V. P. Goncalves , M. V. T. Machado

We explore the collinear limit of final-state quark splittings at order $\alpha_s^2$. While at general NLL level, this limit is described simply by a product of leading-order $1\to 2$ DGLAP splitting functions, at the NNLL level we need to…

High Energy Physics - Phenomenology · Physics 2022-02-17 Mrinal Dasgupta , Basem Kamal El-Menoufi

We investigate the consistency requirements of the next-to leading BFKL equation with the renormalization group, with particular emphasis on running coupling effects and NL anomalous dimensions. We show that, despite some model dependence…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Camici , M. Ciafaloni

We analyze the proton and deuteron structure functions at large $x$ using a recently introduced scaling variable $\bar x$. This variable includes power corrections to $x$-scaling, and thus allows us to reach the Bjorken limit at moderate…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. A. Gurvitz

In the semiclassical approach, inclusive and diffractive quark and gluon distributions are expressed in terms of correlation functions of Wilson loops. Each Wilson loop integrates the colour field strength in the area between the…

High Energy Physics - Phenomenology · Physics 2010-03-25 W. Buchmuller , T. Gehrmann , A. Hebecker

We present the analytic calculation of the Mellin moments of the structure functions F_2, F_3 and F_L in perturbative QCD up to second order corrections and in leading twist approximation. We calculate the 2-loop contributions to the…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Moch , J. A. M. Vermaseren

We review the main aspects of the fragmentation of bottom quarks in top quark decay. The NLO b-quark energy spectrum presents large mass logarithms ln(m_t^2/m_b^2), which can be resummed by the use of the approach of perturbative…

High Energy Physics - Phenomenology · Physics 2007-05-23 Gennaro Corcella

We present a comprehensive study of high-energy double logarithms in inclusive DIS. They appear parametrically as alpha_s^n ln^{2n-k} x at the n-th order in perturbation theory in the splitting functions for the parton evolution and the…

High Energy Physics - Phenomenology · Physics 2022-09-07 J. Davies , C. -H. Kom , S. Moch , A. Vogt

We discuss bounds on the distribution and fragmentation functions that appear at leading order in deep inelastic 1-particle inclusive leptoproduction or in Drell-Yan processes. These bounds simply follow from positivity of the quark-hadron…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bacchetta , M. Boglione , A. Henneman , P. J. Mulders

We study the power corrections (infrared renormalon contributions) to the coefficient functions for non-singlet deep inelastic structure functions due to gluon vacuum polarization insertions in one-loop graphs. Remarkably, for all the…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Dasgupta , B. R. Webber

The nuclear structure function F_2A(x) has been studied in the Bjorken limit for (l, l') scattering on nuclei in the region of x > 1 and was found to be very sensitive to the information contained in the nucleon spectral function in nuclei,…

Nuclear Theory · Physics 2016-08-15 P. Fernández de Córdoba , E. Marco , H. Müther , E. Oset , A. Faessler

The resummation of $O(\alpha_s^{l+1} \ln^{2l} x)$ terms in the evolution equation of the singlet part of $g_1(x,Q^2)$ is carried out. The corresponding singlet evolution kernels are calculated explicitely. The leading small-$x$ contribution…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Blümlein , A. Vogt

A detailed study of inclusive deep inelastic scattering from mirror A = 3 nuclei at large values of Bjorken-x is presented. The main purpose is to estimate the theoretical uncertainties on the extraction of F2n from such measurements.…

Nuclear Theory · Physics 2017-08-23 M. M. Sargsian , S. Simula , M. I. Strikman

We calculate the perturbative parts of the structure functions $F_2^c$ and $F_L^c$ for a gluon target having nonzero transverse momentum squared at order $\alpha_s$. The results of the double convolution (with respect to the Bjorken…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. V. Kotikov , A. V. Lipatov , G. Parente , N. P. Zotov

We present a NLO perturbative analysis of all available data on the polarized structure function g_1(x,Q^2) with the aim of making a quantitative test of the validity of the Bjorken sum rule, of measuring \alpha_s, and of deriving helicity…

High Energy Physics - Phenomenology · Physics 2009-10-30 Guido Altarelli , Richard D. Ball , Stefano Forte , Giovanni Ridolfi

We computed the longitudinal proton structure function $F_{L}$, using the nonlinear Dokshitzer-Gribov-Lipatov-Altarelli-parisi (NLDGLAP) evolution equation approach at small $x$. For the gluon distribution, the nonlinear effects are related…

High Energy Physics - Phenomenology · Physics 2014-02-07 G. R. Boroun