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The Mellin-transforms of the next-to-leading order Wilson coefficients of the longitudinal structure function are evaluated.

High Energy Physics - Phenomenology · Physics 2008-02-03 J. Blümlein , S. Kurth

We compute the structure functions F2 and FL in the ACOT scheme for heavy quark production. We use the complete ACOT results to NLO, and make use of the MSbar massless results at NNLO and N3LO to estimate the higher order mass-dependent…

High Energy Physics - Phenomenology · Physics 2012-08-15 T. Stavreva , F. I. Olness , I. Schienbein , T. Jezo , A. Kusina , K. Kovarik , J. Y. Yu

An analytical solution based on the Laplace transformation technique for the DGLAP evolution equations is presented at next-to-leading order accuracy in perturbative QCD. This technique is also applied to extract the analytical solution for…

High Energy Physics - Phenomenology · Physics 2017-03-09 Hamzeh Khanpour , Abolfazl Mirjalili , S. Atashbar Tehrani

We analyse the data for the proton structure function $F_2$ over the entire $Q^2$ domain, including especially low $Q^2$, in terms of perturbative and non-perturbative QCD contributions. The small distance configurations are given by…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. D. Martin , M. G. Ryskin , A. M. Stasto

We study inclusive electroproduction on the proton at low $x$ and low $Q^2$ using a soft and a hard Pomeron. The contribution of the soft Pomeron is based on the Stochastic Vacuum Model, in which a nonperturbative dipole-dipole cross…

High Energy Physics - Phenomenology · Physics 2011-09-13 U. D'Alesio , A. Metz , H. J. Pirner

We present a calculation of the reduced cross section in momentum-space approach utilizing the Block-Durand-Ha (BDH) parameterization of the proton structure function $F_{2}(x,Q^2)$ and the leading-order (LO) longitudinal structure function…

High Energy Physics - Phenomenology · Physics 2025-02-12 G. R. Boroun , Phuoc Ha

We parametrize the small x, singlet component of the proton structure function F_2 by powers and logarithms of 1/x for discrete values of Q^2 between 0.2 and 2000 GeV^2, and compare these parametrizations by applying the criterion of…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. Desgrolard , L. Jenkovszky , A. Lengyel , F. Paccanoni

Higher-twist effects in the low-order moments of the longitudinal and transverse structure functions of proton and deuteron have been analyzed using available phenomenological fits of existing data in the Q**2 range between 1 and 20…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Ricco , S. Simula

It is shown that the previously noted extreme perturbative NNLO/NLO instability of the longitudinal structure function F_L(x,Q^2) is a mere artefact of the commonly utilized `standard' gluon distributions. In particular it is demonstrated…

High Energy Physics - Phenomenology · Physics 2014-11-18 M. Glück , C. Pisano , E. Reya

We report on a measurement of the proton structure function $F_2$ in the range $3.5\times10^{-5}\leq x \leq 4\times10^{-3}$ and 1.5 ${\rm GeV^2} \leq Q^2 \leq15$ ${\rm GeV^2}$ at the $ep$ collider HERA operating at a centre-of-mass energy…

High Energy Physics - Experiment · Physics 2012-08-27 The ZEUS Collaboration

Preliminary results on a measurement of the proton structure function F_2 are reported for momentum transfers squared Q^2 between 1.5~GeV^2 and 5000 GeV^2 and for Bjorken x between 5.10^{-5} and 0.32 using data collected by the HERA…

High Energy Physics - Experiment · Physics 2007-05-23 Gregorio Bernardi

We analyze the perturbative and parametric stability of the QCD predictions for the Callan-Gross ratio $R(x,Q^2)=F_L/F_T$ in heavy-quark leptoproduction. We consider the radiative corrections to the dominant photon-gluon fusion mechanism.…

High Energy Physics - Phenomenology · Physics 2009-03-24 N. Ya. Ivanov , B. A. Kniehl

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

We report on recent results on higher twist contributions to the unpolarized structure functions $F_2^{p,d}(x,Q^2)$ at N$^3$LO in the large $x$ region and constraints on the twist--3 contribution to polarized structure function…

High Energy Physics - Phenomenology · Physics 2012-07-16 Johannes Blümlein , Helmut Böttcher

We present the order $\alpha_s^2$ contributions to the coefficient functions corresponding to the longitudinal fragmentation function $F_L(x,Q^2)$. A comparison with the leading order $\alpha_s$ result for $F_L(x,Q^2)$ shows that the…

High Energy Physics - Phenomenology · Physics 2009-10-28 P. J. Rijken , W. L. van Neerven

The behaviour of the quark coefficient function for the longitudinal structure function F_L in deep-inelastic scattering is investigated for large values of the Bjorken variable x. We combine a highly plausible conjecture on the large-x…

High Energy Physics - Phenomenology · Physics 2009-11-19 S. Moch , A. Vogt

We investigate the unpolarized virtual photon structure functions $F_2^gamma(x,Q^2,P^2)$ and $F_L^gamma(x,Q^2,P^2)$ in perturbative QCD for the kinematical region $Lambda^2 ll P^2 ll Q^2$, where $-Q^2(-P^2)$ is the mass squared of the probe…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Ueda , K. Sasaki , T. Uematsu

A leading-twist factorization formula is derived for the longitudinal structure function in the x -->1 limit of deeply inelastic scattering. This is achieved by defining a new jet function which is gauge independent and probes the…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Akhoury , M. G. Sotiropoulos

The ZEUS and H1 collaborations have made the first direct measurements of the longitudinal proton structure function, FL, which is strongly correlated to the gluon density in the proton. The ZEUS collaboration have also extracted the…

High Energy Physics - Experiment · Physics 2009-05-29 Tim Namsoo

We compare new HERA data for the longitudinal structure function $F_{\rm L}$ with the predictions of different variants of the dipole model. In particular we show that the ratio $F_{\rm L}/F_2$ is well described by the dipole models and is…

High Energy Physics - Phenomenology · Physics 2015-10-29 Marek Niedziela , Michal Praszalowicz
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