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We present the results of the next-to-next-to-leading order QCD analysis of the recently revised experimental data of the CCFR collaboration for the $xF_3$ structure function using the Jacobi polynomial expansion method. The effects of the…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. L. Kataev , A. V. Kotikov , G. Parente , A. V. Sidorov

Fully differential heavy quark contributions to the photon structure functions in deeply inelastic scattering are computed in next-to-leading order QCD, including both the direct and resolved contributions. A variety of distributions are…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. W. Harris , J. F. Owens

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

We calculate the leading $1/N_f$ perturbative contributions to the polarized nonsinglet structure functions $g_3$ and $g_5$ to all orders in $\alpha_s$. The contributions from the first renormalon pole are determined. It is a measure for…

High Energy Physics - Phenomenology · Physics 2009-10-31 Benedikt Lehmann-Dronke , Andreas Schäfer

We study the next-to-next-to-leading order (NNLO) evolution of flavour singlet parton densities and structure functions in massless perturbative QCD. Present information on the corresponding three-loop splitting functions is used to derive…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. L. van Neerven , A. Vogt

Compton scattering is a fundamental process in QED with broad applications, yet its theoretical description at high energies is challenged by substantial next-to-leading order (NLO) corrections arising from double-logarithmic enhancements.…

High Energy Physics - Phenomenology · Physics 2025-11-13 Hai Tao Li , Yan-Qing Ma , Cheng-Tai Tan , Jian Wang , Hong-Fei Zhang

We perform a perturbative QCD analysis of the nucleon's Pauli form factor $F_2(Q^2)$ in the asymptotically large $Q^2$ limit. We find that the leading contribution to $F_2(Q^2)$ has a $1/Q^6$ power behavior, consistent with the well-known…

High Energy Physics - Phenomenology · Physics 2009-11-07 Andrei V. Belitsky , Xiangdong Ji , Feng Yuan

We study the impact of next-to-next-to-leading order (NNLO) QCD corrections on partial decay rates in B --> X_u l nu decays, at leading-order in the 1/m_b expansion for shape-function kinematics. These corrections are implemented within a…

High Energy Physics - Phenomenology · Physics 2010-02-11 C. Greub , M. Neubert , B. D. Pecjak

We compute the order $\alpha_s^2$ quark initiated corrections to semi-inclusive deep inelastic scattering extending the approach developed recently for the gluon contributions. With these corrections we complete the order $\alpha_s^2$ QCD…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Daleo , R. Sassot

The QCD structure of the electron is defined and calculated. The leading order splitting functions are extracted, showing an important contribution from $\gamma$-$Z$ interference. Leading logarithmic QCD evolution equations are constructed…

High Energy Physics - Phenomenology · Physics 2009-10-28 Wojciech Slominski , Jerzy Szwed

We present the analytic next-to-next-to-leading perturbative QCD corrections in the leading twist approximation for the moments N=2,4,6,8 of the flavour singlet deep inelastic structure functions F_2 and F_L. We calculate the three-loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. A. Larin , P. Nogueira , T. van Ritbergen , J. A. M. Vermaseren

We investigate the next-to-next-to-leading order (NNLO) QCD radiative corrections to the pion electromagnetic form factor with large momentum transfer. We explicitly verify the validity of the collinear factorization to two-loop order for…

High Energy Physics - Phenomenology · Physics 2024-08-01 Long-Bin Chen , Wen Chen , Feng Feng , Yu Jia

We use the recent estimates of NNLO splitting functions, made by van Neerven and Vogt, to perform exploratory fits to deep inelastic and related hard scattering data. We investigate the hierarchy of parton distributions obtained at LO, NLO…

High Energy Physics - Phenomenology · Physics 2011-09-13 A. D. Martin , R. G. Roberts , W. J. Stirling , R. S. Thorne

The ${\cal O} (\alpha^3)$ leading logarithmic contribution to the QED radiator in the additive form is considered. The effect of the correction on two-fermion physics at LEP1 and LEP2 is evaluated and critically compared with the one of…

High Energy Physics - Phenomenology · Physics 2009-10-30 G. Montagna , O. Nicrosini , F. Piccinini

By working in QED, we obtain the electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron at the next-to-leading logarithmic accuracy. The PDFs account for all of the universal effects of initial-state…

High Energy Physics - Phenomenology · Physics 2022-07-26 V. Bertone , M. Cacciari , S. Frixione , G. Stagnitto

We show how perturbation theory may be reorganized to give splitting functions which include order by order convergent sums of all leading logarithms of $x$. This gives a leading twist evolution equation for parton distributions which sums…

High Energy Physics - Phenomenology · Physics 2014-11-17 R. D. Ball , S. Forte

The analysis of event shape variables enable studies of QCD and determinations of alpha-s, but require predictions to next-to-leading order. The predictions of two next-to-leading order programs are compared for current jet thrust, current…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. J. McCance

QCD resummation predictions for the production of new charged ($W'$) and neutral ($Z'$) heavy gauge bosons decaying leptonically are presented. These results are obtained with our resummation code at next-to-leading order and…

High Energy Physics - Phenomenology · Physics 2016-08-08 Tomáš Ježo , Michael Klasen , David R. Lamprea , Florian Lyonnet , Ingo Schienbein

We generalise the factorization of abelian gauge theory amplitudes to next-to-leading power (NLP) in a soft scale expansion, following a recent generalisation for Yukawa theory. From an all-order power counting analysis of leading and…

High Energy Physics - Phenomenology · Physics 2021-03-01 E. Laenen , J. Sinninghe Damsté , L. Vernazza , W. Waalewijn , L. Zoppi

The structure function of the proton has been investigated and has been found to possess the power law behaviour in conformity with the empirical fits to the experimental findings. We have estimated F$_{2}$(x, Q$^{2}$)/F$_{2}$(x,…

High Energy Physics - Phenomenology · Physics 2013-09-05 A. Bhattacharya , S. N. Banerjee , B. Chakraborti , S. Banerjee
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