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相关论文: On the Behaviour of Non--Singlet Structure Functio…

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We show that a unified approach to the perturbative evolution of structure functions which sums all logarithms of Q^2 and 1/x at leading and next-to-leading order yields results in full agreement with the 1993 HERA data for F_2. This makes…

高能物理 - 唯象学 · 物理学 2007-05-23 R. D. Ball , S. Forte

We consider the one-loop factorization of the simplest twist-three process: inclusive deep-inelastic scattering of longitudinally-polarized leptons on a transversely-polarized nucleon target. By studying the Compton amplitudes for certain…

高能物理 - 唯象学 · 物理学 2009-10-31 Xiangdong Ji , Wei Lu , Jonathan Osborne , Xiaotong Song

We investigate the basic features of the gluon density predicted by a renormalisation group improved small-x equation which incorporates both the gluon splitting function at leading collinear level and the exact BFKL kernel at…

高能物理 - 唯象学 · 物理学 2010-03-25 M. Ciafaloni , D. Colferai , G. P. Salam , A. M. Stasto

We construct an evolution equation for the pion wave function in the $k_T$ factorization theorem, whose solution sums the mixed logarithm $\ln x\ln k_T$ to all orders, with $x$ ($k_T$) being a parton momentum fraction (transverse momentum).…

高能物理 - 唯象学 · 物理学 2015-06-17 Hsiang-nan Li , Yue-Long Shen , Yu-Ming Wang

We calculate the O(alpha_s) radiative corrections to the three spin independent and five spin dependent structure functions that describe the angular decay distribution in the decay of a polarized top quark into a W-boson (followed by the…

高能物理 - 唯象学 · 物理学 2011-03-23 M. Fischer , S. Groote , J. G. Körner , M. C. Mauser

The Standard Approach (SA) for description of the structure function g_1 combines the DGLAP evolution equations and Standard Fits for the initial parton densities. The DGLAP equations describe the region of large Q^2 and large x, so there…

高能物理 - 唯象学 · 物理学 2007-07-13 B. I. Ermolaev , M. Greco , S. I. Troyan

We revisit the basic steps necessary to obtain next-to-leading-logarithmic accurate small-$x$ results for the DGLAP splitting functions, and their implementations within the HELL framework. We derive new analytical all-order results for the…

高能物理 - 唯象学 · 物理学 2026-03-04 Marco Bonvini , Stefano Frixione , Giovanni Stagnitto

We review recent developments in the theory and phenomenology of polarized structure functions. We summarize recent experimental data on the proton and deuteron structure function $g_1$, and their impact on the understanding of polarized…

高能物理 - 唯象学 · 物理学 2008-02-03 Stefano Forte

The modified evolution equation for parton distributions of Dokshitzer, Marchesini and Salam is extended to non-singlet Deep Inelastic Scattering coefficient functions and the physical evolution kernels which govern their scaling violation.…

高能物理 - 唯象学 · 物理学 2014-11-20 Georges Grunberg

We extend the class of factorization theorems for non-global observables from fixed angular constraints to cross sections defined in terms of sequential jet clustering. The associated hard and soft functions depend not only on the…

高能物理 - 唯象学 · 物理学 2023-10-02 Thomas Becher , Jürg Haag

QCD in non-integer $d=4-2\epsilon$ space-time dimensions enjoys conformal invariance at the special fine-tuned value of the coupling. Counterterms for composite operators in minimal subtraction schemes do not depend on $\epsilon$ by…

高能物理 - 唯象学 · 物理学 2019-03-27 V. M. Braun , A. N. Manashov , S. Moch , M. Strohmaier

The deep inelastic scattering data on the nucleon F_2 structure function, accumulated by BCDMS, SLAC and NMC collaborations in fixed-target experiments, are analyzed in the non-singlet approximation within the frameworks of both…

高能物理 - 唯象学 · 物理学 2024-03-21 A. V. Kotikov , B. G. Shaikhatdenov , N. S. Korchagin , P. Zhang

In this paper we introduce reproducing kernel Hilbert spaces of polyanalytic functions of infinite order. First we study in details the counterpart of the Fock space and related results in this framework. In this case the kernel function is…

复变函数 · 数学 2021-12-30 Daniel Alpay , Fabrizio Colombo , Kamal Diki , Irene Sabadini

We report on the first calculation of the structure function g_1 in polarised deep-inelastic scattering to the third order in massless perturbative QCD. The calculation follows the dispersive approach already used for the corresponding…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Vogt , S. Moch , M. Rogal , J. A. M. Vermaseren

We summarize our recent results on small x resummation in full QCD with n_f quark flavours and discuss their phenomenological impact in the extraction of parton distributions from present day structure function data and their extrapolation…

高能物理 - 唯象学 · 物理学 2009-04-14 Guido Altarelli , Richard D Ball , Stefano Forte

We discuss the large-x behaviour of the splitting functions P_qg and P_gq and of flavour-singlet coefficient functions, such as the gluon contributions C_2,g and C_L,g to the structure functions F_2,L, in massless perturbative QCD. These…

高能物理 - 唯象学 · 物理学 2010-12-13 A. Vogt , G. Soar , S. Moch , J. A. M. Vermaseren

We have studied the recently completed analytic all-N expressions for the four-loop anomalous dimensions corresponding to the next-to-next-to-next-to-leading order splitting functions for the non-singlet quark distribution in perturbative…

高能物理 - 唯象学 · 物理学 2026-05-06 S. Moch , A. Vogt

At the upper endpoint of the photon energy spectrum in Upsilon -> X gamma, the standard NRQCD power counting breaks down and the OPE gives rise to color-octet structure functions. Furthermore, in this kinematic regime large Sudakov…

高能物理 - 唯象学 · 物理学 2009-11-07 Christian W. Bauer , Cheng-Wei Chiang , Sean Fleming , Adam K. Leibovich , Ian Low

We calculate single-logarithmic corrections to the small-$x$ flavor-singlet helicity evolution equations derived recently in the double-logarithmic approximation. The new single-logarithmic part of the evolution kernel sums up powers of…

高能物理 - 唯象学 · 物理学 2022-04-08 Yuri V. Kovchegov , Andrey Tarasov , Yossathorn Tawabutr

We study the problem of describing the set of real functionals on the quotient $\textrm{Sym}/(p_2-1)$ of the ring of symmetric functions that are nonnegative on the images of certain modified Hall-Littlewood symmetric functions. This…

组合数学 · 数学 2026-04-14 Cesar Cuenca , Grigori Olshanski