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Making use of conformal symmetry of large-$n_f$ QCD in $d=4-2\epsilon$ dimensions at the Wilson-Fischer fixed point, we calculate the two-loop coefficient functions in the operator product expansion of two electromagnetic currents in…

高能物理 - 唯象学 · 物理学 2024-11-25 Vladimir M. Braun , Hua-Yu Jiang , Alexander N. Manashov , Andreas von Manteuffel

The infrared divergences of QCD scattering amplitudes can be derived from an anomalous dimension \Gamma, which is a matrix in color space and depends on the momenta and masses of the external partons. It has recently been shown that in…

高能物理 - 唯象学 · 物理学 2009-11-19 Andrea Ferroglia , Matthias Neubert , Ben D. Pecjak , Li Lin Yang

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…

高能物理 - 唯象学 · 物理学 2009-10-31 W. L. van Neerven , A. Vogt

The next-to-next-to-leading order (NNLO) non-singlet QCD analysis of the experimental data of the CCFR collaboration for the $xF_3$ and $F_2$ structure functions of the deep-inelastic scattering of neutrinos and antineutrinos on the nucleon…

高能物理 - 唯象学 · 物理学 2011-04-20 A. L. Kataev , A. V. Kotikov , G. Parente , A. V. Sidorov

The Adler sum rule for deep inelastic neutrino scattering measures the isospin of the nucleon and is hence exact. By contrast, the corresponding Gottfried sum rule for charged lepton scattering was based merely on a valence picture and is…

高能物理 - 唯象学 · 物理学 2015-06-25 D. J. Broadhurst , A. L. Kataev , C. J. Maxwell

We argue that the difference between the structure functions corresponding to deep inelastic scattering with and without heavy quarks in the current fragmentation region scales at high $Q^2$ and fixed (low) $x_{Bj}$. The lower bound on…

高能物理 - 唯象学 · 物理学 2011-01-25 A. V. Kisselev , V. A. Petrov

A previous calculation of electroweak O(alpha) corrections to deep-inelastic neutrino scattering, as e.g. measured by NuTeV and NOMAD, is supplemented by higher-order effects. In detail, we take into account universal two-loop effects from…

高能物理 - 唯象学 · 物理学 2009-11-11 K. -P. O. Diener , S. Dittmaier , W. Hollik

We perform a next-to-leading-order QCD analysis to world data on polarized structure functions $g_1$ and $g_2$ in a fixed-flavor number scheme. We include target mass corrections and higher twist effects in our fitting procedure and study…

高能物理 - 唯象学 · 物理学 2014-05-22 Sara Taheri Monfared , Zahra Haddadi , Ali N. Khorramian

The summary of the results of our next-to-next-to-leading fits of Tevatron experimental data for $xF_3$ structure function of the $\nu N$ deep-inelastic scattering is given. The special attention is paid to the extraction of twist-4…

高能物理 - 唯象学 · 物理学 2007-05-23 A. L. Kataev , G. Parente , A. V. Sidorov

We perform the analysis of the existing inclusive deep inelastic scattering (DIS) data within NNLO QCD approximation. The parton distributions functions (PDFs) and the value of strong coupling constant $\alpha_{s}(M_Z)=0.1143\pm0.0013…

高能物理 - 唯象学 · 物理学 2015-06-25 Alekhin Sergey

The theory of deep inelastic scattering structure functions is reviewed with an emphasis put on the QCD expectations of their behaviour in the region of small values of the Bjorken parameter $x$.

高能物理 - 唯象学 · 物理学 2007-05-23 J. Kwiecinski

The nucleon structure functions probed in deep-inelastic scattering at large virtualities form an important tool to test Quantum Chromdynamics (QCD) through precision measurements of the strong coupling constant $\alpha_s(M_Z^2)$ and the…

高能物理 - 唯象学 · 物理学 2015-06-11 Johannes Blümlein

Next-to-leading order QCD corrections, order 1 GeV mass corrections and the role of a strangeness asymmetry and isospin violation in the x dependence of the parton distribution functions are evaluated in the context of the neutrino-nucleon…

高能物理 - 唯象学 · 物理学 2009-11-10 M. H. Reno

We present the even-N moments N =< 20 of the fourth-order (N^3LO) contribution P_{gq}^(3)(x) to the quark-to-gluon splitting function in perturbative QCD. These moments, obtained by analytically computing off-shell operator matrix elements…

高能物理 - 唯象学 · 物理学 2024-04-16 G. Falcioni , F. Herzog , S. Moch , A. Pelloni , A. Vogt

In this paper we consider the matching coefficients up to two loops between Quantum Chromodynamics (QCD) and Non-Relativistic QCD (NRQCD) for the vector, axial-vector, scalar and pseudo-scalar currents. The structure of the effective theory…

高能物理 - 唯象学 · 物理学 2009-11-11 B. A. Kniehl , A. Onishchenko , J. H. Piclum , M. Steinhauser

We reanalyze deep inelastic scattering data of BCDMS Collaboration by including proper cuts of ranges with large systematic errors. We perform also the fits of high statistic deep inelastic scattering data of BCDMS, SLAC, NM and BFP…

高能物理 - 唯象学 · 物理学 2009-11-10 V. G. Krivokhijine , A. V. Kotikov

The numerical value of the fine-structure constant generally leads to small isospin-breaking effects due to electromagnetism in QCD. This smallness complicates determining isospin breaking from lattice QCD computations that include…

高能物理 - 格点 · 物理学 2017-06-07 Matthew E. Matzelle , Brian C. Tiburzi

We calculate the massless unpolarized Wilson coefficients for deeply inelastic scattering for the structure functions $F_2(x,Q^2), F_L(x,Q^2), x F_3(x,Q^2)$ in the $\overline{\sf MS}$ scheme and the polarized Wilson coefficients of the…

高能物理 - 唯象学 · 物理学 2022-12-14 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

Recently, Harlander et al.\ [Eur.\ Phys.\ J.\ C {\bf 78}, 944 (2018)] have computed the two-loop order (i.e., NNLO) coefficients in the gradient-flow representation of the energy--momentum tensor (EMT) in vector-like gauge theories. In this…

高能物理 - 格点 · 物理学 2019-12-06 Takumi Iritani , Masakiyo Kitazawa , Hiroshi Suzuki , Hiromasa Takaura

We study the evolution of the flavour non-singlet deep-inelastic structure functions F_{2,NS} and F_3 at the next-to-next-to-next-to-leading order (N^3LO) of massless perturbative QCD. The present information on the corresponding three-loop…

高能物理 - 唯象学 · 物理学 2009-11-07 W. L. van Neerven , A. Vogt