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The next-to-next-to-leading order (NNLO) corrections in massless perturbative QCD are derived for the parton distributions of the photon and the deep inelastic structure functions F_1^gamma and F_2^gamma. We present the full photonic…

高能物理 - 唯象学 · 物理学 2009-11-07 S. Moch , J. A. M. Vermaseren , A. Vogt

We recently derived an explicit expression for the gluon distribution function G(x, Q^2) = xg(x, Q^2) in terms of the proton structure function F_2^{\gamma p} (x, Q^2) in leading-order (LO) QCD by solving the the LO DGLAP equation for the…

高能物理 - 唯象学 · 物理学 2010-03-25 Martin M. Block , Loyal Durand , Douglas W. McKay

We present results for unpolarized and polarized semi-inclusive deep-inelastic scattering mediated by electroweak gauge bosons at next-to-next-to-leading order (NNLO) in perturbative quantum chromodynamics. The results include all relevant…

高能物理 - 唯象学 · 物理学 2026-04-01 Saurav Goyal , Sven-Olaf Moch , Vaibhav Pathak , V. Ravindran

A non--singlet QCD analysis of the structure function $F_2(x,q^2)$ in LO, NLO, NNLO and N$^3$LO is performed based on the world data for charged lepton scattering. We determine the valence quark parton densities and present their…

高能物理 - 唯象学 · 物理学 2016-09-06 Johannes Blümlein , Helmut Böttcher , Alberto Guffanti

Considering a fixed-flavor number scheme and based on laplace transdormation, we perform a leading-order and next-to-leading-order QCD analysis which are including world data on polarized structure functions $g_1$ and $g_2$. During our…

高能物理 - 唯象学 · 物理学 2023-03-28 Hoda Nematollahi , Abolfazl Mirjalili , Shahin Atashbar Tehrani

Using repeated Laplace transform techniques, along with newly-developed accurate numerical inverse Laplace transform algorithms, we transform the coupled, integral-differential NLO singlet DGLAP equations first into coupled differential…

高能物理 - 唯象学 · 物理学 2015-03-17 Martin M. Block , Loyal Durand , Phuoc Ha , Douglas W. McKay

The next-to-next-to-leading order (NNLO) QCD analysis of the revised experimental data of the CCFR collaboration for the $xF_3$ structure function of the deep-inelastic scattering of neutrinos and antinuetrinos on the nucleons is made by…

高能物理 - 唯象学 · 物理学 2015-06-25 A. L. Kataev , A. V. Kotikov , G. Parente , A. V. Sidorov

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

We compute the complete third-order contributions to the coefficient functions for the longitudinal structure function F_L, thus completing the next-to-next-to-leading order (NNLO) description of unpolarized electromagnetic deep-inelastic…

高能物理 - 唯象学 · 物理学 2010-04-05 S. Moch , J. A. M. Vermaseren , A. Vogt

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 have investigated the next-to-next-to-leading order (NNLO) corrections to inclusive hadron production in e^+e^- annihilation and the related parton fragmentation distributions, the `time-like' counterparts of the `space-like'…

高能物理 - 唯象学 · 物理学 2008-11-26 A. Mitov , S. Moch , A. Vogt

A new ''$\mathtt{SK24}$'' non-singlet QCD analysis of the structure functions at the NNLO approximation is performed, utilizing the global fit of the data from various charged lepton scattering experiments. We extract the valence parton…

高能物理 - 唯象学 · 物理学 2024-06-07 Javad Shahrzad , Ali Khorramian

We present a detailed phenomenological study of the next-to-next-to-leading order (NNLO) QCD corrections for $t$-channel single top (anti-)quark production and its semi-leptonic decay at the CERN Large Hadron Collider (LHC). We find the…

高能物理 - 唯象学 · 物理学 2020-04-02 Edmond L. Berger , Jun Gao , Hua Xing Zhu

An analytical solution of the QCD evolution equations for the singlet and gluon distribution is presented. We decouple DGLAP evolution equations into the initial conditions by using a Laplace transform method at $N^{n}LO$ analysis. The…

高能物理 - 唯象学 · 物理学 2019-05-13 B. Rezaei , G. R. Boroun

The polarized nucleon structure function in the nonsinglet case is investigated here by a new insight rather than conventional perturbative QCD (pQCD). For this purpose we note that the solution of the evolution equations in moment space…

高能物理 - 唯象学 · 物理学 2019-12-12 Leila Ghasemzadeh , Abolfazl Mirjalili , S. Atashbar Tehrani

Using Laplace transform techniques, along with newly-developed accurate numerical inverse Laplace transform algorithms, we decouple the solutions for the singlet structure function $F_s(x,Q^2)$ and $G(x,Q^2)$ of the two leading-order…

高能物理 - 唯象学 · 物理学 2010-04-12 Martin M. Block , Loyal Durand , Phuoc Ha , Douglas W. McKay

We have computed the complete next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of unpolarized parton densities in perturbative QCD. Our results agree with all partial results available in…

高能物理 - 唯象学 · 物理学 2009-11-10 S. Moch , J. A. M. Vermaseren , A. Vogt

We have analytically solved the LO pQCD singlet DGLAP equations using Laplace transform techniques. Newly-developed highly accurate numerical inverse Laplace transform algorithms allow us to write fully decoupled solutions for the singlet…

高能物理 - 唯象学 · 物理学 2015-03-17 Martin M. Block , Loyal Durand , Phuoc Ha , Douglas W. McKay

We extract polarized parton distribution functions (PPDFs), referred to as "KTA17," together with the highly correlated strong coupling $\alpha_s$ from recent and up-to-date $g_1$ and $g_2$ polarized structure functions world data at…

高能物理 - 唯象学 · 物理学 2017-04-07 Hamzeh Khanpour , Sara Taheri Monfared , S. Atashbar Tehrani

The semi-inclusive production of identified hadrons in deeply inelastic lepton scattering on polarized nucleons allows to probe the spin structure of the nucleon target in a more detailed level than through fully inclusive processes. We…

高能物理 - 唯象学 · 物理学 2025-10-02 Leonardo Bonino , Thomas Gehrmann , Markus Löchner , Kay Schönwald , Giovanni Stagnitto