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Related papers: The spin-dependent two-loop splitting functions

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We report on new results of the spin dependent structure functions $g_1$ and $h_1$ of the nucleon. An attempt is made to convert the moments, which is what one computes on the lattice, to quark distribution functions.

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Göckeler , R. Horsley , H. Perlt , P. Rakow , G. Schierholz , A. Schiller , P. Stephenson

For piecewise-smooth differential systems, in this paper we focus on crossing limit cycles and sliding loops bifurcating from a grazing loop connecting one high multiplicity tangent point. For the low multiplicity cases considered in…

Dynamical Systems · Mathematics 2025-03-17 Zhihao Fang , Xingwu Chen

We consider the interaction of the partonic fluctuation of a scalar ``photon'' with an external color field to calculate the leading and next-to-leading order gluon distribution of the proton following the work done by…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. -J. Pirner , A. I. Shoshi , G. Soyez

In the previous paper hep-th/0604112 we calculated the first of the five planar two-loop diagrams for the Lcc vertex of the general non-Abelian Yang-Mills theory, the vertex which allows us in principle to obtain all other vertices via the…

High Energy Physics - Theory · Physics 2025-09-05 Gorazd Cvetic , Igor Kondrashuk

We present a Next-to-Leading order perturbative QCD analysis of world data on the spin dependent structure functions $g_1^p, g_1^n$, and $g_1^d$, including the new experimental information on the $Q^2$ dependence of $g_1^n$. Careful…

High Energy Physics - Phenomenology · Physics 2008-11-26 The SLAC E154 Collaboration , K. Abe

We construct a worldline path integral for the effective action and propagator of a Dirac field in 2+1 dimensions in an Abelian gauge field background. Integrating over an auxiliary gauge group variable we derive a worldline action…

High Energy Physics - Theory · Physics 2008-11-26 C. D. Fosco , J. Sanchez-Guillen , R. A. Vazquez

Many calculations in strong field quantum field theory are carried out by using a simple field geometry, often neglecting the spacial field envelope. In this article, we simulate the electron diffraction quantum dynamics of the…

Quantum Physics · Physics 2024-02-29 Ping Ge , Sven Ahrens , Baifei Shen

The two terminal conductance for two dimensional systems is calculated in the presence of the spin-orbit scattering. The level statistics of the transmission eigenvalue is shown to be sensitive to the asymmetry of the spin population in the…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 M. Yamamoto , T. Ohtsuki , K. Slevin

The Wilson Coefficients for all 4-parton operators which arise in matching QCD to Soft-Collinear Effective Theory (SCET) are computed at 1-loop. Any dijet observable calculated in SCET beyond leading order will require these results. The…

High Energy Physics - Phenomenology · Physics 2012-04-18 Randall Kelley , Matthew D. Schwartz

We present a comprehensive theory of the circularly polarized luminescence and its dependence on strain in spin-polarized Si and Ge. Symmetries of wavefunctions and interactions are used to derive concise ratios between intensities of the…

Materials Science · Physics 2013-03-12 Pengke Li , Dhara Trivedi , Hanan Dery

We calculate the next-to-leading order QCD corrections to the spin-dependent cross section for single-inclusive hadron production in hadronic collisions. This process will be soon studied experimentally at RHIC, providing a tool to unveil…

High Energy Physics - Phenomenology · Physics 2009-11-07 Daniel de Florian

In this work, we compute one-loop planar five-point functions in $\mathcal{N}$=4 super-Yang-Mills using integrability. As in the previous work, we decompose the correlation functions into hexagon form factors and glue them using the weight…

High Energy Physics - Theory · Physics 2018-04-04 Thiago Fleury , Shota Komatsu

We compute the Schroedinger functional (SF) for the case of pure SU(3) gauge theory at two-loop order in lattice perturbation theory. This allows us to extract the three-loop beta-function in the SF-scheme. These results are required to…

High Energy Physics - Lattice · Physics 2009-10-31 A. Bode , P. Weisz , U. Wolff

We calculate the generalized soft functions at $\mathcal{O}(\alpha_s^2)$ at next-to-leading power accuracy for the Drell-Yan process at threshold. The operator definitions of these objects contain explicit insertions of soft gauge and…

High Energy Physics - Phenomenology · Physics 2021-10-27 Alessandro Broggio , Sebastian Jaskiewicz , Leonardo Vernazza

We compute the twist-2 matching of the transverse-momentum-dependent (TMD) linearly polarized gluon parton distribution and fragmentation functions at next-to-next-to-next-to-leading order (N$^3$LO) in QCD, supplemented by…

High Energy Physics - Phenomenology · Physics 2026-04-07 Yu Jiao Zhu

An analytic formula is given for the total scattering cross section of an electron and a photon at order $\alpha^3$. This includes both the double-Compton scattering real-emission contribution as well as the virtual Compton scattering part.…

High Energy Physics - Phenomenology · Physics 2021-06-18 Roman N. Lee , Matthew D. Schwartz , Xiaoyuan Zhang

New experimental results on the spin dependent structure functions g_1 and g_2 which are determined from deep-inelastic scattering experiments at CERN, SLAC and DESY are reported. These results are used to evaluate the Bjorken sum rule and…

High Energy Physics - Phenomenology · Physics 2008-02-03 J. Nassalski

The structure of the two-point QCD Green-functions is studied in this note in the limit of large number of colours. Their general form at next-to-leading order in 1/Nc is derived keeping the infinite resonance summation and without relying…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. J. Sanz-Cillero

Using magnetocapacitance data in tilted magnetic fields, we directly determine the chemical potential jump in a strongly correlated two-dimensional electron system in silicon when the filling factor traverses the spin and the cyclotron…

Strongly Correlated Electrons · Physics 2007-05-23 V. S. Khrapai , A. A. Shashkin , V. T. Dolgopolov

A leading-power factorization formula for weight functions relating the B to Xs gamma photon spectrum to arbitrary partial decay rates in B to Xu l nu is derived. These weight functions are independent of the hadronic shape function and…

High Energy Physics - Phenomenology · Physics 2009-11-11 Bjorn O Lange