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

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We present a brief description of the light-cone gauge calculation of the spin-dependent next-to-leading order splitting functions.

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Vogelsang

We present a brief description of the determination of the two-loop spin-dependent time-like splitting functions relevant for the NLO evolution of polarized fragmentation functions. Our calculation based on the analytic continuation of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Stratmann

We present calculations of next-to-leading order QCD splitting functions, employing the light-cone gauge method of Curci, Furmanski, and Petronzio (CFP). In contrast to the `principal-value' prescription used in the original CFP paper for…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Bassetto , G. Heinrich , Z. Kunszt , W. Vogelsang

We present the calculation of the two-loop spin splitting functions $P_{ij}^{(1)}(x)\; (i,j = q,g)$ contributing to the next-to-leading order corrected spin structure function $g_1(x,Q^2)$. These splitting functions, which are presented in…

High Energy Physics - Phenomenology · Physics 2018-05-18 R. Mertig , W. L. van Neerven

We compute the next-to-leading order QCD corrections to the ``direct'' part of the spin-dependent cross section for hadron-pair photoproduction. The calculation is performed using largely analytical methods. We present a brief…

High Energy Physics - Phenomenology · Physics 2008-11-26 Christof Hendlmeier , Andreas Schafer , Marco Stratmann

I will give an overview on fragmentation functions with particular emphasis on spin-dependence. A straightforward classification scheme permits to label all independent fragmentation functions for a given physical situation in an…

High Energy Physics - Phenomenology · Physics 2009-11-07 Rainer Jakob

A simple formula for one-loop logarithmic divergences on the background of a two-dimensional curved space-time is derived for theories for which the second variation of the action is a nonminimal second order operator with small nonminimal…

High Energy Physics - Theory · Physics 2016-07-20 H. P. Popova , K. V. Stepanyantz

Next-to-leading order corrections to fragmentation functions in a light-cone gauge are discussed. This gauge simplifies the calculation by eliminating many Feynman diagrams at the expense of introducing spurious poles in loop integrals. As…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jungil Lee

We calculate the next-to-leading order perturbative QCD corrections to the transverse momentum weighted single transverse spin asymmetry in Drell-Yan lepton pair production in hadronic collisions. We identify the splitting function relevant…

High Energy Physics - Phenomenology · Physics 2009-07-30 Werner Vogelsang , Feng Yuan

The short-distance coefficients for the color-octet ^3S_1 term in the fragmentation function for a gluon to split into polarized heavy quarkonium states are re-calculated to order alpha_s^2. The light-cone gauge remarkably simplifies the…

High Energy Physics - Phenomenology · Physics 2009-11-11 Jungil Lee

We perform a new calculation of the polarized next-to-leading order splitting functions, using the method developed by Curci, Furmanski and Petronzio. We confirm the results of the recent calculation by Mertig and van Neerven.

High Energy Physics - Phenomenology · Physics 2014-11-17 W. Vogelsang

We present the first calculation of the next-to-next-to-leading order threshold soft function for top quark pair production at hadron colliders, with full velocity dependence of the massive top quarks. Our results are fully analytic, and…

High Energy Physics - Phenomenology · Physics 2018-07-04 Guoxing Wang , Xiaofeng Xu , Li Lin Yang , Hua Xing Zhu

We compute the beta functions of the three Standard Model gauge couplings to four-loop order in the modified minimal subtraction scheme. At this order a proper definition of $\gamma_5$ in $D=4-2\epsilon$ space-time dimensions is required;…

High Energy Physics - Phenomenology · Physics 2020-02-26 Joshua Davies , Florian Herren , Colin Poole , Matthias Steinhauser , Anders Eller Thomsen

In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zvi Bern , Vittorio Del Duca , William B. Kilgore , Carl R. Schmidt

We perform a two-loop calculation in Light Cone Perturbation Theory (LCPT) to evaluate the next-to-leading order nonsinglet splitting function. Our calculation demonstrates the methodology and feasibility of performing higher order…

High Energy Physics - Phenomenology · Physics 2026-01-16 Tuomas Lappi , Risto Paatelainen , Mikko Seppälä

We describe the perturbative calculation of the transverse parton distribution functions in all partonic channels up to next-to-next-to-leading order based on a gauge invariant operator definition. We demonstrate the cancellation of…

High Energy Physics - Phenomenology · Physics 2022-02-08 Thomas Gehrmann , Thomas Luebbert , Li Lin Yang

We accomplish for the first time the two-loop computation of the leading-twist contribution to the pion electromagnetic form factor by employing the effective field theory formalism rigorously. The next-to-next-to-leading-order…

High Energy Physics - Phenomenology · Physics 2024-11-07 Yao Ji , Bo-Xuan Shi , Jian Wang , Ye-Fan Wang , Yu-Ming Wang , Hui-Xin Yu

We report on the status of a direct computation of the time-like splitting functions at next-to-next-to-leading order in QCD. Time-like splitting functions govern the collinear kinematics of inclusive hadron production and the evolution of…

High Energy Physics - Phenomenology · Physics 2015-10-28 Oleksandr Gituliar , Sven Moch

We report on the status an ab initio computation of the time-like splitting functions at next-to-next-to-leading order in QCD. Time-like splitting functions govern the collinear kinematics of inclusive hadron production in $e^+e^-$…

High Energy Physics - Phenomenology · Physics 2016-01-15 O. Gituliar

We present a dispersion relation formalism to calculate a massive scalar two-loop vertex function. Such calculation is of direct relevance in the evaluation of the hadronic light-by-light contribution to the muon's anomalous magnetic moment…

High Energy Physics - Phenomenology · Physics 2014-11-13 Vladyslav Pauk , Marc Vanderhaeghen
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