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We present an analytic reconstruction of one-loop amplitudes for the process $0 \to \bar{q}qt\bar{t}H$. Our calculation is a novel use of analytic reconstruction, retaining explicit covariance in the massive spin states through the massive…

High Energy Physics - Phenomenology · Physics 2025-07-28 John M. Campbell , Giuseppe De Laurentis , R. Keith Ellis

We demonstrate the QCD factorization for inclusive hadron production in $pA$ collisions in the saturation formalism at one-loop order, with explicit calculation of both real and virtual gluon radiation diagrams. The collinear divergences…

High Energy Physics - Phenomenology · Physics 2013-05-30 Giovanni A. Chirilli , Bo-Wen Xiao , Feng Yuan

We calculate the unpolarized twist-2 three-loop splitting functions $P_{qg}^{(2)}(x)$ and $P_{gg}^{(2,\rm N_F)}(x)$ and the associated anomalous dimensions using massive three-loop operator matrix elements. While we calculate…

High Energy Physics - Phenomenology · Physics 2017-08-23 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider

We employ relations between spacelike and timelike deep-inelastic processes in perturbative QCD to calculate the next-to-next-to-leading order (NNLO) contributions to the timelike quark-quark and gluon-gluon splitting functions for the…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Moch , A. Vogt

We discuss the application of an analytic approach called the analytic perturbation theory (APT) to the QCD analysis of DIS data. In particular, the results of the QCD analysis of a set of `fake' data on the polarized nonsinglet Delta{q3}…

High Energy Physics - Phenomenology · Physics 2015-01-16 A. V. Sidorov , O. P. Solovtsova

Using the recently obtained Pgq splitting function we extend the low x evolution equation for gluons to account for contributions originating from quark-to-gluon splitting. In order to write down a consistent equation we resum virtual…

High Energy Physics - Phenomenology · Physics 2016-12-21 M. Hentschinski , A. Kusina , K. Kutak

We compute the two-loop QED corrections to the Altarelli-Parisi (AP) splitting functions by using a deconstructive algorithmic Abelianization of the well-known NLO QCD corrections. We present explicit results for the full set of splitting…

High Energy Physics - Phenomenology · Physics 2017-11-15 Daniel de Florian , German F. R. Sborlini , German Rodrigo

In this thesis, the infrared structure of squared matrix elements in quantum chromodynamics (QCD) is scrutinised. Specifically, the triple-collinear splitting functions are decomposed and improvements to antenna subtraction are sought…

High Energy Physics - Phenomenology · Physics 2024-02-14 Oscar Braun-White

This talk discusses the effective field theory view of deep inelastic scattering. In such an approach, the standard factorization formula of a hard coefficient multiplied by a parton distribution function arises from matching of QCD onto an…

High Energy Physics - Phenomenology · Physics 2014-11-21 Gil Paz

We define a general scheme for the evolution of fragmentation functions which resums both soft gluon logarithms and mass singularities in a consistent manner and to any order, and requires no additional theoretical assumptions. Using the…

High Energy Physics - Phenomenology · Physics 2010-03-25 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

We present a reciprocal space technique for the calculation of the Coulomb integral in two dimensions in systems with reduced periodicity, i.e., finite systems, or systems that are periodic only in one dimension. The technique consists in…

Other Condensed Matter · Physics 2009-10-09 Alberto Castro , Esa Rasanen , Carlo Andrea Rozzi

In the lattice QCD formalism, we derive a gauge-invariant analytical relation connecting the Polyakov loop and the Dirac modes on a temporally odd-number lattice, where the temporal lattice size is odd, with the normal (nontwisted) periodic…

High Energy Physics - Lattice · Physics 2013-11-20 Takahiro M. Doi , Hideo Suganuma , Takumi Iritani

Generation of T-odd single spin asymmetries (SSA) by the various ingredients of QCD factorization is discussed. The possible use of SSA in studies of Generalized Parton Distribution (GPD) at HERA with the polarized lepton beam is suggested.…

High Energy Physics - Phenomenology · Physics 2008-11-26 O. V. Teryaev

We propose an approach to determine the continual progression of algorithmic efficiency, as an alternative to standard calculations of time complexity, likely, but not exclusively, when dealing with data structures with unknown maximum…

Computational Complexity · Computer Science 2020-12-04 Ananth Goyal

A non-perturbative expansion method which gives a well-defined analytic continuation of the running coupling constant from the spacelike to the timelike region is applied to the inclusive semileptonic decay of the $\tau$--lepton. The method…

High Energy Physics - Phenomenology · Physics 2009-10-28 H. F. Jones , I. S. Solovtsov , O. P. Solovtsova

The running of the QCD coupling is incorporated into the infrared evolution equations for the flavour structure function g_1. The explicit expressions for g_1 including the total resummation of the double-logarithmic contributions and…

High Energy Physics - Phenomenology · Physics 2008-11-26 B. I. Ermolaev , M. Greco , S. I. Troyan

We apply analytic perturbation theory to the QCD analysis of the xF_3 structure function data of the CCFR collaboration. We use different approaches for the leading order Q^2 evolution of the xF_3 structure function and compare the…

High Energy Physics - Phenomenology · Physics 2013-12-12 A. V. Sidorov , O. P. Solovtsova

A NNLO analysis of certain logarithmic expansions, developed for precision studies of the evolution of the QCD parton distributions (pdf) at the Large Hadron Collider, is presented. We elaborate on their relations to all the solutions of…

High Energy Physics - Phenomenology · Physics 2010-03-25 Alessandro Cafarella , Claudio Coriano' , Marco Guzzi

We study chiral-odd quark-antiquark correlation functions suitable for lattice calculations of twist-three nucleon parton distribution functions $h_L(x)$ and $e(x)$, and also the twist-two transversity distribution $\delta q(x)$. The…

High Energy Physics - Phenomenology · Physics 2021-10-15 Vladimir M. Braun , Yao Ji , Alexey Vladimirov

New methods of solutions of the DGLAP equation and their implementation through NNLO in QCD are briefly reviewed. We organize the perturbative expansion that describes in $x$-space the evolved parton distributions in terms of scale…

High Energy Physics - Phenomenology · Physics 2008-12-30 Alessandro Cafarella , Claudio Coriano , Marco Guzzi
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