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Correlation functions of Wilson lines are relevant for describing the infrared structure of scattering amplitudes. We develop a new method for evaluating a wide class of such Wilson line integrals, and apply it to the calculation of the…

High Energy Physics - Theory · Physics 2015-06-15 Johannes M. Henn , Tobias Huber

In this paper, we discuss the factorization of the Sudakov form factor on the Coulomb branch of maximally supersymmetric Yang-Mills theory in the near mass-shell limit. We unravel all pinch singularities of this observable making use of the…

High Energy Physics - Theory · Physics 2024-09-11 A. V. Belitsky , L. V. Bork , V. A. Smirnov

In this thesis we present an introduction to Soft-Collinear Effective Theory, which can be used to prove (or disprove) factorization theorems to all orders in the strong coupling constant for some B decays into light and energetic…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bjorn O Lange

QCD amplitudes are one of the most important ingredients for the understanding of the early universe. In this work we present how the knowledge of the asymptotic states can be used to calculate the scattering amplitude of the underline QCD…

High Energy Physics - Theory · Physics 2022-12-02 Andriniaina Narindra Rasoanaivo

The soft radiation emitted in jet cross sections can resolve the directions and colors of individual hard partons, leading to a complicated pattern of logarithmically enhanced terms in the perturbative series. Starting from a factorization…

High Energy Physics - Phenomenology · Physics 2022-09-07 Thomas Becher , Thomas Rauh , Xiaofeng Xu

The analytic study of differential cross sections in QCD has typically focused on individual observables, such as mass or thrust, to great success. Here, we present a first study of double differential jet cross sections considering two…

High Energy Physics - Phenomenology · Physics 2015-06-18 Andrew J. Larkoski , Ian Moult , Duff Neill

As recently shown, the a-anomaly of the UV fixed point of 4d quantum field theories, can be constrained by studying scattering amplitudes. The basic idea is to couple the QFT to a dilaton and impose unitarity of the scattering amplitudes of…

High Energy Physics - Theory · Physics 2023-07-14 Jan K. Marucha

Factorization properties of one-loop gauge theory amplitudes have been used as checks on explicitly computed amplitudes and in the construction of ansatze for higher-point ones. In massless theories, such as QCD at high energies, infrared…

High Energy Physics - Phenomenology · Physics 2010-04-06 Z. Bern , G. Chalmers

We apply the soft-collinear effective theory (SCET) to deep inelastic scattering near the endpoint region. The forward scattering amplitude, and the structure functions are shown to factorize as a convolution of the Wilson coefficients, the…

High Energy Physics - Phenomenology · Physics 2008-11-26 Junegone Chay , Chul Kim

We examine the uncertainty of perturbative QCD factorization for hadron structure functions in deep inelastic scattering at a large value of the Bjorken variable xB. We analyze the target mass correction to the structure functions by using…

High Energy Physics - Phenomenology · Physics 2014-11-18 Alberto Accardi , Jian-Wei Qiu

We estimate the potential size of the weak annihilation amplitudes in QCD factorization as allowed by experimental data. To achieve this goal, we establish a connection between the amplitudes in the QCD factorization and the so-called…

High Energy Physics - Phenomenology · Physics 2022-04-08 Tobias Huber , Gilberto Tetlalmatzi-Xolocotzi

We derive a factorization theorem that allows for resummation of small-$x$ logarithms by exploiting Glauber operators in the soft collinear effective field theory. Our analysis is carried out for the hadronic tensor $W^{\mu\nu}$ in deep…

High Energy Physics - Phenomenology · Physics 2023-03-27 Duff Neill , Aditya Pathak , Iain Stewart

We consider the radiation of three soft gluons in a generic process for multiparton hard scattering in QCD. In the soft limit the corresponding scattering amplitude has a singular behaviour that is factorized and controlled by a colorful…

High Energy Physics - Phenomenology · Physics 2022-07-06 Dimitri Colferai

I discuss the state-of-the-art knowledge of long-distance singularities in multi-leg gauge-theory scattering amplitudes and report on an on-going calculation of the three-loop soft anomalous dimension through the renormalization of…

High Energy Physics - Phenomenology · Physics 2014-07-22 Einan Gardi

We calculate and analize the ${\cal{O}}(\alpha_s)$ one-particle inclusive cross section in polarized deep inelastic lepton-hadron scattering, using dimensional regularization and the HVBM prescription for $\gamma_5$. We discuss the…

High Energy Physics - Phenomenology · Physics 2009-10-28 D. de Florian , C. A. Garcia Canal , R. Sassot

We propose and discuss a new approach to the analysis of the correlation functions which contain light-like Wilson lines or loops, the latter being cusped in addition. The objects of interest are therefore the light-like Wilson…

High Energy Physics - Phenomenology · Physics 2013-03-12 I. O. Cherednikov , T. Mertens , F. F. Van der Veken

We derive a factorization formula for boosted double resonant top-antitop pair production in $e^+e^-$ annihilation with a semileptonic top quark decay in the phase space region where the $b$-jet invariant mass is small. The decaying top…

High Energy Physics - Phenomenology · Physics 2026-02-11 Andre H. Hoang , Christoph Regner

I demonstrate that the amplitude for high-energy scattering can be factorized as a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge factors…

High Energy Physics - Phenomenology · Physics 2014-11-17 Ian Balitsky

Since the x dependence of the axial-anomaly effect in inclusive polarized deep inelastic scattering is fixed, the transformation from the $\bar{MS}$ scheme to different factorization schemes are not arbitrary. If the quark spin distribution…

High Energy Physics - Phenomenology · Physics 2009-10-30 Hai-Yang Cheng

I demonstrate that the amplitude of the high-energy scattering can be factorized in a convolution of the contributions due to fast and slow fields. The fast and slow fields interact by means of Wilson-line operators -- infinite gauge…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ian Balitsky