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We consider the singular behaviour of one-loop QCD matrix elements when several external partons become simultaneously parallel. We present a new factorization formula that describes the singular collinear behaviour directly in colour…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefano Catani , Daniel de Florian , German Rodrigo

We consider twist $J$ operators with spin $S$ in the $sl(2)$ sector of $\mathcal N=4$ SYM. The small spin expansion of their anomalous dimension defines the so-called slope functions. Much is known about the linear term, but the study of…

High Energy Physics - Theory · Physics 2015-06-19 Matteo Beccaria , Guido Macorini

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

In this study, we systematically calculate one-loop corrections to the Lorentz-violating vertices within the framework of CPT-odd Quantum Electrodynamics, encompassing scalar and photon fields in arbitrary gauge. Additionally, we ascertain…

High Energy Physics - Theory · Physics 2024-02-14 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

The two-loop invariant (running) coupling of QCD is written in terms of the Lambert W function. The analyticity structure of the coupling in the complex Q^2-plane is established. The corresponding analytic coupling is reconstructed via a…

High Energy Physics - Phenomenology · Physics 2016-12-28 B. Magradze

Jet broadening is an event-shape variable probing the transverse momenta of particles inside jets. It has been measured precisely in e+e- annihilations and is used to extract the strong coupling constant. The factorization of the associated…

High Energy Physics - Phenomenology · Physics 2015-05-27 Thomas Becher , Guido Bell , Matthias Neubert

We propose a factorized approach to QED radiative corrections for inclusive and semi-inclusive deep-inelastic scattering to systematically account for QED and QCD radiation contributions to both processes on equal footing. This is achieved…

High Energy Physics - Phenomenology · Physics 2021-12-01 Tianbo Liu , W. Melnitchouk , Jian-Wei Qiu , N. Sato

We present in detail a calculation of the next-to-leading order QCD corrections to the process $e^+e^-\to 3$ jets with massive quarks. To isolate the soft and collinear divergencies of the four parton matrix elements, we modify the phase…

High Energy Physics - Phenomenology · Physics 2009-10-30 Arnd Brandenburg , Peter Uwer

Returning to the old problems in ordinary QED, by an appropriate extension of the dimensional regularization method in noncommutative space we try to provide a quite coherent look into NCQED.The renormalisation of theories, the $\beta$…

High Energy Physics - Theory · Physics 2007-05-23 Nguyen Tien Binh

We present a set of one-loop integral coefficient relations in QCD. The unitarity method is useful for exposing one-loop amplitudes in terms of tree amplitudes. The coefficient relations are induced by tree-level BCJ amplitude relations. We…

High Energy Physics - Theory · Physics 2016-03-30 David Chester

I discuss one-loop QCD corrections to the forward backward asymmetry of the b-quark at LEP in a way appropriate to the present experimental procedure. I try to give insight into the structure of the corrections and elucidate some questions…

High Energy Physics - Phenomenology · Physics 2007-05-23 B. Lampe

We compute the inclusive jet spectrum in the presence of a dense QCD medium by going beyond the single parton energy loss approximation. We show that higher-order corrections are important yielding large logarithmic contributions that must…

High Energy Physics - Phenomenology · Physics 2019-03-05 Yacine Mehtar-Tani , Konrad Tywoniuk

We compute radiative corrections to $\Lambda_b \to \Lambda$ from factors, at next-to-leading logarithmic accuracy, from QCD light-cone sum rules with $\Lambda_b$-baryon distribution amplitudes. Employing the diagrammatic approach…

High Energy Physics - Phenomenology · Physics 2016-03-23 Yu-Ming Wang , Yue-Long Shen

We review progress in calculating one-loop scattering amplitudes required for next-to-leading-order corrections to QCD processes. The underlying technical developments include the spinor helicity formalism, color decompositions,…

High Energy Physics - Phenomenology · Physics 2010-11-15 Z. Bern , L. Dixon , D. A. Kosower

To predict the jet mass spectrum at a hadron collider it is crucial to account for the resummation of logarithms between the transverse momentum of the jet and its invariant mass $m_J$. For small jet areas there are additional large…

High Energy Physics - Phenomenology · Physics 2017-02-01 Daniel W. Kolodrubetz , Piotr Pietrulewicz , Iain W. Stewart , Frank J. Tackmann , Wouter J. Waalewijn

Resummation in QCD provides insight into the evolution of final state jets from short to long distances, and of accompanying interjet radiation. Applications to event shapes, including the recently-proposed angularities, suggest…

High Energy Physics - Phenomenology · Physics 2014-11-18 George Sterman

I present one-loop perturbative calculations of matching coefficients between matrix elements in continuum regulated QCD and lattice QCD with overlap fermions, with emphasis a recently-proposed variant discretization of the overlap. These…

High Energy Physics - Lattice · Physics 2016-09-01 Thomas DeGrand

Analytical calculation is presented of the QCD radiative corrections to the rate of the process $b\to c\tau\bar\nu_\tau$ and to the $\tau$ lepton longitudinal polarization in $\tau\bar\nu_\tau$ rest frame. The results are given in the form…

High Energy Physics - Phenomenology · Physics 2011-01-25 Andrzej Czarnecki , Marek Jezabek , Johann H. Kuhn

The jet shape is a classic jet substructure observable that probes the average transverse energy profile inside a reconstructed jet. The studies of jet shapes in proton-proton collisions have served as precision tests of perturbative…

High Energy Physics - Phenomenology · Physics 2015-06-19 Yang-Ting Chien , Ivan Vitev

Exact solution is obtained for electromagnetic field around a conducting cylinder of infinite length and finite radius, with a periodical axial current, when the wave length is much larger than the radius of the cylinder. The solution…

Astrophysics · Physics 2009-11-10 G. S. Bisnovatyi-Kogan