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Theoretical predictions for scattering processes with multi-particle final states at next-to-leading order (NLO) in perturbative QCD are essential to fully exploit the physics potential of present and future high-energy colliders. The…

High Energy Physics - Phenomenology · Physics 2012-02-28 Nikolas Kauer

Infrared divergences obscure important analytic properties of scattering amplitudes, indicating gaps in our understanding of unitarity, causality, and crossing symmetry in theories with long-range forces. Using the exactly solvable model of…

High Energy Physics - Theory · Physics 2025-05-09 Luke Lippstreu

The production of two-jet final states in deep inelastic scattering is an important QCD precision observable. We compute it for the first time to next-to-next-to-leading order (NNLO) in perturbative QCD. Our calculation is fully…

High Energy Physics - Phenomenology · Physics 2016-07-27 James Currie , Thomas Gehrmann , Jan Niehues

The renormalization-group improved finite order expansions of the QCD observables have an unphysical singularity in the Euclidean region, due to the Landau pole of the running coupling. Recently it was claimed that, by using a modified…

High Energy Physics - Phenomenology · Physics 2007-05-23 Irinel Caprini , Jan Fischer

We study infrared QCD effects in radiative quarkonia decays. We examine the endpoint region z -> 1 of the photon spectrum. We point out a cancellation mechanism for the corrections in $\alpha_s^n \ln^{m} (1-z)$, $m \leq 2 n$, in the…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Hautmann

We calculate the one-loop QCD virtual corrections to all helicity amplitudes for parton level virtual Compton scattering processes. We include the amplitudes both on quark target process $\gamma^* q\to\gamma q$ and on gluon target process…

High Energy Physics - Phenomenology · Physics 2009-11-10 H. W. Huang , T. Morii

The construction of integrands free of infrared and ultraviolet singularities may enable the application of numerical methods to evaluate loop amplitudes that are inaccessible with analytic techniques. At two loops, finite amplitude…

High Energy Physics - Phenomenology · Physics 2025-09-10 Charalampos Anastasiou , Julia Karlen , Roshni Sahoo , George Sterman , Matilde Vicini

We report on our current progress in the study of finite one-loop radiative corrections in the minimal Lorentz- and CPT-violating QED extension.

High Energy Physics - Phenomenology · Physics 2017-08-23 Daniel H. T. Franco , André H. Gomes

We derive the hard functions for all 2->2 processes in massless QCD up to next-to-next-to-leading order (NNLO) in the strong coupling constant. By employing the known one- and two-loop helicity amplitudes for these processes, we obtain…

High Energy Physics - Phenomenology · Physics 2015-06-22 Alessandro Broggio , Andrea Ferroglia , Ben D. Pecjak , Zhibai Zhang

We present the first fully analytic calculation of the Quantum Chromodynamics (QCD) event shape observable Energy-Energy Correlation in electron-positron annihilation at Next-To-Leading Order (NLO). This result sheds light on the analytic…

High Energy Physics - Phenomenology · Physics 2018-07-20 Lance J. Dixon , Ming-xing Luo , Vladyslav Shtabovenko , Tong-Zhi Yang , Hua Xing Zhu

We present a brief overview of fractional analytic QCD.

High Energy Physics - Phenomenology · Physics 2023-11-06 A. V. Kotikov , I. A. Zemlyakov

In order to numerically compute scattering cross sections in QCD, one needs to deal with various kinematic divergences that appear at intermediate stages of the calculation. One way of doing this is by setting up an IR subtraction scheme.…

High Energy Physics - Phenomenology · Physics 2026-01-06 S. Van Thurenhout , V. Del Duca , C. Duhr , L. Fekésházy , F. Guadagni , P. Mukherjee , G. Somogyi , F. Tramontano

Recent trends in lattice QCD calculations and latest results are reviewed, with particular emphasis on multiquark-states and the nucleon structure.

Nuclear Theory · Physics 2009-11-10 Gunnar S. Bali

We use an improved version of the standard effective mass approximation model to describe quantum effects in nanometric semiconductor Quantum Dots (QDs). This allows analytic computation of relevant quantities to a very large extent. We…

Materials Science · Physics 2011-06-21 Baptiste Billaud , T. T. Truong

We present a new method to compute higher-order corrections to physical cross-sections, at Next-to-Leading Order and beyond. This method, based on the Loop Tree Duality, leads to locally integrable expressions in four dimensions. By…

High Energy Physics - Phenomenology · Physics 2017-04-05 Felix Driencourt-Mangin

We compare two approaches to evaluate cross sections of heavy-quarkonium production at next-to-leading order in nonrelativistic QCD involving $S$- and $P$-wave Fock states: the customary approach based on phase space slicing and the…

High Energy Physics - Phenomenology · Physics 2023-01-30 Mathias Butenschoen , Bernd A. Kniehl

We present and validate a semi-analytical quasi-normal mode (QNM) theory for the local density of states (LDOS) in coupled photonic crystal (PhC) cavity-waveguide structures. By means of an expansion of the Green's function on one or a few…

The renormalization group method enables one to improve the properties of the QCD perturbative power series in the ultraviolet region. However, it ultimately leads to the unphysical singularities of observables in the infrared domain. The…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. V. Shirkov , I. L. Solovtsov

A formula for the two-loop infrared singularities of dimensionally regularized QCD scattering amplitudes with an arbitrary number of massive and massless legs is derived. The singularities are obtained from the solution of a…

High Energy Physics - Phenomenology · Physics 2014-11-18 Thomas Becher , Matthias Neubert

We present an overview of the use of IR-improvement of unintegrable singularities in the infrared regime via amplitude-based resummation in $\mathrm{QED} \times \mathrm{QCD}$ $\subset$ $\mathrm{SU}(2)_L \times \mathrm{U}_1 \times…

High Energy Physics - Phenomenology · Physics 2023-02-03 S. A. Yost , Y. Liu , B. Shakerin , B. F. L. Ward