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We present the analytic form of all leading-color two-loop five-parton helicity amplitudes in QCD. The results are analytically reconstructed from exact numerical evaluations over finite fields. Combining a judicious choice of variables…

High Energy Physics - Phenomenology · Physics 2019-05-23 S. Abreu , J. Dormans , F. Febres Cordero , H. Ita , B. Page , V. Sotnikov

There exist certain intrinsic relations between the ultraviolet divergent graphs and the convergent ones at the same loop order in renormalizable quantum field theories. Whereupon we present a new method, the inserter regularization method,…

High Energy Physics - Theory · Physics 2007-05-23 Han-Ying Guo , Yu Cai , Hong-Bo Teng

Renormalizability of the (minimal) single-fermion QED extension is investigated at all orders of perturbation theory in the framework of algebraic renormalization, a regularization-independent method. Relative to the standard QED, new…

High Energy Physics - Theory · Physics 2015-06-04 O. M. Del Cima , J. M. Fonseca , D. H. T. Franco , A. H. Gomes , O. Piguet

To all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet…

High Energy Physics - Phenomenology · Physics 2021-06-22 Martin Lüscher , Peter Weisz

Precision tests of QCD perturbation theory are not readily available from experimental data. The main reasons are systematic uncertainties due to the confinement of quarks and gluons, as well as kinematical constraints which limit the…

High Energy Physics - Lattice · Physics 2017-04-05 Stefan Sint

We describe various expansion schemes that can be used to study gravitational clustering. Obtained from the equations of motion or their path-integral formulation, they provide several perturbative expansions that are organized in different…

Astrophysics · Physics 2009-11-13 P. Valageas

We present the three-loop calculations of the nonrelativistic QCD (NRQCD) current renormalization constants and corresponding anomalous dimensions, and the matching coefficients for the spatial-temporal tensor and spatial-spatial…

High Energy Physics - Phenomenology · Physics 2023-10-19 Wei Tao , Zhen-Jun Xiao

We describe techniques that simplify the calculation of one-loop QCD amplitudes with many external legs, which are needed for next-to-leading-order (NLO) corrections to multi-jet processes. The constraints imposed by perturbative unitarity,…

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

The perturbative result for the quark-mass conversion factor between the $\overline{\mathrm{MS}}$ and regularization-independent symmetric-momentum subtraction scheme (RI/SMOM) away from the chiral limit, i.e. at non-zero quark masses…

High Energy Physics - Phenomenology · Physics 2025-11-10 Long Chen , Marco Niggetiedt

This article discusses a prescription to compute polarized dimensionally regularized amplitudes, providing a recipe for constructing simple and general polarized amplitude projectors in D dimensions that avoids conventional Lorentz tensor…

High Energy Physics - Phenomenology · Physics 2021-07-01 Long Chen

We present a generalization of the recently proposed variational cluster perturbation theory to extended Hubbard models at half filling with repulsive nearest neighbor interaction. The method takes into account short-range correlations…

Strongly Correlated Electrons · Physics 2009-11-10 M. Aichhorn , H. G. Evertz , W. von der Linden , M. Potthoff

We consider radiative corrections to false vacuum decay in a four-dimensional scalar field theory with cubic and quartic potential. Using planar thin wall approximation we were able to get analytical expression for the decay rate up to two…

High Energy Physics - Phenomenology · Physics 2019-03-28 M. A. Bezuglov , A. I. Onishchenko

A key issue in making precise predictions in QCD is the uncertainty in setting the renormalization scale $\mu_R$ and thus determining the correct values of the QCD running coupling $\alpha_s(\mu_R^2)$ at each order in the perturbative…

High Energy Physics - Phenomenology · Physics 2023-11-30 Leonardo Di Giustino , Stanley J. Brodsky , Philip G. Ratcliffe , Xing-Gang Wu , Sheng-Quan Wang

High-energy QCD evolution beyond leading order suffers from instabilities driven by large collinear logarithms. We present a framework, consistent with the standard high-energy operator product expansion (OPE), that restores perturbative…

High Energy Physics - Phenomenology · Physics 2025-11-12 Renaud Boussarie , Paul Caucal , Piotr Korcyl , Yacine Mehtar-Tani

Two recent attempts for overcoming the poor convergence of the perturbation expansion of the thermodynamic potentials of QCD are discussed: an HTL-adaption of ``screened perturbation theory'' and approximately self-consistent HTL…

High Energy Physics - Phenomenology · Physics 2017-08-23 A. Rebhan

Recent developments in higher order calculations within the framework of Dimensional Reduction, the preferred regularization scheme for supersymmetric theories, are reported on. Special emphasis is put on the treatment of evanescent…

High Energy Physics - Phenomenology · Physics 2007-06-21 Robert Harlander , Philipp Kant , Luminita Mihaila , Matthias Steinhauser

We present the results for heavy quark form factors at two-loop order in perturbative QCD for different currents, namely vector, axial-vector, scalar and pseudo-scalar currents, up to second order in the dimensional regularization…

High Energy Physics - Phenomenology · Physics 2018-05-09 J. Ablinger , A. Behring , J. Blümlein , G. Falcioni , A. De Freitas , P. Marquard , N. Rana , C. Schneider

In the framework of cavity QED, we propose a quantum repeater scheme that uses coherent light and chains of atoms coupled to optical cavities. In contrast to conventional repeater schemes, we avoid the usage of two-qubit quantum logical…

Quantum Physics · Physics 2016-09-15 Denis Gonţa , Peter van Loock

We investigate the regularization-scheme dependence of scattering amplitudes in massless QCD and find that the four-dimensional helicity scheme (FDH) and dimensional reduction (DRED) are consistent at least up to NNLO in the perturbative…

High Energy Physics - Phenomenology · Physics 2016-02-17 A. Broggio , Ch. Gnendiger , A. Signer , D. Stöckinger , A. Visconti

We present some techniques which have been developed recently or in the recent past to compute Feynman graphs beyond one-loop order. These techniques are useful to compute the three-loop splitting functions in QCD and to obtain the complete…

High Energy Physics - Phenomenology · Physics 2015-06-25 W. L. van Neerven