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We describe a subroutine that improves the running time of any subdivision algorithm for real root isolation. The subroutine first detects clusters of roots using a result of Ostrowski, and then uses Newton iteration to converge to them.…

数值分析 · 计算机科学 2015-02-02 Vikram Sharma , Prashant Batra

The large $N$ reductions in gauge theories are identified with dimensional reductions with homogeneous distribution of the eigenvalues of the gauge field, and it is used to identify the corresponding closed string descriptions in the…

高能物理 - 理论 · 物理学 2007-05-23 Kazuyuki Furuuchi

Using the infrared-renormalon approach, we obtain the constraints on the next-to-leading order non-singlet polarised parton densities. The advocated feature follows from the consideration of the effect revealed in the process of the…

高能物理 - 唯象学 · 物理学 2009-11-10 A. L. Kataev

We compute the planar part of the two-loop five gluon amplitude with all helicities positive. To perform the calculation we develop a D-dimensional generalized unitarity procedure allowing us to reconstruct the amplitude by cutting into…

高能物理 - 唯象学 · 物理学 2015-07-21 Simon Badger , Hjalte Frellesvig , Yang Zhang

We report on automating the Catani-Seymour dipole subtraction which is a general procedure to treat infrared divergences in real emission processes at next-to-leading order in QCD. The automatization rests on three essential steps: the…

高能物理 - 唯象学 · 物理学 2008-11-26 K. Hasegawa , S. Moch , P. Uwer

We calculate in closed analytical form the one-photon loop radiative corrections to muon Compton scattering $\mu^- \gamma \to \mu^- \gamma $. Ultraviolet and infrared divergencies are both treated in dimensional regularization. Infrared…

高能物理 - 唯象学 · 物理学 2010-05-28 N. Kaiser

We extend useful properties of the $H\to\gamma\gamma$ unintegrated dual amplitudes from one- to two-loop level, using the Loop-Tree Duality formalism. In particular, we show that the universality of the functional form -- regardless of the…

高能物理 - 唯象学 · 物理学 2019-03-27 Felix Driencourt-Mangin , German Rodrigo , German F. R. Sborlini , William J. Torres Bobadilla

We tabulate angularly reduced fourth-order many-body corrections to matrix elements for univalent atoms, derived in [A. Derevianko and E.D. Emmons, Phys. Rev. A 65, 052115 (2002)]. In particular we focused on practically important diagrams…

原子物理 · 物理学 2007-05-23 Andrei Derevianko

The double series approximation method of Bonnor is a means for examining the gravitational radiation from an axisymmetric isolated source that undergoes a finite period of oscillation. It involves an expansion of the metric as a double…

广义相对论与量子宇宙学 · 物理学 2009-10-28 M. S. Piper

A new method to construct event-generators based on next-to-leading order QCD matrix-elements and leading-logarithmic parton showers is proposed. Matrix elements of loop diagrams as well as those of a tree level can be generated using an…

高能物理 - 唯象学 · 物理学 2007-05-23 Y. Kurihara

We briefly review a subtraction scheme for computing radiative corrections to QCD jet cross sections that can be defined at any order in perturbation theory. Hereafter we discuss the computational methods used to evaluate analytically and…

高能物理 - 唯象学 · 物理学 2011-04-20 Paolo Bolzoni , Gabor Somogyi

We compute in conventional dimensional regularisation the tree-level splitting amplitudes for a gluon parent which splits into four collinear partons. This is part of the universal infrared behaviour of the QCD scattering amplitudes at…

高能物理 - 唯象学 · 物理学 2020-10-28 Vittorio Del Duca , Claude Duhr , Rayan Haindl , Achilleas Lazopoulos , Martin Michel

We perform detailed calculations of electroweak radiative corrections to parity violating lepton scattering with a proton target up to quadratic and reducible two-loop level using a covariant approach. Our numerical results are presented at…

高能物理 - 唯象学 · 物理学 2025-07-31 Mahumm Ghaffar , Aleksandrs Aleksejevs , Svetlana Barkanova

A self-consistent version of the left-right (LR) symmetric model is used to examine tree- as well as one-loop level radiative corrections to the muon decay. It is shown that constraints on the heavy sector of the model parameters are…

高能物理 - 唯象学 · 物理学 2009-11-07 M. Czakon , J. Gluza , J. Hejczyk

A new representation for the two-to-four gluon vertex arising in the context of unitarity corrections is derived which involves only BFKL kernels. We discuss possible implications of this representation, including the possibility of finding…

高能物理 - 唯象学 · 物理学 2009-10-31 Carlo Ewerz

The Loop-Tree Duality (LTD) theorem is an innovative technique to deal with multi-loop scattering amplitudes, leading to integrand-level representations over an Euclidean space. In this article, we review the last developments concerning…

We use the NRQCD factorization formalism to calculate the relativistic corrections to the fragmentation function for a gluon fragmenting into a spin-triplet S-wave heavy quarkonium. We make use of the gauge-invariant formulation of the…

高能物理 - 唯象学 · 物理学 2009-11-10 Geoffrey T. Bodwin , Jungil Lee

We consider two-nucleon scattering close to threshold. Partial-wave amplitudes are obtained by an analytic extrapolation of subthreshold reaction amplitudes calculated in a relativistic formulation of chiral perturbation theory. The…

核理论 · 物理学 2015-06-12 A. M. Gasparyan , M. F. M. Lutz , E. Epelbaum

We use heavy-nucleus effective field theory to compute radiative corrections to two-neutrino double-$\beta$ decay ($2\nu\beta\beta$). Our main result is the first derivation of a universal radiative-correction factor for double-weak decays…

高能物理 - 唯象学 · 物理学 2026-03-26 Jordy de Vries , Emanuele Mereghetti , Saad el Morabit , Stefan Sandner

We describe the calculation of integrated subtraction terms in the nested soft-collinear subtraction scheme for hadron collider processes with quarks and gluons, thereby extending the results presented in Ref.$~$[1]. Although this extension…