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Infrared divergences of QCD scattering amplitudes can be derived from an anomalous dimension matrix, which is also an essential ingredient for the resummation of large logarithms due to soft gluon emissions. We report a recent analytical…

High Energy Physics - Phenomenology · Physics 2010-12-13 A. Ferroglia , M. Neubert , B. D. Pecjak , L. L. Yang

We present results for higher order perturbative corrections to Compton scattering in the generalized Bjorken kinematics. The approach we have used is based on the combination of two techniques: conformal operator product expansion on the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , A. Schaefer

This article reports an automated approach to the evaluation of higher-order terms of QED perturbation to anomalous magnetic moments of charged leptons by numerical means. We apply this approach to tenth-order correction due to a particular…

High Energy Physics - Phenomenology · Physics 2009-11-11 T. Aoyama , M. Hayakawa , T. Kinoshita , M. Nio

This paper presents a fast and robust method for fixed pattern noise nonuniformity correction of infrared focal plane arrays. The proposed method requires neither shutter nor elaborate calibrations and therefore enables a real time…

Computer Vision and Pattern Recognition · Computer Science 2017-02-22 G. Ness , A. Oved , I. Kakon

Perturbative QCD in mass independent schemes leads in general to running coupling $a(Q^2)$ which is nonanalytic (nonholomorphic) in the regime of low spacelike momenta $|Q^2| \lesssim 1 \ {\rm GeV}^2$. Such (Landau) singularities are…

High Energy Physics - Phenomenology · Physics 2015-06-11 Carlos Contreras , Gorazd Cvetic , Reinhart Kogerler , Pawel Kroger , Oscar Orellana

We review some results obtained by us and others concerning the structure of higher order perturbation series in perturbative QCD and their resummation using the renormalization group equation. We illustrate our results by a number of…

High Energy Physics - Phenomenology · Physics 2013-05-30 S. Groote , J. G. Körner , A. A. Pivovarov

The analytization procedure which allows one to remove nonphysical singularities of the QCD running coupling constant $\bar\alpha_s(q^2)$ in the infrared region is applied to standard as well as to iterative solutions of the two-loop…

High Energy Physics - Phenomenology · Physics 2007-05-23 Aleksey I. Alekseev

In this paper we show that the apparent failure of QCD lattice perturbation theory to account for Monte Carlo measurements of perturbative quantities results from choosing the bare lattice coupling constant as the expansion parameter. Using…

High Energy Physics - Lattice · Physics 2009-10-22 G. P. Lepage , P. B. Mackenzie

We develop a general expression for weighted cross sections in leptonic annihilation to hadrons based on time-ordered perturbation theory (TOPT). The analytic behavior of the resulting integrals over spatial momenta can be analyzed in the…

High Energy Physics - Phenomenology · Physics 2024-02-19 George Sterman , Aniruddha Venkata

A short survey of the renormalization problem in QCD and its non-perturbative solution by means of numerical simulations on the lattice is given. Most emphasis is on scale dependent renormalizations, which can be reliably addressed via a…

High Energy Physics - Phenomenology · Physics 2007-05-23 Jochen Heitger

We analyze tau lepton decay observables, namely moments of the hadronic spectral density in the finite energy interval (0,M_\tau), within finite order perturbation theory including \alpha_s^4 corrections. The start of asymptotic growth of…

High Energy Physics - Phenomenology · Physics 2011-09-13 J. G. Koerner , F. Krajewski , A. A. Pivovarov

This paper provides an analysis of the linearized inverse problem in multifrequency electrical impedance tomography. We consider an isotropic conductivity distribution with a finite number of unknown inclusions with different frequency…

Numerical Analysis · Mathematics 2016-10-06 Giovanni S. Alberti , Habib Ammari , Bangti Jin , Jin-Keun Seo , Wenlong Zhang

The RI/MOM non-perturbative renormalization scheme is studied on the lattice in SU(3) quenched QCD with Wilson fermions. The gauge dependence of some fermion bilinear renormalization constants is discussed by comparing data which have been…

High Energy Physics - Lattice · Physics 2009-11-07 L. Giusti , S. Petrarca , B. Taglienti , N. Tantalo

We present the complete set of vertex, wave function and charge renormalisation constants in QCD in a general simple gauge group and with the complete dependence on the covariant gauge parameter $\xi$ in the minimal subtraction scheme of…

High Energy Physics - Phenomenology · Physics 2018-01-24 K. G. Chetyrkin , G. Falcioni , F. Herzog , J. A. M. Vermaseren

The resummed expression for the quark form factor illustrates the fact that dimensional continuation provides a regularization not only for ultraviolet and infrared singularities of fixed order QCD amplitudes, but also for the Landau pole…

High Energy Physics - Phenomenology · Physics 2009-10-31 Lorenzo Magnea

Power corrections in QCD (both conventional and unconventional ones arising from the ultraviolet region) are discussed within the infrared finite coupling-dispersive approach. It is shown how power corrections in Minkowskian quantities can…

High Energy Physics - Phenomenology · Physics 2014-11-17 G. Grunberg

General O(alpha) radiative corrections to lattice actions may be interpreted as counterterms that give additive contributions to the one-loop renormalisation of the anisotropy. The effect of changing the radiative coefficients is thus…

High Energy Physics - Lattice · Physics 2014-11-17 I. T. Drummond , A. Hart , R. R. Horgan , L. C. Storoni

We make a comparison of two tadpole renormalization schemes in the context of the quarkonium hyperfine splittings in lattice NRQCD. Improved gauge-field and NRQCD actions are analyzed using the mean-link $u_{0,L}$ in Landau gauge, and using…

High Energy Physics - Lattice · Physics 2016-09-01 Norman H. Shakespeare , Howard D. Trottier

Quantum cascade lasers (QCLs) facilitate compact optical frequency comb sources that operate in the mid-infrared and terahertz spectral regions, where many molecules have their fundamental absorption lines. Enhancing the optical bandwidth…

In the Coulomb gauge of QCD, the Hamiltonian contains a non-linear Christ-Lee term, which may alternatively be derived from a careful treatment of ambiguous Feynman integrals at 2-loop order. We investigate how and if UV divergences from…

High Energy Physics - Theory · Physics 2011-02-18 A. Andrasi , J. C. Taylor