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We argue that the perturbative QCD correlations contribute dominantly to the double parton distributions as compared to the nonperturbative ones in the limit of sufficiently large hard scales and for not parametrically small longitudinal…

High Energy Physics - Phenomenology · Physics 2014-07-16 A. M. Snigirev , N. A. Snigireva , G. M. Zinovjev

Starting from the divergent character of the perturbative expansions in QCD and using the technique of series acceleration by the conformal mappings of the Borel plane, I define a novel, non-power perturbative expansion for the Adler…

High Energy Physics - Phenomenology · Physics 2015-06-16 I. Caprini

The problem of precise evaluation of the perturbative QCD predictions at moderate energies is considered. Substantial renormalization scheme dependence of the perturbative predictions obtained with the conventional renormalization group…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

The coefficients multiplying the counterterms required for O($a$) improvement of the action and the isovector axial current in lattice QCD are computed non-perturbatively, in the quenched approximation and for bare gauge couplings $g_0$ in…

High Energy Physics - Lattice · Physics 2016-09-01 Martin Luescher , Stefan Sint , Rainer Sommer , Peter Weisz , Ulli Wolff

We have calculated first and second order corrections to several sum rules measured in deep inelastic lepton-hadron scattering. These corrections, which are due to heavy flavors only, are compared with the existing perturbation series which…

High Energy Physics - Phenomenology · Physics 2009-10-31 W. L. van Neerven

Effective coupling constant in quantum electrodynamics is investigated. A pole appears in the effective coupling constant for the space-like momentum if it is calculated by perturbation. The pole can be eliminated by the analytic…

High Energy Physics - Phenomenology · Physics 2007-10-09 Hirohisa Ishikawa , Keiji Watanabe

In this letter we show how to perform a systematic perturbative approach for the mode-coupling theory. The results coincide with those obtained via the replica approach. The upper critical dimension turns out to be always 8 and the…

Disordered Systems and Neural Networks · Physics 2010-01-13 Silvio Franz , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

We establish direct connection between ghost-free formulations of RG-invariant perturbation theory in the both Euclidean and Minkowskian regions. By combining the trick of resummation of the $\pi^2$-terms for the invariant QCD coupling and…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. V. Shirkov

We compute the running QCD coupling on the lattice by evaluating two-point and three-point off-shell gluon Green's functions in a fixed gauge and imposing non-perturbative renormalisation conditions on them. Our exploratory study is…

High Energy Physics - Lattice · Physics 2009-03-09 B. Alles , D. S. Henty , H. Panagopoulos , C. Parrinello , C. Pittori , D. G. Richards

We study the global Q^2 dependence of large x, F_2 nucleon structure function data, with the aim of providing a perturbative-QCD based, quantitative analysis of parton-hadron duality. As opposed to previous analyses at fixed x, we use a…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. Liuti , R. Ent , C. E. Keppel , I. Niculescu

Nonlinear electrical response permits a unique window into effects of band structure geometry. It can be calculated either starting from a Boltzmann approach for small frequencies, or using Kubo's formula for resonances at finite frequency.…

Mesoscale and Nanoscale Physics · Physics 2023-04-26 Daniel Kaplan , Tobias Holder , Binghai Yan

The problem of precise evaluation of perturbative QCD predictions at moderate energies is addressed. In order to improve stability of the predictions with respect to change of the renormalization scheme it is proposed to replace the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Piotr A. Raczka

Methods described in the literature for the computation of the QCD running coupling are essentially all defined with respect to the renormalization group equations and these equations are associated with the method of renormalization for…

General Physics · Physics 2025-06-11 John Mashford

We study the phenomenological impact of the interaction of spin-2 fields with those of the Standard Model in a model independent framework up to next-to-next-to-leading order in perturbative Quantum Chromodynamics. We use the invariant mass…

High Energy Physics - Phenomenology · Physics 2018-10-30 Pulak Banerjee , Prasanna K. Dhani , M. C. Kumar , Prakash Mathews , V. Ravindran

The paper is devoted to application of recently devised ghost-free Analytic Perturbation Theory (APT) for analysis of some QCD observables. We start with the discussion of the main problem of the perturbative QCD -- ghost singularities and…

High Energy Physics - Phenomenology · Physics 2011-09-13 D. V. Shirkov

Starting from the Schr\"odinger functional, we give a non-perturbative definition of the running coupling constant in QCD. The spatial boundary conditions for the quark fields are chosen such that the massless Dirac operator in the…

High Energy Physics - Lattice · Physics 2009-10-28 Stefan Sint , Rainer Sommer

We present a generalization of the perturbative construction of the metric operator for non-Hermitian Hamiltonians with more than one perturbation parameter. We use this method to study the non-Hermitian scattering Hamiltonian:…

Quantum Physics · Physics 2015-05-18 Hossein Mehri-Dehnavi , Ali Mostafazadeh , Ahmet Batal

We demonstrate how one can construct renormalizable perturbative expansion in formally nonrenormalizable higher dimensional scalar theories. It is based on 1/N-expansion and results in a logarithmically divergent perturbation theory in…

High Energy Physics - Theory · Physics 2007-05-23 D. I. Kazakov , G. S. Vartanov

We report on the non-perturbative computation of the running coupling of two-flavour QCD in the Schr"odinger functional scheme. The corresponding Lambda-parameter, which describes the coupling strength at high energy, is related to a low…

We present an evaluation of the running coupling constant for Nf=2+1 QCD. The Schroedinger functional scheme is used as the intermediate scheme to carry out non-perturbative running from the low energy region, where physical scale is…

High Energy Physics - Lattice · Physics 2010-04-30 S. Aoki , K. I. Ishikawa , N. Ishizuka , T. Izubuchi , D. Kadoh , K. Kanaya , Y. Kuramashi , K. Murano , Y. Namekawa , M. Okawa , Y. Taniguchi , A. Ukawa , N. Ukita , T. Yoshié
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