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The single renormalon-chain contribution to the correlator of scalar currents in QCD is calculated in the $\bar{MS}$-scheme in the limit of a large $N_f$. We find that in the factorial growth of the coefficients due to renormalons takes…

高能物理 - 唯象学 · 物理学 2008-11-26 D. J. Broadhurst , A. L. Kataev , C. J. Maxwell

We propose a non-perturbative method for computing the renormalization constants of generic composite operators. This method is intended to reduce some systematic errors, which are present when one tries to obtain physical predictions from…

高能物理 - 格点 · 物理学 2009-10-09 G. Martinelli , C. Pittori , C. T. Sachrajda , M. Testa , A. Vladikas

The functional flow equation and the Quantum Master equation are consistently solved in perturbation for the chiral symmetric QED with and without four-fermi interactions. Due to the presence of momentum cutoff, unconventional features…

高能物理 - 理论 · 物理学 2021-07-30 Yuji Igarashi , Katsumi Itoh

Renormalization constants ($Z$-factors) of vector and axial-vector currents are determined non-perturbatively in quenched QCD for a renormalization group improved gauge action and a tadpole improved clover quark action using the…

We show that maximally twisted mass fermions can be employed to regularize on the lattice the fully unquenched QCD+QED theory with vanishing $\theta$-term. We discuss how the critical mass of the up and down quarks can be conveniently…

高能物理 - 格点 · 物理学 2016-12-08 Roberto Frezzotti , Giancarlo Rossi , Nazario Tantalo

Renormalization factors for three- and four-quark operators, which appear in the low energy effective Lagrangian of the proton decay and the weak interactions, are perturbatively calculated in domain-wall QCD. We find that the operators are…

高能物理 - 格点 · 物理学 2009-10-31 Sinya Aoki , Taku Izubuchi , Yoshinobu Kuramashi , Yusuke Taniguchi

We investigate the dynamical generation of fermion mass in quantum electrodynamics (QED). This non-perturbative study is performed using a truncated set of Schwinger-Dyson equations for the fermion and the photon propagator. First, we study…

高能物理 - 唯象学 · 物理学 2007-05-23 J. C. R. Bloch

The one-loop QCD effective charge $\alpha_s^{eff}$ for quark-quark scattering is derived by diagrammatic resummation of the one-loop amplitude using an arbitary covariant gauge. Except for the particular choice of gauge parameter $\xi =…

高能物理 - 唯象学 · 物理学 2015-06-25 J. H. Field

We compute the QED beta function using a new method of functional integration. It turns out that in this procedure the beta function contains only the first two orders coefficients and thus corresponds to a new renormalization scheme, long…

高能物理 - 理论 · 物理学 2014-07-24 Renata Jora , Joseph Schechter

We introduce a generalization of the conventional renormalization schemes used in dimensional regularization, which illuminates the renormalization scheme and scale ambiguities of pQCD predictions, exposes the general pattern of…

高能物理 - 唯象学 · 物理学 2013-06-20 Matin Mojaza , Stanley J. Brodsky , Xing-Gang Wu

The truncation of the perturbative series at one loop order for the mass renormalization constants remain a significant systematic uncertainty in the determination of heavy quark masses in lattice QCD. We present here a high beta Monte…

高能物理 - 格点 · 物理学 2009-11-07 K. J. Juge

The `renormalon' or `dispersive' method for estimating non-perturbative corrections to QCD observables is reviewed. The corrections are power-suppressed, i.e. of the form $A/Q^p$ where $Q$ is the hard process momentum scale. The renormalon…

高能物理 - 唯象学 · 物理学 2009-10-30 B. R. Webber

We present analytical results at four-loop level for the renormalization constants and anomalous dimensions of an extended QCD model with one coupling constant and an arbitrary number of fermion representations. One example of such a model…

高能物理 - 唯象学 · 物理学 2017-07-25 K. G. Chetyrkin , M. F. Zoller

One flavor mass reweighting can be used in lattice QCD computations to fine tune the quark masses to their physical values. We present a new method that utilizes an unbiased stochastic estimation of the one flavor determinant. The…

高能物理 - 格点 · 物理学 2015-06-16 Jacob Finkenrath , Francesco Knechtli , Björn Leder

The renormalization of the scalar diquark operator and its anomalous dimension is calculated at two-loop order in QCD, enabling higher-order QCD studies of diquarks. As an application of our result, the two-loop diquark anomalous dimension…

高能物理 - 唯象学 · 物理学 2011-11-30 R. T. Kleiv , T. G. Steele

This is the third of a series of papers on three-loop computation of renormalization constants for Lattice QCD. Our main point of interest are results for the regularization defined by Iwasaki gauge action and n_f=4 Wilson fermions. Our…

高能物理 - 格点 · 物理学 2015-06-18 M. Brambilla , F. Di Renzo , M. Hasegawa

The idea of the functional renormalization group and one-loop improved renormalization group flows are reviewed. The associated flow equations and nonperturbative approximations schemes for its solutions are discussed. These techniques are…

高能物理 - 唯象学 · 物理学 2008-12-18 Bernd-Jochen Schaefer , Jochen Wambach

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…

高能物理 - 唯象学 · 物理学 2023-11-30 Leonardo Di Giustino , Stanley J. Brodsky , Philip G. Ratcliffe , Xing-Gang Wu , Sheng-Quan Wang

The parametric error on the QCD-coupling can be a dominant source of uncertainty in several important observables. One way to extract the coupling is to compare high order perturbative computations with lattice evaluated moments of heavy…

高能物理 - 格点 · 物理学 2023-01-25 Leonardo Chimirri

The lectures are a practical introduction to perturbative calculations in QED and QCD. I discuss methods of calculation of one- and two-loop diagrams in dimensional regularization, MSbar and on-shell renormalization schemes, decoupling of…

高能物理 - 唯象学 · 物理学 2007-05-23 Andrey Grozin