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The operator product expansion (OPE) for heavy-light-quark pseudoscalar mesons (D-mesons and B-mesons) in medium is determined, both for a moving meson with respect to the surrounding medium as well as for a meson at rest. First of all, the…

High Energy Physics - Phenomenology · Physics 2015-06-03 Sven Zschocke , Thomas Hilger , Burkhard Kampfer

We analyze the heavy quark bound state spectrum using an order-dependent conformal mapping to re-sum the perturbative expansion for current correlators. The procedure consists of two main steps. Firstly, the Borel plane structure of the…

High Energy Physics - Phenomenology · Physics 2009-10-31 H. F. Jones , A. Ritz , I. L. Solovtsov

We review recent studies of the operator product expansion of the plaquette and of the associated determination of the gluon condensate. One first needs the perturbative expansion to orders high enough to reach the asymptotic regime where…

High Energy Physics - Phenomenology · Physics 2021-09-06 Antonio Pineda

We discuss the evaluation of power corrections to hard scattering and decay processes for which an operator product expansion is applicable. The Wilson coefficient of the leading-twist operator is the difference of two perturbative series,…

High Energy Physics - Phenomenology · Physics 2009-10-09 G. Martinelli , C. T. Sachrajda

We consider polygonal Wilson loops with null edges in conformal gauge theories. We derive an OPE-like expansion when several successive lines of the polygon are becoming aligned. The limit corresponds to a collinear, or multicollinear,…

High Energy Physics - Theory · Physics 2011-04-28 Luis F. Alday , Davide Gaiotto , Juan Maldacena , Amit Sever , Pedro Vieira

We show, within the framework of the Euclidean $\phi^4$-quantum field theory in four dimensions, that the Wilson operator product expansion (OPE) is not only an asymptotic expansion at short distances as previously believed, but even…

High Energy Physics - Theory · Physics 2015-05-28 Stefan Hollands , Christoph Kopper

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…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. R. Webber

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

The power corrections in the Operator Product Expansion (OPE) of QCD correlators can be viewed mathematically as an illustration of the transseries concept, which allows to recover a function from its asymptotic divergent expansion.…

High Energy Physics - Phenomenology · Physics 2020-09-29 Irinel Caprini

In this paper we describe a renormalon-inspired model of twist--4 power corrections to the light-cone pion distribution amplitude, and compare it to the results obtained using the conformal wave expansion. We find that the overall…

High Energy Physics - Phenomenology · Physics 2009-10-31 Jeppe R. Andersen

The operator product expansion for ``small'' Wilson loops in {\cal N}=4, d=4 SYM is studied. The OPE coefficients are calculated in the large N and g_{YM}^2 N limit by exploiting the AdS/CFT correspondence. We also consider Wilson surfaces…

High Energy Physics - Theory · Physics 2016-08-25 David Berenstein , Richard Corrado , Willy Fischler , Juan Maldacena

We present an algorithm for constructing the Wilson operator product expansion (OPE) for perturbative interacting quantum field theory in general Lorentzian curved spacetimes, to arbitrary orders in perturbation theory. The remainder in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stefan Hollands

Properly separating and subtracting renormalons in the framework of the operator product expansion (OPE) is a way to realize high precision computation of QCD effects in high energy physics. We propose a new method (FTRS method), which…

High Energy Physics - Phenomenology · Physics 2022-02-23 Yuuki Hayashi , Yukinari Sumino , Hiromasa Takaura

We evaluate the electromagnetic spectral function in QCD plasma in a nonperturbative background of in-medium quark and gluon condensates by incorporating the leading order power corrections in a systematic framework within the ambit of the…

High Energy Physics - Phenomenology · Physics 2016-12-21 Aritra Bandyopadhyay , Munshi G Mustafa

A method for calculating coefficient functions of the operator product expansion, which was previously derived for the non-singlet case, is generalized for the singlet coefficient functions. The resulting formula defines coefficient…

High Energy Physics - Phenomenology · Physics 2013-05-30 Alexander V. Kisselev

Power-suppressed corrections coming from the end-point integration regions in the amplitude of the process $\gamma^{*}\gamma \to \pi \pi$ at large $Q^2$ and small squared center-of-mass energy $W^2$ are calculated in the QCD hard-scattering…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. S. Agaev , M. Guidal , B. Pire

In this dissertation we develop a theoretical framework in the context of perturbative QuantumChromoDynamics (pQCD) for studying non-forward scattering processes. In particular, we investigate a non-forward unequal mass virtual Compton…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zhang Chen

We study the operator product expansion of the plaquette (gluon condensate) and the self-energy of an infinitely heavy quark. We first compute their perturbative expansions to order $\alpha^{35}$ and $\alpha^{20}$, respectively, in the…

High Energy Physics - Phenomenology · Physics 2016-02-17 Gunnar S. Bali , Antonio Pineda

The operator product expansion (OPE) for the difference of vector and axial current correlators is analyzed for complex values of momentum q^2. The vector and axial spectral functions, taken from hadronic tau-decay data, are treated with…

High Energy Physics - Phenomenology · Physics 2009-10-31 B. L. Ioffe , K. N. Zyablyuk

We apply a recently constructed model of analytic QCD in the Operator Product Expansion (OPE) analysis of the tau lepton decay data in the V+A channel. The model has the running coupling A(Q^2) with no unphysical singularities, i.e., it is…

High Energy Physics - Phenomenology · Physics 2015-06-11 Gorazd Cvetič , Cristián Villavicencio