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In this paper, we work with 16 different single scalar particle extensions of the Standard Model. We present the sets of dimension-6 effective operators and the associated Wilson coefficients as functions of model parameters after…

High Energy Physics - Phenomenology · Physics 2023-01-16 Anisha , Supratim Das Bakshi , Shankha Banerjee , Anke Biekötter , Joydeep Chakrabortty , Sunando Kumar Patra , Michael Spannowsky

We calculate moments of the $O(\alpha_s^3)$ heavy flavor contributions to the Wilson coefficients of the structure function $F_2(x,Q^2)$ in the region $Q^2\gg m^2$. The massive Wilson coefficients are obtained as convolutions of massive…

High Energy Physics - Phenomenology · Physics 2014-11-20 Isabella Bierenbaum , Johannes Blümlein , Sebastian Klein

In the context of OPE and using the large-$\beta_0$ approximation, we propose a method to define Wilson coefficients free from uncertainties due to IR renormalons. We first introduce a general observable $X(Q^2)$ with an explicit IR cutoff,…

High Energy Physics - Phenomenology · Physics 2017-07-17 Go Mishima , Yukinari Sumino , Hiromasa Takaura

In order to study the fate of mesons in thermal QCD at finite baryon chemical potential, we consider light mesonic correlation functions using the Taylor expansion to ${\cal O}((\mu/T)^2)$, in both the hadronic and quark-gluon plasma…

High Energy Physics - Lattice · Physics 2020-01-14 G. Aarts , C. Allton , D. De Boni , J. Glesaaen , S. Hands , B. Jäger , A. A. Nikolaev , J. -I. Skullerud , L. -K. Wu

Using the operator product expansion we show that the $O(1/p^2)$ correction to the perturbative expressions for the gluon propagator and the strong coupling constant resulting from lattice simulations in the Landau gauge are due to a…

High Energy Physics - Phenomenology · Physics 2010-03-19 Ph. Boucaud , A. Le Yaouanc , J. P. Leroy , J. Micheli , O. Pène , J. Rodríguez-Quintero

We investigate the Operator Product Expansion (OPE) on the lattice by directly measuring the product <Jmu Jnu> (where J is the vector current) and comparing it with the expectation values of bilinear operators. This will determine the…

High Energy Physics - Lattice · Physics 2008-11-26 W. Bietenholz , N. Cundy , M. Göckeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , C. J. Roberts , G. Schierholz , A. Schiller , J. M. Zanotti

The renormalon calculus is used to calculate the terms of order $\beta_0^{n-1}\alpha_s^n$ in the perturbative expansions of the Wilson coefficients and hard-scattering kernels entering the QCD factorization formula for hadronic B-meson…

High Energy Physics - Phenomenology · Physics 2009-11-07 Matthias Neubert , Ben D. Pecjak

The difference of vector and axial-vector charged current correlators is analyzed by means of QCD sum rules. The contribution of 10-dimensional 4-quark condensates is calculated and its value is estimated within the framework of…

High Energy Physics - Phenomenology · Physics 2009-11-10 K. N. Zyablyuk

The energy-energy correlator (EEC) in Quantum Chromodynamics (QCD) serves as an important event shape for probing the substructure of jets in high-energy collisions. A significant progress has been make in understanding the collinear limit,…

High Energy Physics - Phenomenology · Physics 2023-11-02 Hao Chen

We calculate expectation values of QCD operators consisting of the products of the four operators of the light quarks corresponding to the scalar, pseudoscalar, vector, pseudovector (axial) and tensor Lorentz structures in the nucleon. All…

High Energy Physics - Phenomenology · Physics 2009-11-10 E. G. Drukarev , M. G. Ryskin , V. A. Sadovnikova , V. E. Lyubovitskij , Th. Gutsche , Amand Faessler

Wilson lines, being comparators that render non-local operator products gauge invariant, are extensively used in QCD calculations, especially in small-$x$ calculations, calculations concerning validation of factorisation schemes and in…

High Energy Physics - Phenomenology · Physics 2015-02-03 Frederik F. Van der Veken

In this paper we study the renormalization of the product of two operators $O_1=-\frac{1}{4} G^{\mu \nu}G_{\mu \nu}$ in QCD. An insertion of two such operators $O_1(x)O_1(0)$ into a Greens function produces divergent contact terms for…

High Energy Physics - Phenomenology · Physics 2017-07-25 Max F. Zoller

The light-cone distribution amplitude (LCDA) is a fundamental non-perturbative quantity for understanding hadron structure and exclusive scattering processes. We report on our calculation of the pion and kaon LCDAs using the heavy-quark…

The operator product expansion (OPE) is applied in conjunction with Pionless effective field theory to study the short-rang structure of nuclei. By matching the OPE with the selected nuclear potentials for nucleon-nucleon scattering states,…

Nuclear Theory · Physics 2025-07-29 Jiexin Yu , Bingwei Long

Form factors in planar N=4 Super-Yang-Mills theory admit a type of non-perturbative operator product expansion (OPE), as we have recently shown in arXiv:2009.11297. This expansion is based on a decomposition of the dual periodic Wilson loop…

High Energy Physics - Theory · Physics 2022-08-24 Amit Sever , Alexander G. Tumanov , Matthias Wilhelm

We present nucleon observables - primarily isovector vector form factors - from calculations using 2+1 flavors of Wilson quarks. One ensemble is used for a dedicated high-precision study of excited-state effects using five source-sink…

High Energy Physics - Lattice · Physics 2014-02-05 Jeremy Green , Michael Engelhardt , Stefan Krieg , Stefan Meinel , John Negele , Andrew Pochinsky , Sergey Syritsyn

We discuss recent work which identifies a potential flaw in standard treatments of weak decay amplitudes, including that of epsilon'/epsilon. The point is that (contrary to conventional wisdom) dimension-eight operators contribute to weak…

High Energy Physics - Phenomenology · Physics 2007-05-23 Eugene Golowich

We argue that the conventional method to calculate the OPE coefficients in the strong coupling limit for heavy-heavy-light operators in the N=4 Super-Yang-Mills theory has to be modified by integrating the light vertex operator not only…

High Energy Physics - Theory · Physics 2015-06-19 Zoltan Bajnok , Romuald A. Janik , Andrzej Wereszczynski

We analyze the higher-twist effects and the SU(3)-flavour symmetry breaking in the correlation functions used to calculate form factors of pseudoscalar mesons in the QCD light-cone sum rule approach. It is shown that the Ward identities for…

High Energy Physics - Phenomenology · Physics 2011-09-13 Johan Bijnens , Alexander Khodjamirian

We propose a method to improve lattice operators composed of Wilson fermions which allows the removal of all corrections of $O(a)$, including those proportional to the quark mass, leaving only errors of $O(a^2)$. The method exploits the…

High Energy Physics - Lattice · Physics 2009-10-09 G. Martinelli , G. C. Rossi , C. T. Sachrajda , S. Sharpe , M. Talevi , M. Testa
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