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The idea of glue clusters, i.e. short-range correlations in the quark-gluon plasma close to freeze-out, is used to estimate the width of balance functions in momentum space. A good agreement is found with the recent measurements of STAR…

High Energy Physics - Phenomenology · Physics 2011-03-22 A. Bialas

We use a numerical method to obtain the weak coupling perturbative coefficients of local operators with lattice regularization. Such a method allows us to extend the perturbative expansions obtained so far by analytical Feynman diagrams…

High Energy Physics - Theory · Physics 2011-08-17 F. Di Renzo , G. Marchesini , E. Onofri

We calculate the O(g^2 a) mixing coefficients of bilinear quark operators in lattice QCD using a standard perturbative evaluation of on-shell Green's functions. Our results for the plaquette gluon action are in agreement with those…

High Energy Physics - Lattice · Physics 2009-10-31 Yusuke Taniguchi , Akira Ukawa

We discuss the constraints on quark and gluon energy-momentum tensors in QCD that follow from the requirement of Renormalisation-Group invariance of the traces of these operators. Our study covers the most general form of the latter traces,…

High Energy Physics - Phenomenology · Physics 2023-11-08 Taushif Ahmed , Long Chen , Michał Czakon

We present a comprehensive study of the quark sector of $2+1$ flavour QCD, based on a self-consistent treatment of the coupled system of Schwinger-Dyson equations for the quark propagator and the full quark-gluon vertex. The individual form…

High Energy Physics - Phenomenology · Physics 2021-07-06 Fei Gao , Joannis Papavassiliou , Jan M. Pawlowski

We identify the independent dimension 6 twist 4 gluon operators and calculate their renormalization in the pure gauge theory. By constructing the renormalization group invariant combinations, we find the scale invariant condensates that can…

High Energy Physics - Phenomenology · Physics 2015-07-22 HyungJoo Kim , Su Houng Lee

Correlations between the QCD coupling \alpha_s, the gluon condensate < \alpha_s G^2 >, and the c,b-quark running masses m_c,b in the MS-scheme are explicitly studied (for the first time) from the (axial-)vector and (pseudo)scalar charmonium…

High Energy Physics - Phenomenology · Physics 2018-12-04 Stephan Narison

The correlator of two gluonic operators plays an important role for example in transport properties of a Quark Gluon Plasma (QGP) or in sum rules for glueballs. In [1] an operator product expansion (OPE) at zero temperature was performed…

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

The behaviour of the quark coefficient functions in deep-inelastic scattering is investigated for large values of the Bjorken variable x. By combining results of soft-gluon resummation and fixed-order calculations, we determine the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Vogt

We calculate one-loop renormalization factors of bilinear quark operators for gluon action including six-link loops and $O(a)$-improved quark action in the limit of massless quark. We find that finite parts of one-loop coefficients of…

High Energy Physics - Lattice · Physics 2009-10-31 Sinya Aoki , Kei-ichi Nagai , Yusuke Taniguchi , Akira Ukawa

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

In this article, we assume that the two quarks have unequal masses and calculate the next-to-leading order contributions to the spectral densities of the mesonic two-point correlation functions of the vector, axialvector, scalar and…

High Energy Physics - Phenomenology · Physics 2013-11-08 Zhi-Gang Wang

We compute a variety of operator-operator correlation functions to third order in the MSbar scheme in the chiral limit. These include combinations of quark bilinear currents with gauge invariant operators such as moments n = 2 and 3 of the…

High Energy Physics - Phenomenology · Physics 2010-01-15 J. A. Gracey

In this paper analytical results are presented for higher order corrections to coefficient functions of the operator product expansion (OPE) for the correlator of two pseudoscalar gluonium operators \tilde{O}_1=G^{\mu \nu}\tilde{G}_{\mu…

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

As an improvement of the QCD sum rule method to study modifications of light vector mesons in nuclear matter and/or at finite temperature, we calculate the Wilson coefficients of all independent gluonic non-scalar operators up to dimension…

High Energy Physics - Phenomenology · Physics 2017-07-04 HyungJoo Kim , Philipp Gubler , Su Houng Lee

Nucleon structure functions can be observed in Deep Inelastic Scattering experiments, but it is an outstanding challenge to confront them with fully non-perturbative QCD results. For this purpose we investigate the product of…

High Energy Physics - Lattice · Physics 2010-11-05 W. Bietenholz , N. Cundy , M. Goeckeler , R. Horsley , H. Perlt , D. Pleiter , P. E. L. Rakow , G. Schierholz , A. Schiller , T. Streuer , J. M. Zanotti

The paper presents the short review of our to-day knowledge of vacuum condensates in QCD. The condensates are defined as vacuum averages of the operators which arise due to nonperturbative effects. The important role of condensates in…

High Energy Physics - Phenomenology · Physics 2009-11-07 B. L. Ioffe

In this paper, we present one- and two-loop results for the renormalization of the gluon and quark gauge-invariant operators which appear in the definition of the QCD energy-momentum tensor, in dimensional regularization. To this end, we…

High Energy Physics - Lattice · Physics 2021-02-03 George Panagopoulos , Haralambos Panagopoulos , Gregoris Spanoudes

The renormalization, at the next-to-leading order in $\alpha_s$, of the $\Delta B=2$ operators at the lowest order in the heavy quark expansion, namely in the static theory, is computed taking into account previously missed contributions.…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Ciuchini , E. Franco , V. Gimenez

We perform an all-orders resummation of the QCD Adler D-function for the vector correlator, in which the portion of perturbative coefficients involving the leading power of b, the first beta-function coefficient, is resummed. To avoid a…

High Energy Physics - Phenomenology · Physics 2009-11-07 C. J. Maxwell , A. Mirjalili