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Related papers: Vector Correlator in Massless QCD at Order O(alpha…

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We predict that the four-loop contribution \beta_3 to the QCD \beta function in the MS-bar prescription is given by \beta_3\simeq 23,600(900) - 6,400(200) N_f + 350(70) N_f^2 + 1.5 N_f^3, where N_f is the number of flavours and the…

High Energy Physics - Phenomenology · Physics 2016-09-06 John Ellis , Marek Karliner , Mark. A. Samuel

Based on an effective Lagrangian which combines chiral SU(3) dynamics with vector meson dominance, we have developed a model for the s-wave vector meson-nucleon scattering amplitudes. We use this as an input for the low energy part of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Klingl , W. Weise

The scheme and gauge dependence of the factorization property of the RG $\beta$-function in the $SU(N_c)$ QCD generalized Crewther relation (GCR), which connects the non-singlet contributions to the Adler and Bjorken polarized sum rule…

High Energy Physics - Phenomenology · Physics 2018-04-04 A. V. Garkusha , A. L. Kataev , V. S. Molokoedov

We calculate the three-loop Wilson coefficients of all physically relevant dimension-four operators, i.e. $G_{\mu\nu}^a G^{a,\mu\nu}$, $m_i\bar q_j q_j$ and $m_i m_j m_k^2$, in the short-distance expansion of the time-ordered product of a…

High Energy Physics - Phenomenology · Physics 2024-12-24 Robin Brüser , André H. Hoang , Maximilian Stahlhofen

We present a QCD sum rule calculation of the spin-symmetry violating universal function $\chi_2(v\cdot v')$, which appears at order $1/m_Q$ in the heavy quark expansion of meson form factors. This function vanishes in the standard…

High Energy Physics - Phenomenology · Physics 2010-11-01 M. Neubert , Z. Ligeti , Y. Nir

We calculate vector-vector correlation functions at two loops using partially quenched chiral perturbation theory including finite volume effects and twisted boundary conditions. We present expressions for the flavor neutral cases and the…

High Energy Physics - Lattice · Physics 2018-01-17 Johan Bijnens , Johan Relefors

We investigate the role of a certain class of QCD corrections to electroweak vector boson scattering at small scattering angles and large energies. These are present since, from the perturbative analysis, the vector bosons may dissociate…

High Energy Physics - Phenomenology · Physics 2011-09-13 Krisztian Peters , Gian Paolo Vacca

We assess the accuracy of our previous Asymptotic Pad\'e predictions of the five-loop QCD $\beta$-function and quark mass anomalous dimension in the light of subsequent exact results. We find the low-order coefficients in an expansion in…

High Energy Physics - Phenomenology · Physics 2026-04-10 J. A. Gracey , I. Jack , D. R. T. Jones

We study the chiral dynamics of vector mesons in two-flavor QCD in vacuum by utilizing a functional renormalization group approach. This allows us to capture the dynamical transition from the quark-gluon phase at high energies to the…

High Energy Physics - Phenomenology · Physics 2015-11-04 Fabian Rennecke

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

We study the mass spectra of $\bar{Q}Q\bar{Q}Q\ (Q=c,b)$ systems in QCD sum rules with the complete next-to-leading order (NLO) contribution to the perturbative QCD part of the correlation functions. Instead of meson-meson or…

High Energy Physics - Phenomenology · Physics 2022-12-02 Ren-Hua Wu , Yu-Sheng Zuo , Chen-Yu Wang , Ce Meng , Yan-Qing Ma , Kuang-Ta Chao

QCD sum rules involving mixed inverse moment integration kernels are used in order to determine the running charm-quark mass in the $\bar{MS}$ scheme. Both the high and the low energy expansion of the vector current correlator are involved…

High Energy Physics - Phenomenology · Physics 2011-04-22 S. Bodenstein , J. Bordes , C. A. Dominguez , J. Penarrocha , K. Schilcher

Vector mesons show up in the electromagnetic current-current correlator. QCD sum rules provide a constraint on hadronic models for this correlator. This constraint is discussed for the case of finite nuclear density concerning the…

Nuclear Theory · Physics 2008-11-26 Stefan Leupold , Ulrich Mosel

We compute the three-loop corrections to the quark axial vector form factor in massless QCD, focusing on the pure-singlet contributions where the axial vector current couples to a closed quark loop. Employing the Larin prescription for…

High Energy Physics - Phenomenology · Physics 2021-03-24 T. Gehrmann , A. Primo

We consider the transverse-momentum ($q_T$) distribution of $Z$ bosons produced in hadronic collisions. At small values of $q_T$, we perform the analytic resummation of the logarithmically enhanced QED contributions up to next-to-leading…

High Energy Physics - Phenomenology · Physics 2018-09-26 Leandro Cieri , Giancarlo Ferrera , German F. R. Sborlini

We solve renormalization group equation in QCD in the presence of SU(3) constant chromo-electric field E^a with arbitrary color index a=1,2,...8 and find that the QCD coupling constant \alpha_s depends on two independent casimir/gauge…

High Energy Physics - Phenomenology · Physics 2014-11-18 Gouranga C Nayak

We calculate three-loop corrections to correlation functions of heavy-quark currents in the low- and high-energy regions. We present 30 coefficients both in the low-energy and the high-energy expansion of the scalar and the vector…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. Maier , P. Marquard

Wave functions and form factors of vector mesons are investigated in the holographic dual model of QCD with a smooth oscillator-like wall. We introduce wave functions conjugate to solutions of the 5D equation of motion and develop a…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. R. Grigoryan , A. V. Radyushkin

We present an extensive study on the direct determination of the running coupling alpha_s from the static quark antiquark force at short distances, in quenched QCD. We find from our high statistics potential analysis that alpha_qq exhibits…

High Energy Physics - Lattice · Physics 2011-07-19 K. Schilling , G. S. Bali

In this review paper the QCD vacuum properties and the structure of color fields in hadrons are studied using the complete set of gauge-invariant correlators of gluon fields. Confinement in QCD is produced by the correlators of some certain…

High Energy Physics - Phenomenology · Physics 2009-11-10 D. S. Kuzmenko , V. I. Shevchenko , Yu. A. Simonov