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We calculate the Wilson coefficients of all dimension 6 gluon operators with non zero spin in the correlation function between two heavy vector currents. For the twist-4 part, we first identify the three independent gluon operators, and…

Nuclear Theory · Physics 2009-11-06 Sungsik Kim , Su Houng Lee

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

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

Nonlocal gluon condensates are vacuum expectations of the product of gluon field strength tensors. Short-distance expansions of two-, three-, and four-gluon condensates are presented up to dimension-8 local operators. We propose a method…

High Energy Physics - Phenomenology · Physics 2022-10-05 Alexandr V. Pimikov

We extend an earlier, configuration space method to find the Wilson coefficients of operators appearing in the short distance expansion of thermal correlation functions of different quark bilinears. Considering all the different correlation…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Mallik

We propose a method to compute the Wilson coefficients of the weak effective Hamiltonian to all orders in the strong coupling constant using Lattice QCD simulations. We perform our calculations adopting an unphysically light weak boson mass…

High Energy Physics - Lattice · Physics 2018-04-25 Mattia Bruno , Christoph Lehner , Amarjit Soni

We derive a Wilson coefficient of a CP-violating purely gluonic dimension-6 operator called the Weinberg operator ($GG\tilde{G}$) generated by a scalar and two fermions at the two-loop level. We do not specify the representation of…

High Energy Physics - Phenomenology · Physics 2020-05-20 Tomohiro Abe , Junji Hisano , Ryo Nagai

The standard theoretical framework to deal with weak decays of heavy mesons is the so-called weak effective Hamiltonian. It involves the short-distance Wilson coefficients, which depend on the renormalisation scale $\mu$. For specific…

High Energy Physics - Phenomenology · Physics 2016-09-21 Stefan de Boer , Bastian Müller , Dirk Seidel

An important ingredient for the calculation of Higgs boson properties in the infinite top quark mass limit is the knowledge of the effective coupling between the Higgs bosons and gluons, i.e. the Wilson coefficients $C_H$ and $C_{HH}$ for…

High Energy Physics - Phenomenology · Physics 2018-12-05 Marvin Gerlach , Florian Herren , Matthias Steinhauser

We compute the two and three-point correlation functions of chiral primary operators in the large N limit of the (0,2), d=6 superconformal theory. We also consider the operator product expansion of Wilson surfaces in the (0,2) theory and…

High Energy Physics - Theory · Physics 2009-10-31 Richard Corrado , Bogdan Florea , Robert McNees

In this paper we construct the Wilson short distance operator product expansion for the gluon, quark and ghost propagators in QCD, including operators of dimension two and three, namely, A^2, m^2, m A^2, \ovl{\psi} \psi and m^3. We compute…

High Energy Physics - Phenomenology · Physics 2010-12-15 K. G. Chetyrkin , A. Maier

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 coefficient functions of the gluon condensate $<G^2>$, in the correlators of heavy-quark vector, axial, scalar and pseudoscalar currents, are obtained analytically, to two loops, for all values of $z=q^2/4m^2$. In the limiting cases…

High Energy Physics - Phenomenology · Physics 2010-11-01 D. J. Broadhurst , P. A. Baikov , V. A. Ilyin , J. Fleischer , O. V. Tarasov , V. A. Smirnov

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

We present preliminary results of a bayesian fit to the Wilson coefficients of the Standard Model gauge invariant dimension-6 operators involving one or more Higgs fields, using data on electroweak precision observables and Higgs boson…

High Energy Physics - Phenomenology · Physics 2016-06-02 Jorge de Blas , Marco Ciuchini , Enrico Franco , Diptimoy Ghosh , Satoshi Mishima , Maurizio Pierini , Laura Reina , Luca Silvestrini

Wilson coefficients of light four-quark condensates in QCD sum rules are evaluated for pseudo-scalar $D$ mesons, thus, pushing the sum rules toward mass dimension six. Contrary to the situation for $\bar{q}q$ mesons the impact of the…

Nuclear Theory · Physics 2015-02-02 Thomas Buchheim , Thomas Hilger , Burkhard Kampfer

The magnitudes of gluon and four-quark condensates are found from the analysis of vector mesons consisting of light quarks (the families of $\rho$ and $\omega$ mesons) in the 3 loops approximation. The QCD model with infinite number of…

High Energy Physics - Phenomenology · Physics 2009-11-10 B. V. Geshkenbein

Starting from an earlier representation of the independent dimension 6 gluon operators in terms of color electric and magnetic fields, we estimate their changes near the critical temperature $T_c$ using the temperature dependence of the…

High Energy Physics - Phenomenology · Physics 2016-01-13 HyungJoo Kim , Kenji Morita , Su Houng Lee

A major task in phenomenology today is constraining the parameter space of SMEFT and constructing models of fundamental physics that the SM derives from. To this effect, we report an exhaustive list of sum rules for 4-fermion operators of…

High Energy Physics - Phenomenology · Physics 2022-06-29 Aleksandr Azatov , Diptimoy Ghosh , Amartya Harsh Singh

Many transport coefficients of the quark-gluon plasma and nuclear structure functions can be written as gauge invariant correlation functions of non-Abelian field strengths dressed with Wilson lines. We discuss the applicability of axial…

High Energy Physics - Phenomenology · Physics 2023-02-09 Bruno Scheihing-Hitschfeld , Xiaojun Yao
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