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For special kinematic configurations involving a single momentum scale, certain standard relations, originating from the Slavnov-Taylor identities of the theory, may be interpreted as ordinary differential equations for the ``kinetic term''…

High Energy Physics - Phenomenology · Physics 2020-10-28 A. C. Aguilar , M. N. Ferreira , J. Papavassiliou

In this article, we analyze the electromagnetic form factors of the vector heavy-light mesons to the pseudoscalar heavy-light mesons in the framework of three-point QCD sum rules, where the contributions of vacuum condensate terms…

High Energy Physics - Phenomenology · Physics 2024-04-16 Jie Lu , Guo-Liang Yu , Zhi-Gang Wang , Bin Wu

We investigate quarkonium mass spectra in external constant magnetic fields by using QCD sum rules. We first discuss a general framework of QCD sum rules necessary for properly extracting meson spectra from current correlators computed in…

High Energy Physics - Phenomenology · Physics 2015-02-25 Sungtae Cho , Koichi Hattori , Su Houng Lee , Kenji Morita , Sho Ozaki

QCD sum rules are used to compute the first few moments of the mesonic quark momentum. Transverse, longitudinal and mixed transverse-longitudinal components are examined. The transverse size of the pion is shown to be dictated by the gluon…

High Energy Physics - Phenomenology · Physics 2009-10-22 Su H. Lee , T. Hatsuda , G. A. Miller

Two new sets of QCD sum rules for the nucleon axial coupling constants are derived using the external-field technique and generalized interpolating fields. An in-depth study of the predicative ability of these sum rules is carried out using…

Nuclear Theory · Physics 2009-10-30 Frank X. Lee , Derek B. Leinweber , Xuemin Jin

We present the first lattice-QCD validation of multiple sum rules associated with quark-gluon decomposition of hadron mass by computing all components from first principles. We achieve this through nonperturbative renormalization of the QCD…

High Energy Physics - Lattice · Physics 2026-01-21 Dennis Bollweg , Heng-Tong Ding , Xiang Gao , Ran Luo , Swagato Mukherjee

We study the higher order corrections of quark masses to the Gell-Mann$-$Oakes$-$Renner (GOR) relation by constructing QCD sum rules exclusively for pseudoscalar mesons from the axial-vector correlation function, $i \int d^4x~ e^{ip\cdot x}…

High Energy Physics - Phenomenology · Physics 2009-11-07 Hungchong Kim

We revisit QCD sum rules for the decay constants of heavy-light mesons. In the sum rules for the vector mesons B^*_(s) and D^*_(s) we improve the accuracy of OPE, taking into account the O(alpha_s^2) terms in the perturbative part and…

High Energy Physics - Phenomenology · Physics 2015-03-30 Patrick Gelhausen , Alexander Khodjamirian , Alexei A. Pivovarov , Denis Rosenthal

We explore the roles of the trace anomaly in several hadron properties. We derive the scale invariant expression for the pressure from the gravitational form factors (GFF) of QCD which results in consistent results for the mass and rest…

High Energy Physics - Phenomenology · Physics 2023-12-22 Keh-Fei Liu

In this report, I discuss the current state of the problem of the axial anomaly in quantum electrodynamics (QED) and quantum chromodynamics (QCD) and how the axial anomaly is related to the structure of the vacuum in QCD. In QCD, the vacuum…

High Energy Physics - Phenomenology · Physics 2009-11-13 B. L. Ioffe

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

In this paper we visited mass spectra and decay constants of pseudoscalar and vector heavy-light mesons ($B$, $B_s$, $D$ and $D_S$) in the framework of QCD sum rule and quark model. The harmonic oscillator wave function was used in quark…

High Energy Physics - Phenomenology · Physics 2018-11-20 Halil Mutuk

The in-medium masses of the pseudoscalar open charm ($D$, $\bar D$, $D_s$ and $\bar {D_s}$) and open bottom ($B$, $\bar B$, $B_s$ and $\bar {B_s}$) mesons in hot asymmetric strange hadronic matter are studied within a QCD sum rule approach.…

High Energy Physics - Phenomenology · Physics 2025-08-05 Amruta Mishra

In this article, I calculate the contributions of the nuclear matter induced condensates up to dimension 5, take into account the next-to-leading order contributions of the nuclear matter induced quark condensate, study the properties of…

High Energy Physics - Phenomenology · Physics 2016-01-08 Zhi-Gang Wang

A proper way of subtracting the continuum contributions in light-cone QCD sum rules (LCQSR) is demonstrated. Specifically, we calculate the continuum corresponding to a typical OPE appearing in LCQSR by properly combining the double…

High Energy Physics - Phenomenology · Physics 2009-10-31 Hungchong Kim , Su Houng Lee , Makoto Oka

A new QCD calculation of the mass of the nucleon is presented. It makes use of a polynomial kernel in the dispersion integrals tailored to practically eliminate the contribution of the unknown 1/2+ and 1/2- continuum. This approach avoids…

High Energy Physics - Phenomenology · Physics 2010-11-03 N. F. Nasrallah , K. Schilcher

Applications of QCD sum rules to exclusive decays of heavy mesons are reviewed. In detail, we discuss the calculations of the B and $D$ decay constants, the heavy-to-light form factors $f^+(p^2)$ and $f^0(p^2)$, and the strong couplings…

High Energy Physics - Phenomenology · Physics 2016-11-03 A. Khodjamirian , R. Rückl

The isospin-breaking vector meson decay constants are determined from a QCD sum rule analysis of the vector current correlator $<O| T(V^3_\mu V^8_\nu)| O>$, using a recently proposed implementation of the finite energy sum rule approach.…

High Energy Physics - Phenomenology · Physics 2016-08-25 Kim Maltman , Carl E. Wolfe

We present a QCD sum-rule determination of the heavy-quark kinetic energy inside a heavy meson, $-\lambda_1/2 m_Q$, which is consistent with the field-theory analog of the virial theorem. We obtain $-\lambda_1\approx (0.10\pm…

High Energy Physics - Phenomenology · Physics 2009-10-28 Matthias Neubert

In the framework of a specific scheme of the QCD sum rules for $S$-wave levels of the heavy quarkonium, one derives expressions, relating the leptonic constants, the energetic density of quarkonium states and universal characteristics in…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kiselev V.