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Related papers: The DMO Sum Rule Revisited

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A new calculation of the isospin and hypercharge axialvector current propagators ($\Delta_{A33}^{\mu\nu}(q^2)$ and $\Delta_{A88}^{\mu\nu}(q^2)$) to two loops in SU(3) x SU(3) chiral perturbation theory is used to derive chiral spectral…

High Energy Physics - Phenomenology · Physics 2009-10-30 Eugene Golowich , Joachim Kambor

We perform a calculation of the isospin and hypercharge axialvector current propagators to two loops in SU(3)xSU(3) chiral perturbation theory. A large number of order p^6 divergent counterterms are fixed, and complete two-loop renormalized…

High Energy Physics - Phenomenology · Physics 2009-10-30 Eugene Golowich , Joachim Kambor

A general class of inverse-moment sum rules was previously derived by the authors in a chiral perturbation theory (ChPT) study at two-loop order of the isospin and hypercharge vector-current propagators. Here, we address the evaluation of…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eugene Golowich , Joachim Kambor

We perform a calculation of the isospin and hypercharge vector current propagators ($\Delta_{V33}^{\mu\nu}(q^2)$ and $\Delta_{V88}^{\mu\nu}(q^2)$) to two loops in chiral perturbation theory. The analysis is carried out with straightforward…

High Energy Physics - Phenomenology · Physics 2009-10-28 Eugene Golowich , Joachim Kambor

The forms of the neutral, non-strange pseudoscalar propagator matrix and mixed axial current correlator, $\lngle0|T(A_\mu^3 A_\nu^8)|0\rangle$, are discussed at next-to-leading (one-loop) order in chiral perturbation theory, and the results…

High Energy Physics - Phenomenology · Physics 2009-10-28 Kim Maltman

The Das-Mathur-Okubo (DMO) sum rule for the polarizability of charged pions is evaluated for the Nambu-Jona-Lasinio model Lagrangian in both its minimal and extended forms. A comparison is made with the results obtained using the same sum…

High Energy Physics - Phenomenology · Physics 2009-12-31 S. P. Klevansky , R. H. Lemmer , C. Wilmot

The strange quark mass is calculated from QCD sum rules for the divergence of the vector as well as axial-vector current in the next-next-to-leading logarithmic approximation. The determination for the divergence of the axial-vector current…

High Energy Physics - Phenomenology · Physics 2008-11-26 Matthias Jamin , Manfred M"unz

We elaborate on a recently proposed extension of the Gerasimov-Drell-Hearn (GDH) sum rule which is achieved by taking derivatives with respect to the anomalous magnetic moment. The new sum rule features a {\it linear} relation between the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. R. Holstein , V. Pascalutsa , M. Vanderhaeghen

We propose a new estimate of the process $B \to (\rho, \omega)+ \gamma$ by using the light-cone QCD sum rule. The aim is to choose the chiral quark current operators in order to eliminate the uncertainty arising from the chiral-even…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tao Huang , Zuohong Li , Haidong Zhang

We use QCD spectral sum rules (QSSR) and the factorization properties of molecule and four-quark currents to estimate the masses and couplings of the 0+ and 1+ molecules and four-quark at N2LO of PT QCD. We include in the OPE the…

High Energy Physics - Phenomenology · Physics 2018-01-30 R. M Albuquerque , S. Narison , F. Fanomezana , A. Rabemananjara , D. Rabetiarivony , G. Randriamanatrika

We present an analysis of four sum rules, each based on chiral symmetry and containing the difference $\rho_{\rm V}(s) - \rho_{\rm A}(s)$ of isovector vector and axialvector spectral functions. Experimental data from tau lepton decay and…

High Energy Physics - Phenomenology · Physics 2009-10-22 John F. Donoghue , Eugene Golowich

An evaluation of charged pion polarizability using correlation functions measured on a 16^{3}\times 24 lattice in the context of the Das, Mathur, Okubo (DMO) sum rule is carried out. The calculation is limited to the so-called intrinsic…

High Energy Physics - Lattice · Physics 2011-07-19 Walter Wilcox

We calculate the correlator between two external vector-currents having the quantum-numbers of a charged kaon. We give the renormalized expression to two loops in standard chiral perturbation theory in the isospin limit, which, as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 Stephan Dürr , Joachim Kambor

QCD sum rules are useful tools for studying the spectral properties of hadrons; however, assumptions underlying standard sum-rule analyses can lead to inconsistencies with known results of chiral perturbation theory. This possibility is…

High Energy Physics - Phenomenology · Physics 2009-10-28 David K. Griegel , Thomas D. Cohen

The mixed-isospin vector current correlator, $\langle 0\vert T(V^\rho_\mu V^\omega_\nu )\vert 0\rangle$ is evaluated using both QCD sum rules and Chiral Perturbation Theory (ChPT) to one-loop order. The sum rule treatment is a modification…

High Energy Physics - Phenomenology · Physics 2014-11-17 Kim Maltman

We study the chiral loop corrections to the generalized Gerasimov-Drell-Hearn sum rule of the nucleon for finite photon virtuality in the framework of a Lorentz-invariant formulation of baryon chiral perturbation theory. We perform a…

High Energy Physics - Phenomenology · Physics 2009-11-07 Véronique Bernard , Thomas R. Hemmert , Ulf-G. Meißner

Data on pion polarizabilities obtained in different experiments are reviewed. The values of the dipole and quadrupole polarizabilities of the pi^0 and pi^{+-} mesons found are compared with predictions of dispersion sum rules (DSRs) and…

Nuclear Theory · Physics 2008-02-18 L. V. Fil'kov , V. L. Kashevarov

Charge sum rules for quark fragmentation functions are studied. The simultaneous implementation of the conservation of electric and baryon charges, strangeness and isospin symmetry is achieved when the fragmentation to both mesons and…

High Energy Physics - Phenomenology · Physics 2025-09-24 D. Kotlorz , O. V. Teryaev

We determine the strange quark mass in the framework of finite energy sum rules from the vector current channel. The theoretical contributions are calculated in contour improved perturbation theory and a substantial difference to fixed…

High Energy Physics - Phenomenology · Physics 2007-05-23 Markus Eidemuller , Matthias Jamin , Felix Schwab

We derive two sum rules by studying the low energy Compton scattering on a target of arbitrary (nonzero) spin j. In the first sum rule, we consider the possibility that the intermediate state in the scattering can have spin |j \pm 1| and…

High Energy Physics - Theory · Physics 2012-10-11 Hovhannes R. Grigoryan , Massimo Porrati
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