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26 April 2024

» arxiv » hep-ph/0509260

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The derivative of the topological susceptibility at zero momentum and an estimate of $eta'$ mass in the chiral limit
J. Pasupathy ; J. P. Singh ; R. K. Singh ; A. Upadhyay ;
Date:	23 Sep 2005
Subject:	hep-ph
Abstract:	The anomaly-anomaly correlator is studied using QCD sum rules. Using the matrix elements of anomaly between vacuum and pseudoscalars $pi, eta$ and $eta’$, the derivative of correlator $chi’(0)$ is evaluated and found to be $approx 1.82 imes 10^{-3}$ GeV$^2$. Assuming that $chi’(0)$ has no significant dependence on quark masses, the mass of $eta’$ in the chiral limit is found to be $approx$723 MeV. The same calculation also yields for the singlet pseudoscalar decay constant in the chiral limit a value of $approx 178$ MeV.
Source:	arXiv, hep-ph/0509260
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