Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-09-23
Phys.Lett. B634 (2006) 508-513
Physics
High Energy Physics
High Energy Physics - Phenomenology
LaTeX, 7 pages, 2 figures, uses cernrep.cls (included)
Scientific paper
10.1016/j.physletb.2006.02.002
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 $\approx 1.82 \times 10^{-3}$ 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.
Pasupathy J.
Singh Janardan P.
Singh Ritesh K.
Upadhyay Alka
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