Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-07-03
Mod.Phys.Lett. A13 (1998) 1347-1360
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, 1 postscript figure
Scientific paper
10.1142/S0217732398001418
We employ Chiral Perturbation Theory (ChPT) to evaluate the complete set of pseudoscalar matrix elements, <0|P_f|pi^0,eta>, with P_f any of the flavor-diagonal pseudoscalar currents (f=u,d,s), to order (m_d-m_u), and to next-to-leading order in the chiral expansion. These matrix elements represent the basic input to a QCD sum rule analysis of isospin breaking in the pi NN couplings using the three-point-function method. We discuss also how one could use the results to construct a one parameter family of interpolating fields for the $\pi^0$, all of whose members have zero vacuum-to-$\eta$ matrix element, and explain how this could in principle be used to provide non-trivial tests of the reliability of the assumptions underlying the use of the three-point-function method. It is shown that the isospin-breaking mixing parameters required for this construction receive significant corrections beyond leading order in the chiral expansion.
Maltman Kim
Wolfe Carl E.
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