Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-01-20
Phys.Rev.D62:034001,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
Scientific paper
10.1103/PhysRevD.62.034001
We show how to compute loop graphs in heavy baryon chiral perturbation theory including the full functional dependence on the ratio of the Delta--nucleon mass difference to the pion mass, while at the same time automatically incorporating the 1/N cancellations that follow from the large-N spin-flavor symmetry of baryons in QCD. The one-loop renormalization of the baryon axial vector current is studied to demonstrate the procedure. A new cancellation is identified in the one-loop contribution to the baryon axial vector current. We show that loop corrections to the axial vector currents are exceptionally sensitive to deviations of the ratios of baryon-pion axial couplings from SU(6) values.
Flores-Mendieta Ruben
Hofmann Christoph P.
Jenkins Elizabeth
~Manohar Aneesh V.
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