Resonance a1(1420) and the Three-Pion Decays of the Tauon
Abstract
The role of the a1(1420) resonance in the three-pion decays of the tau lepton is investigated using a phenomenological model. For all data before 2008, roughly equal fit quality is achieved when the basic a1(1260) resonance is supplemented with either a1(1640) or a1(1420). However, two recent and more precise data sets require resonances with masses that are not very far from that of a1(1420). This suggests that the axial-vector resonance that accompanies the a1(1260) in the three-pion decays of the tauon is a1(1420), not a1(1640), as believed up to now. More data are needed to demonstrate this definitely.
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