Publications
Publication Information
| Title | $\tau \to 3 \pi \nu_\tau$ decays with dispersive constraints |
| Authors | Alexander Friendland, Sergi Gonzalez-Solis, Emilie Passemar |
| JLAB number | JLAB-THY-19-2969 |
| LANL number | (None) |
| Other number | DOE/OR/23177-4717 |
| Document Type(s) | (Journal Article) |
| Associated with EIC: | No |
| Supported by Jefferson Lab LDRD Funding: | No |
| Funding Source: | Nuclear Physics (NP) |
| Other Funding: | National Science Foundation |
|
Journal Compiled for Journal of High Energy Physics | |
| Publication Abstract: | The {\pi^-\to\(3pi^-)V-pi} decays offer a good environment to study the three-pion dynamics. From the point of view of strong interactions, the 3pi system in the final state is isolated thus providing a clean laboratory for studying the properties of the produced axial a_1(1260)-meson. In this work, we provide a description of the contributing axial-vector form factor that is based on constraints posed by analyticity and unitarity, and by chiral symmetry to a lesser extent, and we probe its application against the measurement of the axial-vector spectral function reported by the ALEPH collaboration in 2014. A satisfactory description of experimental data is achieved working with a twice-subtracted dispersion relation without the need to include other intermediate states than the contributions of the p(770), a_1(1260) and a_1(1640) resonances. As a side result, the axial form factor parametrization as extracted from this theoretically clean data will be used as input to describe the axial-vector form factor of the nucleon. |
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| Group: | THEORY CENTER |
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