Resummation Study on Decay $ρ\toππ$ in $U(2)_L\times U(2)_R$ Chiral Theory of Mesons

Details Resummation Study on Decay $ρ\toππ$ in $U(2)_L\times U(2)_R$ Chiral Theory of Mesons Resummation Study on Decay $ρ\toππ$ in $U(2)_L\times U(2)_R$ Chiral Theory of Mesons

2003-01-15

arxiv.org/abs/hep-ph/0301102v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, 2 figures

Scientific paper

We improve $O(p^4)$ calculation in $U(2)_L\times U(2)_R$ chiral theory of
mesons by resummation calculation for vector mesons physics and restudy decay
$\rho\to\pi\pi$. A complete and compact expression for $f_{\rho\pi\pi}(p^2)$
(up to $O(p^\infty)$) is obtained, from which an important non-perturbative
conclusion is given based on convergence and unitarity consideration.

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