arXiv:hep-ph/0611075·v2·High Energy Physics — Phenomenology

Quantum loops in radiative decays of the $a_{1}$ and $b_{1}$ axial-vector mesons

L.Roca🇪🇸 · A.Hosaka🇯🇵 · E.Oset🇪🇸

Abstract

A previous model where the low-lying axial-vector mesons are dynamically generated, implementing unitarity in coupled channels in the vector-pseudoscalar ( $V P$ ) meson interaction, is applied to evaluate the decay widths of the a_1(1260) $an d$ b_1(1235) $a x ia l - v ec t or m eso n s in t o$ \pi\gamma $. U n l ik e t h ec a seo f t h e$ a_1 $, t h e$ b_1 $r a d ia t i v e d ec a y i ssy s t e ma t i c a l l y u n d er es t ima t e d a tt r ee l e v e l . I n t hi s w or k w ee v a l u a t e f or t h e f i r s tt im e t h e l oo p co n t r ib u t i o n co min g f r o manini t ia l$ VP $v er t e x . D es p i t e t h e l a r g es u p er f i c ia l d i v er g e n ceo f t h e l oo p s, t h eco n v er g e n ceo f t h er e l e v an tl oo p sc anb ees t ab l i s h e d b y u s in g a r g u m e n t so f g a ug e in v a r ian ce . T h e p a r t ia l d ec a y w i d t h so b t ain e d a g r ee v er y w e l l w i t h t h ee x p er im e n t a l v a l u es w i t hin u n cer t ain t i es, an d s h o w t ha tt h e l oo p co n t r ib u t i o ni scr u c ia l in t h e$ b_1 $c a se an d a l so im p or t an t f or t h e$ a_1$ case.

Comments: 16 pages, 4 figurs Added extra discussion

Quantum loops in radiative decays of the a1​ and b1​ axial-vector mesons

Abstract

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Quantum loops in radiative decays of the $a_{1}$ and $b_{1}$ axial-vector mesons

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