論文

査読有り 本文へのリンクあり
2016年9月29日

Analysis of Dalitz decays with intrinsic parity violating interactions in resonance chiral perturbation theory

PTEP 2018 (2018) 12, 123B02
  • Daiji Kimura
  • ,
  • Takuya Morozumi
  • ,
  • Hiroyuki Umeeda

DOI
10.1093/ptep/pty122

Observables of light hadron decays are analyzed in a model of chiral
Lagrangian which includes resonance fields of vector mesons. In particular,
transition form factors are investigated for Dalitz decays of $V\to Pl^+l^-$
and $P\to \gamma l^+l^-$ $(V=1^-, P=0^-)$. Moreover, the differential decay
width of $P\to \pi^+\pi^-\gamma$ and the partial widths of $P\to2\gamma, V\to
P\gamma, \eta^\prime\to V\gamma, \phi(1020)\to\omega(782)\pi^0$ and $V\to 3P$
are also calculated. In this study, we consider a model which contains octet
and singlet fields as representation of $SU(3)$. As an extension of chiral
perturbation theory, we include 1-loop ordered interaction terms. For both
pseudoscalar and vector meson, we evaluate mixing matrices in which
isospin/$SU(3)$ breaking is taken into account. Furthermore, intrinsic parity
violating interactions are considered with singlet fields. For parameter
estimation, we carry out $\chi^2$ fittings in which a spectral function of
$\tau$ decays, vector meson masses, decay widths of $V\to P\gamma$ and
transition form factor of $V\to Pl^+l^-$ are utilized as input data. Using the
estimated parameter region in the model, we give predictions for decay widths
and transition form factors of intrinsic parity violating decays. As further
model predictions, we calculate the transition form factors of $\phi(1020)\to
\pi^0l^+l^-$ and $\eta^\prime\to\gamma l^+l^-$ in the vicinity of resonance
regions, taking account of the contribution for intermediate $\rho(770)$ and
$\omega(782)$.

リンク情報
DOI
https://doi.org/10.1093/ptep/pty122
arXiv
http://arxiv.org/abs/arXiv:1609.09235
Arxiv Url
http://arxiv.org/abs/1609.09235v3
Arxiv Url
http://arxiv.org/pdf/1609.09235v3 本文へのリンクあり
ID情報
  • DOI : 10.1093/ptep/pty122
  • arXiv ID : arXiv:1609.09235

エクスポート
BibTeX RIS