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
- ,
- ,
- 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
$\omega(782)$.
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