$ \bar D^*D$ and $\bar B^*B~(1^{++})$ molecules at N2LO from QSSR

F. Fanomezana; S. Narison; A. Rabemananjara

$ \bar D^D$ and $\bar B^B~(1^{++})$ molecules at N2LO from QSSR

High Energy Physics - Phenomenology 2014-10-01 v1

Authors: F. Fanomezana , S. Narison , A. Rabemananjara

Abstract

We use QCD spectral sum rules (QSSR) and the factorization properties of molecule currents to estimate the masses and couplings of the $\bar D^*D$ and $\bar B^*B~(1^{++})$ molecules at N2LO of PT QCD. We include in the OPE the contributions of non-perturbative condensates up to dimension-eight. With the Laplace sum rules approach (LSR) and in the $\overline{MS}$ -scheme, we obtain $M_{D^*D}=3738(152)$ MeV, which agrees within the errors with the newly discovered $Z_c$ (3900). For the bottom channel, we find $M_{B^*B}=10687(232)$ MeV in good agreement with the observed $Z_b$ (10610). Couplings of these states to the currents are also extracted. Our results are improvements of the LO ones in the existing literature.

Keywords

QCD spectral sum rules molecule currents heavy meson molecules N2LO non-perturbative condensates Laplace sum rules Z_c(3900) Z_b(10610)

Cite

@article{arxiv.1409.8591,
  title  = {$ \bar D^*D$ and $\bar B^*B~(1^{++})$ molecules at N2LO from QSSR},
  author = {F. Fanomezana and S. Narison and A. Rabemananjara},
  journal= {arXiv preprint arXiv:1409.8591},
  year   = {2014}
}

Comments

4 pages, 9 figures, 1 table, Talk given at the 17th International Conference on Quantum Chromodynamics (QCD 14) (29 june - 3 july 2014, Montpellier-France), to appear in Nucl. Phys. B (Proc. Suppl.)