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

F. Fanomezana; S. Narison; A. Rabemananjara

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arXiv · 1409.8591

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

F. Fanomezana·S. Narison·A. Rabemananjara

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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.

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F. Fanomezana, S. Narison, A. Rabemananjara. 2014-09-30. $ \bar D^*D$ and $\bar B^*B~(1^{++})$ molecules at N2LO from QSSR. https://arxiv.org/abs/1409.8591

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