English

Z_{c,b}-like states from QCD Laplace sum rules at NLO

High Energy Physics - Phenomenology 2021-11-09 v2

Abstract

We review our results on ZcZ_{c}-like states[1] which we complete with the ones on ZbZ_{b}-like states by using relativistic QCD Laplace Sum Rules (LSR) within stability criteria and including Factorized Next-to-Leading Order (FNLO) Perturbative (PT) corrections and Lowest Order (LO) QCD condensates up to G3\langle G^3 \rangle. We emphasize the importance of PT radiative corrections for heavy quark sum rules in order to justify the use of the running heavy quark mass in the analysis. Our estimates are compiled in Tables 3 and 4. From our results, the observed Zcs(3983)Z_{cs}(3983) state are good candidate for being Tcs{\mathcal T}_{cs} tetramole (superposition of nearly degenerated molecules and tetraquark states having the same quatum numbers JPCJ^{PC} and with almost the same couplings to the currents). The ZcsZ_{cs} bump around 4100 MeV can be interpreted as a combination of D0Ds1D^{*}_{0}D_{s1} and Ds0D1D^{*}_{s0}D_{1} molecules. The physical states Zcs(4000)Z_{cs}(4000) and Zcs(4220)Z_{cs}(4220) found by LHCb are too low to be considered as the first radial excitations of Zcs(3983)Z_{cs}(3983). For the future ZbZ_{b}, ZbsZ_{bs} and ZbssZ_{bss}, we suggest to scan the region around (10.310.9)(10.3 \sim 10.9) GeV while the 1st radial excitations are about 2.4 GeV above the ground states.

Keywords

Cite

@article{arxiv.2110.05956,
  title  = {Z_{c,b}-like states from QCD Laplace sum rules at NLO},
  author = {S. Narison and D. Rabetiarivony},
  journal= {arXiv preprint arXiv:2110.05956},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:2102.08776