XYZ - SU3 Breakings from Laplace Sum Rule at Higher Orders: Summary

R. Albuquerque , S. Narison (1) , D. Rabetiarivony , G. Randriamanatrika

1 LUPM - Laboratoire Univers et Particules de Montpellier

This talk reviews and summarizes some of our results in [1] on XYZ- SU3 Breakings obtained from QCD Laplace Sum Rules (LSR) at next-to-next-leading order (N2LO) of perturbative (PT) theory and including next-to-leading order (NLO) SU3 breaking corrections and leading order (LO) contributions of dimensions d< (6 - 8) non-perturbative condensates. We conclude that the observed X states are good candidates for being 1^++ and 0^++ molecules states. We find that the SU3 breakings are relatively small for the masses (< 10 (resp. 3) %) for the charm (resp. bottom) channels while they are large (< 20 %) for the couplings. Like in the chiral limit case, the couplings decrease faster: 1/m_b^3/2 than 1/m_b^1/2 of HQET. Our approach cannot clearly separate ( within the errors ) some molecule states from the four-quark ones with the same quantum numbers.

Mots clés: sum rule: Laplace; higher-order: 2; higher-order: 0; Heavy Quark Effective Theory; quantum chromodynamics; condensation; nonperturbative; quantum number; meson: molecule; tetraquark; chiral; charm; bottom; symmetry breaking: SU(3); X(3872); Y(4260); Z(3895)

Domaines: Physique des Hautes Energies - Phénoménologie [hep-ph]; Physique des Hautes Energies - Expérience [hep-ex]; Physique des Hautes Energies - Réseau [hep-lat]

R. Albuquerque, S. Narison, D. Rabetiarivony, G. Randriamanatrika. XYZ - SU3 Breakings from Laplace Sum Rule at Higher Orders: Summary. 20th High-Energy Physics International Conference in Quantum Chromodynamics, Jul 2017, Montpellier, France. ⟨hal-01703650⟩