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The assumption that the newly observed charged bottomonia states Z_b(10610)and Z_b(10650) are of molecular nature is confronted with the measuredinvariant mass distributions for the transitions of the Upsilon(5S) to thefinal states h_b pi^+ pi^- and h_b(2P) pi^+ pi^-. It is shown that theassumption that the Z_b(10610) and Z_b(10650) are B\bar B^*+{\rm c.c.} andB^*\bar B^* bound states, respectively, with very small binding energies isconsistent with the data. The calculation is based on a power counting forbottom meson loops, which is explicitly given up to two-loop in the frameworkof a nonrelativistic effective field theory. We also show that if the Z_bstates are of molecular nature, then the data should not be analyzed by using aBreit-Wigner parametrization.

Bound state nature of the exotic Z_b states