Extracting the light quark mass ratio m_u/m_d from bottomonia transitions

Abstract

We propose a new method to extract the light quark mass ratio $m_u/m_d$ using the ${\rm Y}(4S)\to h_b{\pi }^0(\eta )$ bottomonia transitions. The decay amplitudes are dominated by the light quark mass differences, and the corrections from other effects are rather small, allowing for a precise extraction. We also discuss how to reduce the theoretical uncertainty with the help of future experiments. As a by-product, we show that the decay ${\rm Y}(4S)\to h_b\eta$ is expected to be a nice channel for searching for the $h_b$ state.

4 pages, 1 figure. Version slightly shortened to match the published version in PRL

References in corpus (2)

• Novel analysis of the decays psi' -> h_c pi^0 and eta_c'-> chi_{c0} pi^0
• Mass splittings within heavy baryon isospin multiplets in chiral perturbation theory

Cited by in corpus (2)

• Effect of charmed meson loops on charmonium transitions
• Hadron physics potential of future high-luminosity B-factories at the Upsilon(5S) and above