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

preprint2010arXivOpen access

Abstract

We propose a new method to extract the light quark mass ratio mu/mdm_u/m_d using the Υ(4S)→hbπ0(η)Υ(4S)\to h_bπ^0(η) 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 Υ(4S)→hbηΥ(4S)\to h_bη is expected to be a nice channel for searching for the hbh_b state.

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