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

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

2010-07-27

arxiv.org/abs/1007.4682v2

Phys.Rev.Lett.105:162001,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevLett.105.162001 1

We propose a new method to extract the light quark mass ratio $m_u/m_d$ using the $\Upsilon(4S)\to h_b\pi^0(\eta)$ 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 $\Upsilon(4S)\to h_b\eta$ is expected to be a nice channel for searching for the $h_b$ state.

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