$Υ$ radiative decays to light quark jets and color octet mechanism

Details $Υ$ radiative decays to light quark jets and color octet mechanism $Υ$ radiative decays to light quark jets and color octet mechanism

2006-06-15

arxiv.org/abs/hep-ph/0606170v2

Commun.Theor.Phys.46:1017-1022,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

journal version; a few references added

Scientific paper

10.1088/0253-6102/46/6/012

We study radiative decays of $\Upsilon$ to light quark jets in nonrelativistic QCD by taking both the color singlet and color octet $b\bar b$ operators into consideration. The cut for quark jet energy and cut for the angle between two quark jets are introduced. The sensitivity to the soft and collinear singularities in the loop integrals are greatly reduced by these cuts. With the jet energy cut of about 1 GeV, and the jet angle cut of about $36^\circ$, the branching ratio for $\Upsilon\to\gamma q\bar q$ is found to be $8.2\times 10^{-4}$ from color singlet contributions. The color octet contributions could be much larger than that of color singlet, depending on the estimate of the color octet matrix elements. This process may provide a new test for the color octet mechanism in nonrelativistic QCD.

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