Flavor-singlet light-cone amplitudes and radiative Upsilon decays in SCET

Details Flavor-singlet light-cone amplitudes and radiative Upsilon decays in SCET Flavor-singlet light-cone amplitudes and radiative Upsilon decays in SCET

2004-07-22

arxiv.org/abs/hep-ph/0407259v1

Phys.Rev. D70 (2004) 094016

Physics

High Energy Physics

High Energy Physics - Phenomenology

19 pages with 8 figures

Scientific paper

10.1103/PhysRevD.70.094016

We study the evolution of flavor-singlet, light-cone amplitudes in the soft-collinear effective theory (SCET), and reproduce results previously obtained by a different approach. We apply our calculation to the color-singlet contribution to the photon endpoint in radiative Upsilon decay. In a previous paper, we studied the color-singlet contributions to the endpoint, but neglected operator mixing, arguing that it should be a numerically small effect. Nevertheless the mixing needs to be included in a consistent calculation, and we do just that in this work. We find that the effects of mixing are indeed numerically small. This result combined with previous work on the color-octet contribution and the photon fragmentation contribution provides a consistent theoretical treatment of the photon spectrum in radiative Upsilon decay.

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