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LBNL 53794 WIS 25 03 Oct DPP SLAC PUB 10199 hep ph 0310242 Comment on extracting from B Adam F Falk 1 Zoltan Ligeti 2 Yosef Nir 3 and Helen Quinn4 1 Department of Physics and Astronomy The Johns Hopkins University 3400 North Charles Street Baltimore MD 21218 USA 2 Ernest Orlando Lawrence Berkeley National Laboratory University of California Berkeley CA 94720 USA 3 Department of Particle Physics Weizmann Institute of Science Rehovot 76100 Israel 4 Stanford Linear Accelerator Center Stanford University Menlo Park CA 94025 USA Abstract Recent experimental results on B decays 1 3 indicate that the CP asymmetry S will In the limit when the width is give an interesting determination of arg Vtd Vtb Vud Vub neglected the B isospin analysis can also be applied to B once an angular analysis is used to separate transversity modes The present bound on the shift of S from the true sin 2 is already stronger than it is for S We point out a subtle violation of the isospin relations when the two mesons are observed with different invariant masses and how to constrain this effect experimentally Electronic address falk jhu edu Electronic address zligeti lbl gov Electronic address yosef nir weizmann ac il Electronic address quinn slac stanford edu Work supported in part by the Department of Energy contract DE AC03 76SF00515 I INTRODUCTION Rates and polarization fractions for various B decays have been recently measured 1 3 First measurements of CP asymmetries in these modes are expected in the near future This note is a brief comment on the application of isospin analysis to these modes similar to that for channels 4 to extract Standard Model parameters and in particular the CKM phase 2 arg Vtd Vtb Vud Vub from these measurements It is important to constrain such CKM phases as precisely as possible in many independent ways Inconsistent results from different approaches could be an indicator of new physics as various measurements that are related in the Standard Model can be affected



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