Charmless B→PPP decays: The fullysymmetric final state
Abstract
In charmless B→PPP decays, where P is a pseudoscalar meson, there are six possibilities for the symmetry of the final state. In this paper, for P=π,K, we examine the properties of the fullysymmetric final state. We present expressions for all 32 B→PPP decay amplitudes as a function of both SU(3) reduced matrix elements and diagrams, demonstrating the equivalence of diagrams and SU(3). We also give 25 relations among the amplitudes in the SU(3) limit, as well as those that appear when the diagrams E /A/PA are neglected. In the SU(3) limit, one has the equalities √2 A_{(B+→K+π+π)FS}=A(B^{+}→K^{+}K^{+}K^{})FS and √2 A(B+→π^{+}K^{+}K^{})FS=A(B^{+}→π^{+}π^{+}π^{})FS, where FS denotes the fullysymmetric final state. These provide good tests of the standard model that can be carried out now by the LHCb Collaboration.
 Publication:

Physical Review D
 Pub Date:
 April 2014
 DOI:
 10.1103/PhysRevD.89.074043
 arXiv:
 arXiv:1402.2909
 Bibcode:
 2014PhRvD..89g4043B
 Keywords:

 13.25.Hw;
 14.40.Nd;
 Decays of bottom mesons;
 Bottom mesons;
 High Energy Physics  Phenomenology
 EPrint:
 24 pages, 1 figure. Several more detailed explanations added. Analysis and conclusions unchanged