Combining information from B{yields}{pi}{pi} and B{yields}{pi}{rho},{pi}{omega} decays

Journal Article · Wed Jun 01 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.114017· OSTI ID:20709462

Sowa, M; Zenczykowski, P ^[1]

---

1. Dept. of Theoretical Physics, Institute of Nuclear Physics, Polish Academy of Sciences, Radzikowskiego 152, 31-342 Cracow (Poland)

We consider the B{yields}{pi}{pi} and B{yields}{pi}{rho},{pi}{omega} decays alongside each other, taking into account the contributions from all individual penguin amplitudes generated by the internal t, c, and u quarks. We argue that three ratios of penguin amplitudes, each for a different internal quark, formed by dividing the individual penguin amplitude in B{yields}{pi}{pi} by the corresponding amplitude in B{yields}{pi}{rho},{pi}{omega}, should be equal. We study the implications of the assumed existence of this connection between B{yields}{pi}{pi} and B{yields}{pi}{rho},{pi}{omega}. First, accepting that in the B{yields}{pi}{pi} decays the ratio C/T of the color-suppressed factorization amplitude C to the tree factorization amplitude T is negligible, we determine the ratio of individual penguin amplitudes. Then, from the B{yields}{pi}{rho},{pi}{omega} data, we extract the effective (i.e. possibly containing some penguin terms) tree and the effective color-suppressed amplitudes relevant for these processes, and the corresponding solutions for the factorization amplitudes. Finally, we argue that the C/T ratio in B{yields}{pi}{pi} should be identical to its counterpart in B{yields}{pi}{rho},{pi}{omega} (relevant for pion emission from the decaying b quark). This constraint permits the determination of C/T and of other amplitude ratios directly from the data. Although the |C/T| ratio extracted from the available data still carries a substantial error, it is consistent with the expected value of 0.25-0.5.

• OSTI ID: 20709462
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 11 Vol. 71; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
B MESONS
B QUARKS
ERRORS
FACTORIZATION
MATHEMATICAL SOLUTIONS
OMEGA-782 MESONS
PARTICLE DECAY
PIONS
RHO-770 MESONS
U QUARKS