$CP$ violation and the absence of second class currents in charmless $B$ decays

S. Laplace; V. Shelkov

doi:doi:10.1007/s100520100810

EPJ

a
b
c
d
e
ap
st
h
plus
ds
pv
ti
qt
am
n

2024 Impact factor 4.8

Particles and Fields

Eur. Phys. J. C 22, 431-438 (2001)
DOI: 10.1007/s100520100810

CP violation and the absence of second class currents in charmless B decays

S. Laplace¹ and V. Shelkov²

¹ Laboratoire de l'Accélérateur Linéaire, IN2P3-CNRS et Université Paris-Sud, BP 34, 91898 Orsay Cedex, France
² Lawrence Berkeley National Laboratory, 1, Cyclotron Road, Berkeley, CA 94720, USA

(Received: 3 July 2001 / Revised version: 19 September 2001 Published online: 21 November 2001 - © Springer-Verlag / Società Italiana di Fisica 2001 )

Abstract
The absence of second class currents together with the assumption of the factorization for non-leptonic B decays provide new constraints on CP observables in the decay $B \rightarrow a_0(980)(\rightarrow \eta\pi)\pi$ . The kinematics of this decay does not allow for interference between the oppositely charged resonances in the Dalitz plot as in $B^0 \rightarrow \rho(770)\pi$ . Nonetheless, under the assumption of factorization, the $B \rightarrow a_0\pi$ two-body time-dependent isospin analysis leads to a more robust extraction of the angle $\alpha$ than in the $B \rightarrow \rho\pi$ isospin-pentagon analysis. The absence of second class currents might lead to enhanced direct CP violation and/or allows for a test of some assumptions made in the $\alpha$ analysis in other decays like $B \to a_0 \rho$ , $B \rightarrow b_1(1235)\pi$ , $B\to a_0 a_0$ , $B\to \eta(\eta')\pi\pi$ and $B\to b_1 a_0$ . The effects from non-factorizable contributions on the determination of $\alpha$ are estimated by means of a numerical study.