CP violation in the exclusive decays B{r_arrow}{pi}e{sup +}e{sup {minus}} and B{r_arrow}{rho}e{sup +}e{sup {minus}}

Journal Article · Sat Nov 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.56.5452· OSTI ID:543884

Krueger, F; Sehgal, L M ^[1]

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1. Institut fuer Theoretische Physik (E), RWTH Aachen, D-52056 Aachen (Germany)

As a sequel to the calculation of the CP-violating asymmetry in the decay rates of b{r_arrow}dl{sup +}l{sup {minus}} and {bar b}{r_arrow}{bar d}l{sup +}l{sup {minus}}, we address in this paper the asymmetry in exclusive channels {bar B}{r_arrow}{pi}e{sup +}e{sup {minus}} and {bar B}{r_arrow}{rho}e{sup +}e{sup {minus}}, using form factors from two different models. In the invariant mass region 1GeV{lt}{radical} (s) {lt}M{sub J/{psi}}, the partial width asymmetry in the channel {bar B}{r_arrow}{pi} is {minus}6{percent} ({minus}2{percent}), and that in the channel {bar B}{r_arrow}{rho}, for one choice of form factors, is {minus}5{percent} ({minus}2{percent}), assuming Cabibbo-Kobayashi-Maskawa parameters {eta}=0.34, {rho}=0.3 ({minus}0.3). We also calculate the forward-backward asymmetry A{sub FB} of the e{sup {minus}} in the e{sup +}e{sup {minus}} center-of-mass system, and find average values {l_angle}A{sub FB}{r_angle}{sub {bar B}{r_arrow}{pi}}{equivalent_to}0, {l_angle}A{sub FB}{r_angle}{sub {bar B}{r_arrow}{rho}}={minus}17{percent}, to be compared with the inclusive result {l_angle}A{sub FB}{r_angle}{sub b{r_arrow}d}={minus}9{percent}. There is a CP-violating difference between A{sub FB} and the corresponding asymmetry in the antiparticle channel {bar A}{sub FB}. Formulas are given that are applicable to any flavor-changing neutral current channel {bar B}{r_arrow}P{sub q}(V{sub q})l{sup +}l{sup {minus}}, q=s,d, with m{sub l}{ne}0, including lepton spin effects. An approximate procedure is used to incorporate the {rho}, {omega}, and J/{psi} resonances. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 543884
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 9 Vol. 56; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
B MESONS
CP INVARIANCE
ELECTRONS
FLAVOR
FORM FACTORS
KOBAYASHI-MASKAWA MATRIX
NEUTRAL CURRENTS
PIONS
POSITRONS
RHO-770 MESONS
SEMILEPTONIC DECAY
STANDARD MODEL
VIOLATIONS