QCD Factorization for B {r_arrow} {pi}{pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit
Abstract
We show that, in the heavy quark limit, the hadronic matrix elements that enter B meson decays into two light mesons can be computed from first principles, including ''non-factorizable'' strong interaction corrections, and expressed in terms of form factors and meson light-cone distribution amplitudes. The conventional factorization result follows in the limit when both power corrections in 1/m{sub b} and radiative corrections in {alpha}{sub s} are neglected. We compute the order-{alpha}{sub s} corrections to the decays B{sub d} {r_arrow} {pi}{sup +}{pi}{sup {minus}}, B{sub d} {r_arrow} {pi}{sup 0}{pi}{sup 0} and B{sup +} {r_arrow} {pi}{sup +}{pi}{sup 0} in the heavy quark limit and briefly discuss the phenomenological implications for the branching ratios, strong phases and CP violation.
- Authors:
- Publication Date:
- Research Org.:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)
- Sponsoring Org.:
- USDOE Office of Energy Research (ER) (US)
- OSTI Identifier:
- 10079
- Report Number(s):
- SLAC-PUB-8146
TRN: US0103343
- DOE Contract Number:
- AC03-76SF00515
- Resource Type:
- Technical Report
- Resource Relation:
- Other Information: PBD: 14 May 1999
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; B MESONS; BRANCHING RATIO; FACTORIZATION; FORM FACTORS; LIGHT CONE; MATRIX ELEMENTS; QUANTUM CHROMODYNAMICS; QUARKS; RADIATIVE CORRECTIONS; STRONG INTERACTIONS; PIONS MINUS; PIONS NEUTRAL; PIONS PLUS; CP INVARIANCE
Citation Formats
Neubert, Matthias. QCD Factorization for B {r_arrow} {pi}{pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit. United States: N. p., 1999.
Web. doi:10.2172/10079.
Neubert, Matthias. QCD Factorization for B {r_arrow} {pi}{pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit. United States. doi:10.2172/10079.
Neubert, Matthias. Fri .
"QCD Factorization for B {r_arrow} {pi}{pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit". United States.
doi:10.2172/10079. https://www.osti.gov/servlets/purl/10079.
@article{osti_10079,
title = {QCD Factorization for B {r_arrow} {pi}{pi} Decays: Strong Phases and CP Violation in the Heavy Quark Limit},
author = {Neubert, Matthias},
abstractNote = {We show that, in the heavy quark limit, the hadronic matrix elements that enter B meson decays into two light mesons can be computed from first principles, including ''non-factorizable'' strong interaction corrections, and expressed in terms of form factors and meson light-cone distribution amplitudes. The conventional factorization result follows in the limit when both power corrections in 1/m{sub b} and radiative corrections in {alpha}{sub s} are neglected. We compute the order-{alpha}{sub s} corrections to the decays B{sub d} {r_arrow} {pi}{sup +}{pi}{sup {minus}}, B{sub d} {r_arrow} {pi}{sup 0}{pi}{sup 0} and B{sup +} {r_arrow} {pi}{sup +}{pi}{sup 0} in the heavy quark limit and briefly discuss the phenomenological implications for the branching ratios, strong phases and CP violation.},
doi = {10.2172/10079},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Fri May 14 00:00:00 EDT 1999},
month = {Fri May 14 00:00:00 EDT 1999}
}
-
We show that, in the heavy quark limit, the hadronic matrix elements that enter B meson decays into two light mesons can be computed from first principles, including {open_quotes}nonfactorizable{close_quotes} strong interaction corrections, and expressed in terms of form factors and meson light-cone distribution amplitudes. The conventional factorization result follows in the limit when both power corrections in 1/m{sub b} and radiative corrections in {alpha}{sub s} are neglected. We compute the order-{alpha}{sub s} corrections to the decays B{sub d}{r_arrow}{pi}{sup +}{pi}{sup {minus}} , B{sub d}{r_arrow}{pi}{sup 0}{pi}{sup 0} , and B{sup +}{r_arrow}{pi}{sup +}{pi}{sup 0} in the heavy quark limit and briefly discuss themore »
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We point out the strong correlation between the CP-violating asymmetries in the decays B{sup o} {yields} {Psi}K{sub s} and B{sup o} {yields} {pi}{sup +}{pi}{sup {minus}} that is predicted by the Kobayashi-Maskawa model. This results in a very restricted allowed region for the asymmetries, and so their measurement will provide a powerful test of the standard model. To show how new physics may give very different results, we look at the predictions of a simple model where both the standard model and superweak contributions to the K{sup o} and B{sup o} mass matrices coexist. We find that, for possible values ofmore »