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Title: 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}
}

Technical Report:

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  • 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 » phenomenological implications for the branching ratios, strong phases and {ital CP } violation. {copyright} {ital 1999} {ital The American Physical Society}« less
  • The recently observed B{sup {minus}} {r_arrow} K{sup {minus}} {pi} {sup 0}, {bar K}{sup 0} {pi} {sup {minus}} and {bar B} {sup 0} {r_arrow} K{sup {minus}} {pi} {sup +} decay modes appear to have nearly equal branching ratios. This suggests that tree and electroweak penguins play an important role, and inclusion of the latter improves agreement between factorization calculation and experimental data. The value of {gamma} in the range of 90{degree} {endash} 130{degree} and 220{degree} {endash} 260{degree} is favored, while the {bar B} {sup 0} {r_arrow} {bar K} {sup 0} {pi} {sup 0} rate is suppressed. Direct CP violation for B{r_arrow}more » K{pi} modes can be large if final state interaction phases are large. {copyright} {ital 1999} {ital The American Physical Society}« less
  • A sample of 23 million B{bar B} events collected with the BABAR detector at the PEP-II collider is used in a search for direct CP violation in charmless two-body B decays, quasi two-body B decays, and the radiative penguin decays B {yields} K*{gamma}. No evidence for direct CP violation is found in the considered modes and 90% confidence level limits are reported. We also present a limit on the branching fraction of the decay B{sup 0} {yields} {gamma}{gamma}.
  • The authors present BABAR experiment studies to observe CP violation in the two-body decays ({pi}K and {pi}{pi}) and the quasi two-body decays ({rho}K and {rho}{pi}) of B mesons. The results are obtained from data samples of about 89(123) million {Upsilon}(4S) {yields} B{bar B} decays collected between 1999 and 2002(2003) with the BABAR detector at the PEP-II asymmetric-energy B Factory at SLAC.
  • 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 » the parameters, practically any values are allowed for the asymmetries.« less