Measuring |Vtd/Vub| (=sin γ/sin β within the SM) through B→Mνν̄ (M=π,K,ρ,K*) decays

T. M. Aliev, Choong Sun Kim

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

We propose a new method for the precise determination of |Vtd/Vub| from the ratios of branching ratios B(B→ρνν̄)/B(B→ρlν) and B(B→πνν̄)/B(B→πlν). These ratios depend only on the ratio of the Cabibbo-Kobayashi-Maskawa (CKM) elements |Vtd/Vub| with little theoretical uncertainty, when very small isospin breaking effects are neglected. As is well known, |Vtd/Vub| equals (sin γ/sin β) for the CKM version of CP violation within the standard model. We also give in detail analytical and numerical results on the differential decay width dΓ(B→K*νν̄)/dq2 and the ratio of the differential rates dB(B→ρνν̄)/dq2/ dB(B→K*νν̄)/dq2 as well as B(B→ρνν̄)/B(B→K*νν̄) and B(B→πνν̄)/B(B→Kνν̄).

Original languageEnglish
Article number013003
Pages (from-to)130031-130035
Number of pages5
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume58
Issue number1
Publication statusPublished - 1998 Jul 1

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CP violation
decay

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

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abstract = "We propose a new method for the precise determination of |Vtd/Vub| from the ratios of branching ratios B(B→ρνν̄)/B(B→ρlν) and B(B→πνν̄)/B(B→πlν). These ratios depend only on the ratio of the Cabibbo-Kobayashi-Maskawa (CKM) elements |Vtd/Vub| with little theoretical uncertainty, when very small isospin breaking effects are neglected. As is well known, |Vtd/Vub| equals (sin γ/sin β) for the CKM version of CP violation within the standard model. We also give in detail analytical and numerical results on the differential decay width dΓ(B→K*νν̄)/dq2 and the ratio of the differential rates dB(B→ρνν̄)/dq2/ dB(B→K*νν̄)/dq2 as well as B(B→ρνν̄)/B(B→K*νν̄) and B(B→πνν̄)/B(B→Kνν̄).",
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Measuring |Vtd/Vub| (=sin γ/sin β within the SM) through B→Mνν̄ (M=π,K,ρ,K*) decays. / Aliev, T. M.; Kim, Choong Sun.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 58, No. 1, 013003, 01.07.1998, p. 130031-130035.

Research output: Contribution to journalArticle

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N2 - We propose a new method for the precise determination of |Vtd/Vub| from the ratios of branching ratios B(B→ρνν̄)/B(B→ρlν) and B(B→πνν̄)/B(B→πlν). These ratios depend only on the ratio of the Cabibbo-Kobayashi-Maskawa (CKM) elements |Vtd/Vub| with little theoretical uncertainty, when very small isospin breaking effects are neglected. As is well known, |Vtd/Vub| equals (sin γ/sin β) for the CKM version of CP violation within the standard model. We also give in detail analytical and numerical results on the differential decay width dΓ(B→K*νν̄)/dq2 and the ratio of the differential rates dB(B→ρνν̄)/dq2/ dB(B→K*νν̄)/dq2 as well as B(B→ρνν̄)/B(B→K*νν̄) and B(B→πνν̄)/B(B→Kνν̄).

AB - We propose a new method for the precise determination of |Vtd/Vub| from the ratios of branching ratios B(B→ρνν̄)/B(B→ρlν) and B(B→πνν̄)/B(B→πlν). These ratios depend only on the ratio of the Cabibbo-Kobayashi-Maskawa (CKM) elements |Vtd/Vub| with little theoretical uncertainty, when very small isospin breaking effects are neglected. As is well known, |Vtd/Vub| equals (sin γ/sin β) for the CKM version of CP violation within the standard model. We also give in detail analytical and numerical results on the differential decay width dΓ(B→K*νν̄)/dq2 and the ratio of the differential rates dB(B→ρνν̄)/dq2/ dB(B→K*νν̄)/dq2 as well as B(B→ρνν̄)/B(B→K*νν̄) and B(B→πνν̄)/B(B→Kνν̄).

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