### Abstract

We propose a new method for the precise determination of |V_{td}/V_{ub}| 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 |V_{td}/V_{ub}| with little theoretical uncertainty, when very small isospin breaking effects are neglected. As is well known, |V_{td}/V_{ub}| 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)/dq^{2} and the ratio of the differential rates dB(B→ρνν̄)/dq^{2}/ dB(B→K*νν̄)/dq^{2} as well as B(B→ρνν̄)/B(B→K*νν̄) and B(B→πνν̄)/B(B→Kνν̄).

Original language | English |
---|---|

Article number | 013003 |

Pages (from-to) | 130031-130035 |

Number of pages | 5 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 58 |

Issue number | 1 |

Publication status | Published - 1998 Jul 1 |

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### All Science Journal Classification (ASJC) codes

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

### Cite this

_{td}/V

_{ub}| (=sin γ/sin β within the SM) through B→Mνν̄ (M=π,K,ρ,K*) decays.

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*58*(1), 130031-130035. [013003].

}

_{td}/V

_{ub}| (=sin γ/sin β within the SM) through B→Mνν̄ (M=π,K,ρ,K*) decays',

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 58, no. 1, 013003, pp. 130031-130035.

**Measuring |V _{td}/V_{ub}| (=sin γ/sin β within the SM) through B→Mνν̄ (M=π,K,ρ,K*) decays.** / Aliev, T. M.; Kim, Choong Sun.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Measuring |Vtd/Vub| (=sin γ/sin β within the SM) through B→Mνν̄ (M=π,K,ρ,K*) decays

AU - Aliev, T. M.

AU - Kim, Choong Sun

PY - 1998/7/1

Y1 - 1998/7/1

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).

UR - http://www.scopus.com/inward/record.url?scp=0542445154&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0542445154&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0542445154

VL - 58

SP - 130031

EP - 130035

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 1

M1 - 013003

ER -

_{td}/V

_{ub}| (=sin γ/sin β within the SM) through B→Mνν̄ (M=π,K,ρ,K*) decays. Physical Review D - Particles, Fields, Gravitation and Cosmology. 1998 Jul 1;58(1):130031-130035. 013003.