Padé approximants to B → π ℓ ν ℓ and B s → K ℓ ν ℓ and determination of | V u b |

Gonzàlez-Solís, Sergi; Masjuan, Pere; Rojas, Camilo

doi:10.1103/PhysRevD.104.114041

Title: Padé approximants to $B \to π ℓ ν_{ℓ}$ and $B_{s} \to K ℓ ν_{ℓ}$ and determination of $| V_{u b} |$

Abstract

In light of the first observation of the semileptonic decay $$B^0_s$$ → $$K^{–}μ^{+}ν_{μ}$$ by the LHCb Collaboration, we revisit the determination of the Cabibbo-Kobayashi-Maskawa parameter |V_ub| from exclusive semileptonic B-meson decays. A controlled theoretical input on the Standard Model B → π and B_s → K vector and scalar form factors from Lattice QCD in the large q² region, in combination with experimental measurements of the differential B → πℓν_ℓ and $$B^0_s$$ → $$K^{–}μ^{+}ν_{μ}$$ branching ratio distributions, has allowed us determine |V_ub| = 3.86 (11) × 10^–3 and |V_ub| = 3.58 (9) × 10^–3 from the analyses of the individual decay channels, respectively, and |V_ub| = 3.68 (5) × 10^–3 from a simultaneous analysis of both decays, which is only a 1.4% error and differs by 1.8σ with respect to the value from inclusive determinations |V_ub| = $$4.25(12)^{+15}_{–14}$$(23) × 10^–3. Our results are based on the use of Padé approximants to the participating form factors, highlighting the importance of the decay B_s → Kμν_μ in complementing the traditional B → πℓν_ℓ one in the exclusive determination of |V_ub| and allowing us to obtain, to the best of our knowledge, the first correlated results for the B → π and B_s → K vector and scalar form factors. We hope that our study strengthens the case for precise measurements of the differential B_s → Kℓν_ℓ decay rate with a finer resolution of the q² bins, as it would definitely allow achieving more conclusive results for |V_ub|.

Authors:

; Masjuan, Pere;

Publication Date:: Wed Dec 29 00:00:00 EST 2021

Research Org.:: Indiana Univ., Bloomington, IN (United States)

Sponsoring Org.:: USDOE Office of Science (SC); National Science Foundation (NSF); Spanish Ministry of Science and Innovation (MCIN)

OSTI Identifier:: 1837701

Alternate Identifier(s):: OSTI ID: 1979962

Grant/Contract Number:: FG02-87ER40365; PHY-2013184; PID2020–112965

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 104 Journal Issue: 11; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Astronomy & Astrophysics; Physics; Form factors; Leptonic, semileptonic and radiative decays

Citation Formats


                    Gonzàlez-Solís, Sergi, Masjuan, Pere, and Rojas, Camilo. Padé approximants to B → π ℓ ν ℓ and B s → K ℓ ν ℓ and determination of | V u b |.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevD.104.114041.

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                    Gonzàlez-Solís, Sergi, Masjuan, Pere, & Rojas, Camilo. Padé approximants to B → π ℓ ν ℓ and B s → K ℓ ν ℓ and determination of | V u b |.  United States.  https://doi.org/10.1103/PhysRevD.104.114041

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                    Gonzàlez-Solís, Sergi, Masjuan, Pere, and Rojas, Camilo. Wed .  
"Padé approximants to B → π ℓ ν ℓ and B s → K ℓ ν ℓ and determination of | V u b |".  United States.  https://doi.org/10.1103/PhysRevD.104.114041.

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@article{osti_1837701,

  title        = {Padé approximants to B → π ℓ ν ℓ and B s → K ℓ ν ℓ and determination of | V u b |},

  author       = {Gonzàlez-Solís, Sergi and Masjuan, Pere and Rojas, Camilo},

  abstractNote = {In light of the first observation of the semileptonic decay $B^0_s$ → $K^{–}μ^{+}ν_{μ}$ by the LHCb Collaboration, we revisit the determination of the Cabibbo-Kobayashi-Maskawa parameter |Vub| from exclusive semileptonic B-meson decays. A controlled theoretical input on the Standard Model B → π and Bs → K vector and scalar form factors from Lattice QCD in the large q2 region, in combination with experimental measurements of the differential B → πℓνℓ and $B^0_s$ → $K^{–}μ^{+}ν_{μ}$ branching ratio distributions, has allowed us determine |Vub| = 3.86 (11) × 10–3 and |Vub| = 3.58 (9) × 10–3 from the analyses of the individual decay channels, respectively, and |Vub| = 3.68 (5) × 10–3 from a simultaneous analysis of both decays, which is only a 1.4% error and differs by 1.8σ with respect to the value from inclusive determinations |Vub| = $4.25(12)^{+15}_{–14}$(23) × 10–3. Our results are based on the use of Padé approximants to the participating form factors, highlighting the importance of the decay Bs → Kμνμ in complementing the traditional B → πℓνℓ one in the exclusive determination of |Vub| and allowing us to obtain, to the best of our knowledge, the first correlated results for the B → π and Bs → K vector and scalar form factors. We hope that our study strengthens the case for precise measurements of the differential Bs → Kℓνℓ decay rate with a finer resolution of the q2 bins, as it would definitely allow achieving more conclusive results for |Vub|.},

  doi          = {10.1103/PhysRevD.104.114041},

  journal      = {Physical Review D},

  number       = 11,

  volume       = 104,

  place        = {United States},

  year         = {Wed Dec 29 00:00:00 EST 2021},

  month        = {Wed Dec 29 00:00:00 EST 2021}

}

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Title: Padé approximants to B → π ℓ ν ℓ and B s → K ℓ ν ℓ and determination of | V u b |

Abstract

Citation Formats

Continuum limit of the leading-order HQET form factor in B s → K ℓν decays journal, June 2016

Extrapolation and unitarity bounds for the B → π form factor journal, February 2015

Exclusive semileptonic decays of heavy mesons journal, December 1985

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Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016 journal, December 2017

Title: Padé approximants to $B \to π ℓ ν_{ℓ}$ and $B_{s} \to K ℓ ν_{ℓ}$ and determination of $| V_{u b} |$

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$B \to π ℓ ν$ and $B_{s} \to K ℓ ν$ form factors and $| V_{u b} |$ from $2 + 1$ -flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks
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The Belle II Physics Book
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First Observation of the Decay $B_{s}^{0} \to K^{-} μ^{+} ν_{μ}$ and a Measurement of $| V_{u b} | / | V_{c b} |$
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Two-loop corrections to the B → π form factor from QCD sum rules on the light-cone and |Vub|
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Determination of the quark coupling strength |Vub| using baryonic decays
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Study of $B \to π ℓ ν_{ℓ}$ and $B^{+} \to η^{(')} ℓ^{+} ν_{ℓ}$ decays and determination of $| V_{u b} |$
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The $$ \overline{B} $$ → π form factors from QCD and their impact on |Vub|
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Model-independent description of $B \to π l ν$ decays and a determination of $| V_{u b} |$
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Branching fraction and form-factor shape measurements of exclusive charmless semileptonic $B$ decays, and determination of $| V_{u b} |$
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Measurement of the decay $B^{0} \to π^{-} ℓ^{+} ν$ and determination of $| V_{u b} |$
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Next-to-leading-order corrections to $B \to π$ form factors in $k_{T}$ factorization
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Study of $B \to π l ν$ and $B \to ρ l ν$ decays and determination of $| V_{u b} |$
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Can the Differences in the Determinations of $V_{u b}$ and $V_{c b}$ Be Explained by New Physics?
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QCD corrections to $B \to π$ form factors from light-cone sum rules
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Comparison of exclusive decay rates for b→u and b→c transitions
journal, July 1987

$Λ_{b} \to p ℓ^{-} {\bar{ν}}_{ℓ}$ and $Λ_{b} \to Λ_{c} ℓ^{-} {\bar{ν}}_{ℓ}$ form factors from lattice QCD with relativistic heavy quarks
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Averages of b-hadron, c-hadron, and $$\tau $$ τ -lepton properties as of summer 2016
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