Padé approximants to $B\to\pi\ell\nu_{\ell}$ and $B_{s}\to K\ell\nu_{\ell}$ and determination of $|V_{ub}|$

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

doi:10.1103/PhysRevD.104.114041

Padé approximants to $B\to\pi\ell\nu_{\ell}$ and $B_{s}\to K\ell\nu_{\ell}$ and determination of $|V_{ub}|$

Sergi Gonzàlez-Solís
(
- Indiana U. and
- Indiana U., CEEM
)
,
Pere Masjuan
(
- Barcelona, Autonoma U. and
- Barcelona, IFAE and
- BIST, Barcelona
)
,
Camilo Rojas
(
- Barcelona, Autonoma U. and
- Barcelona, IFAE and
- BIST, Barcelona
)

Oct 12, 2021

16 pages

Published in:

Phys.Rev.D 104 (2021) 11, 114041

Published: Dec 1, 2021

e-Print:

2110.06153 [hep-ph]

DOI:

10.1103/PhysRevD.104.114041 (publication)

View in:

ADS Abstract Service

pdf

reference search17 citations

Citations per year

Abstract: (APS)

In light of the first observation of the semileptonic decay

B_{s}^{0} \to K^{-} μ^{+} ν_{μ}

by the LHCb Collaboration, we revisit the determination of the Cabibbo-Kobayashi-Maskawa parameter

| V_{u b} |

from exclusive semileptonic

B

-meson decays. A controlled theoretical input on the Standard Model

B \to π

and

B_{s} \to K

vector and scalar form factors from Lattice QCD in the large

q^{2}

region, in combination with experimental measurements of the differential

B \to π ℓ ν_{ℓ}

and

B_{s}^{0} \to K^{-} μ^{+} ν_{μ}

branching ratio distributions, has allowed us determine

| V_{u b} | = 3.86 (11) \times 10^{- 3}

and

| V_{u b} | = 3.58 (9) \times 10^{- 3}

from the analyses of the individual decay channels, respectively, and

| V_{u b} | = 3.68 (5) \times 10^{- 3}

from a simultaneous analysis of both decays, which is only a 1.4% error and differs by

1.8 σ

with respect to the value from inclusive determinations

| V_{u b} | = 4.25 (12)_{- 14}^{+ 15} (23) \times 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} \to K μ ν_{μ}

in complementing the traditional

B \to π ℓ ν_{ℓ}

one in the exclusive determination of

| V_{u b} |

and allowing us to obtain, to the best of our knowledge, the first correlated results for the

B \to π

and

B_{s} \to K

vector and scalar form factors. We hope that our study strengthens the case for precise measurements of the differential

B_{s} \to K ℓ ν_{ℓ}

decay rate with a finer resolution of the

q^{2}

bins, as it would definitely allow achieving more conclusive results for

| V_{u b} |

.

Note:

16 pages, 10 figures

|Vub| determination
Semileptonic B decays
Lattice QCD
form factor: scalar

References(60)

Figures(10)

[1]

FLAG Review 2019: Flavour Lattice Averaging Group (FLAG)

S. Aoki
(
- Kyoto U., Yukawa Inst., Kyoto
)
,
Y. Aoki
(
- KEK, Tsukuba and
- RIKEN BNL
)
,
D. Bečirević
(
- Orsay, LPT
)
,
T. Blum
(
- Connecticut U. and
- RIKEN BNL
)
,
G. Colangelo
(
- U. Bern, AEC
)

et al.

- Eur.Phys.J.C 80 (2020) 2, 113
•
e-Print:
- 1902.08191
•
DOI:
- 10.1140/epjc/s10052-019-7354-7

[2]

Review of Particle Physics

et al.

- PTEP 2020 (2020) 8, 083C01
•
DOI:
- 10.1093/ptep/ptaa104

[3]

Lattice QCD Impact on Determination of CKM Matrix: Status and Prospects

Steven Gottlieb
(
- Indiana U.
)

- PoS LATTICE2019 (2020) 275
•
e-Print:
- 2002.09013
•
DOI:
- 10.22323/1.363.0275

[4]

The Belle II Physics Book

Belle-II

Collaboration

•

E. Kou
(
- Orsay, LAL
)
(ed.)

et al.

- PTEP 2019 (2019) 12, 123C01,
- PTEP 2020 (2020) 2, 029201 (erratum)
•
e-Print:
- 1808.10567
•
DOI:
- 10.1093/ptep/ptz106

[4]

The Belle II Physics Book

Belle-II

Collaboration

•

E. Kou
(
- Orsay, LAL
)
(ed.)

et al.

- PTEP 2019 (2019) 12, 123C01,
- PTEP 2020 (2020) 2, 029201 (erratum)
•
e-Print:
- 1808.10567
•
DOI:
- 10.1093/ptep/ptz106

[5]

Two-loop Corrections to the $B to \pi$ Form Factor from QCD Sum Rules on the Light-Cone and $|V_{ub}|$

Aoife Bharucha
(
- Hamburg U., Inst. Theor. Phys. II
)

- JHEP 05 (2012) 092
•
e-Print:
- 1203.1359
•
DOI:
- 10.1007/JHEP05(2012)092

[6]

B meson semileptonic form-factors from unquenched lattice QCD

Emel Dalgic
(
- Ohio State U.
)
,
Alan Gray
(
- Ohio State U.
)
,
Matthew Wingate
(
- Washington U., Seattle
)
,
Christine T.H. Davies
(
- Glasgow U.
)
,
G.Peter Lepage
(
- Cornell U., LEPP
)

et al.

- Phys.Rev.D 73 (2006) 074502,
- Phys.Rev.D 75 (2007) 119906 (erratum)
•
e-Print:
- hep-lat/0601021
•
DOI:
- 10.1103/PhysRevD.75.119906

[6]

B meson semileptonic form-factors from unquenched lattice QCD

Emel Dalgic
(
- Ohio State U.
)
,
Alan Gray
(
- Ohio State U.
)
,
Matthew Wingate
(
- Washington U., Seattle
)
,
Christine T.H. Davies
(
- Glasgow U.
)
,
G.Peter Lepage
(
- Cornell U., LEPP
)

et al.

- Phys.Rev.D 73 (2006) 074502,
- Phys.Rev.D 75 (2007) 119906 (erratum)
•
e-Print:
- hep-lat/0601021
•
DOI:
- 10.1103/PhysRevD.75.119906

[7]

$B \to \pi \ell \nu$ and $B_s \to K \ell \nu$ form factors and $|V_{ub}|$ from 2+1-flavor lattice QCD with domain-wall light quarks and relativistic heavy quarks

J.M. Flynn
(
- Southampton U.
)
,
T. Izubuchi
(
- Brookhaven and
- RIKEN BNL
)
,
T. Kawanai
(
- Brookhaven and
- Nishina Ctr., RIKEN
)
,
C. Lehner
(
- Brookhaven
)
,
A. Soni
(
- Brookhaven
)

et al.

- Phys.Rev.D 91 (2015) 7, 074510
•
e-Print:
- 1501.05373
•
DOI:
- 10.1103/PhysRevD.91.074510

[8]

$|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD

Fermilab Lattice and
MILC

Collaborations

•

Jon A. Bailey
(
- Seoul Natl. U.
)

et al.

- Phys.Rev.D 92 (2015) 1, 014024
•
e-Print:
- 1503.07839
•
DOI:
- 10.1103/PhysRevD.92.014024

[9]

Comment on the heavy ---> light form-factors

Damir Becirevic
(
- Rome U. and
- INFN, Rome
)
,
Alexei B. Kaidalov
(
- Moscow, ITEP and
- Orsay, LPT
)

- Phys.Lett.B 478 (2000) 417-423
•
e-Print:
- hep-ph/9904490
•
DOI:
- 10.1016/S0370-2693(00)00290-2

[10]

New results on $B \to \pi, K, \eta$ decay formfactors from light-cone sum rules

Patricia Ball
(
- Durham U., IPPP and
- Durham U.
)
,
Roman Zwicky
(
- Minnesota U., Theor. Phys. Inst.
)

- Phys.Rev.D 71 (2005) 014015
•
e-Print:
- hep-ph/0406232
•
DOI:
- 10.1103/PhysRevD.71.014015

[11]

Constraints on form-factors for exclusive semileptonic heavy to light meson decays

C.Glenn Boyd
(
- UC, San Diego
)
,
Benjamin Grinstein
(
- UC, San Diego
)
,
Richard F. Lebed
(
- UC, San Diego
)

- Phys.Rev.Lett. 74 (1995) 4603-4606
•
e-Print:
- hep-ph/9412324
•
DOI:
- 10.1103/PhysRevLett.74.4603

[12]

Model-independent description of B ---> pi l nu decays and a determination of |V(ub)|

Claude Bourrely
(
- Marseille, CPT
)
,
Irinel Caprini
(
- Bucharest, IFIN-HH
)
,
Laurent Lellouch
(
- Marseille, CPT
)

- Phys.Rev.D 79 (2009) 013008,
- Phys.Rev.D 82 (2010) 099902 (erratum)
•
e-Print:
- 0807.2722
•
DOI:
- 10.1103/PhysRevD.82.099902

[12]

Model-independent description of B ---> pi l nu decays and a determination of |V(ub)|

Claude Bourrely
(
- Marseille, CPT
)
,
Irinel Caprini
(
- Bucharest, IFIN-HH
)
,
Laurent Lellouch
(
- Marseille, CPT
)

- Phys.Rev.D 79 (2009) 013008,
- Phys.Rev.D 82 (2010) 099902 (erratum)
•
e-Print:
- 0807.2722
•
DOI:
- 10.1103/PhysRevD.82.099902

[13]

Study of $B\to\pi\ell\nu_{\ell}$ and $B^{+}\to\eta^{(\prime)}\ell^{+}\nu_{\ell}$ decays and determination of $|V_{ub}|$

- Phys.Rev.D 98 (2018) 3, 034027
•
e-Print:
- 1805.11262
•
DOI:
- 10.1103/PhysRevD.98.034027

[14]

A Study of Exclusive Charmless Semileptonic B Decay and |V(ub)|

CLEO

Collaboration

•

N.E. Adam
(
- Cornell U., Phys. Dept.
)

et al.

- Phys.Rev.Lett. 99 (2007) 041802
•
e-Print:
- hep-ex/0703041
•
DOI:
- 10.1103/PhysRevLett.99.041802

[15]

Study of $B \to \pi \ell \nu$ and $B \to \rho \ell \nu$ Decays and Determination of $|V_{ub}|$

BaBar

Collaboration

•

P. del Amo Sanchez
(
- Annecy, LAPP
)

et al.

- Phys.Rev.D 83 (2011) 032007
•
e-Print:
- 1005.3288
•
DOI:
- 10.1103/PhysRevD.83.032007

[16]

Branching fraction and form-factor shape measurements of exclusive charmless semileptonic B decays, and determination of $|V_{ub}|$

BaBar

Collaboration

•

J.P. Lees
(
- Annecy, LAPP
)

et al.

- Phys.Rev.D 86 (2012) 092004
•
e-Print:
- 1208.1253
•
DOI:
- 10.1103/PhysRevD.86.092004

[17]

Measurement of the decay $B^0\to\pi^-\ell^+\nu$ and determination of $|V_{ub}|$

Belle

Collaboration

•

H. Ha
(
- Korea U.
)

et al.

- Phys.Rev.D 83 (2011) 071101
•
e-Print:
- 1012.0090
•
DOI:
- 10.1103/PhysRevD.83.071101

[18]

Study of Exclusive $B \to X_u \ell \nu$ Decays and Extraction of $\|V_{ub}\|$ using Full Reconstruction Tagging at the Belle Experiment

Belle

Collaboration

•

A. Sibidanov
(
- Sydney U.
)

et al.

- Phys.Rev.D 88 (2013) 3, 032005
•
e-Print:
- 1306.2781
•
DOI:
- 10.1103/PhysRevD.88.032005

[19]

$B_s \to K \ell \nu$ form factors from lattice QCD

C.M. Bouchard
(
- Ohio State U.
)
,
G. Peter Lepage
(
- Cornell U., LEPP
)
,
Christopher Monahan
(
- William-Mary Coll.
)
,
Heechang Na
(
- Utah U.
)
,
Junko Shigemitsu
(
- Ohio State U.
)

- Phys.Rev.D 90 (2014) 054506
•
e-Print:
- 1406.2279
•
DOI:
- 10.1103/PhysRevD.90.054506

[20]

Continuum limit of the leading-order HQET form factor in $B_s \to K\ell\nu$ decays

ALPHA

Collaboration

•

Felix Bahr
(
- DESY, Zeuthen and
- NIC, Zeuthen
)

et al.

- Phys.Lett.B 757 (2016) 473-479
•
e-Print:
- 1601.04277
•
DOI:
- 10.1016/j.physletb.2016.03.088

[21]

$B_s\to K\ell\nu$ decay from lattice QCD

Fermilab Lattice and
MILC

Collaborations

•

Alexei Bazavov
(
- Michigan State U.
)

et al.

- Phys.Rev.D 100 (2019) 3, 034501
•
e-Print:
- 1901.02561
•
DOI:
- 10.1103/PhysRevD.100.034501

[22]

Can the differences in the determinations of $V_{ub}$ and $V_{cb}$ be explained by New Physics?

Andreas Crivellin
(
- CERN
)
,
Stefan Pokorski
(
- Warsaw U.
)

- Phys.Rev.Lett. 114 (2015) 1, 011802
•
e-Print:
- 1407.1320
•
DOI:
- 10.1103/PhysRevLett.114.011802

1-25 of 60
1
2
3
25 / page

Padé approximants to B→πℓνℓB\to\pi\ell\nu_{\ell}B→πℓνℓ​ and Bs→KℓνℓB_{s}\to K\ell\nu_{\ell}Bs​→Kℓνℓ​ and determination of ∣Vub∣|V_{ub}|∣Vub​∣

Citations per year

Padé approximants to $B\to\pi\ell\nu_{\ell}$ and $B_{s}\to K\ell\nu_{\ell}$ and determination of $|V_{ub}|$