The $B \rightarrow \pi \pi \ell \bar{\nu}$ transition - INSPIRE

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The $B \rightarrow \pi \pi \ell \bar{\nu}$ transition

Luka Leskovec
(
- Ljubljana U. and
- Stefan Inst., Ljubljana
)
,
Stefan Meinel
(
- Arizona U.
)
,
Marcus Petschlies
(
- Bonn U., HISKP
)
,
John Negele
(
- MIT, Cambridge, CTP
)
,
Srijit Paul
(
- Maryland U.
)

Jun 4, 2024

11 pages

Published in:

PoS EuroPLEx2023 (2024) 018

Contribution to:

- EuroPLEx2023
, 018

Published: Jun 4, 2024

DOI:

10.22323/1.451.0018

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Abstract: (SISSA)

V_{ub}

is the smallest and least known of all CKM matrix elements; it is currently determined primarily through the exclusive process

B\to\pi\ell\bar{\nu}

, and additional channels to determine it are welcomed by the community. We will present progress toward a lattice QCD determination of

|V_{ub}|

from the

B\to\pi\pi\ell\bar{\nu}

process, where the

\pi\pi

system is in a

P

-wave and features the

\rho(770)

resonance as an enhancement. After an overview of the theoretical framework, we will discuss some preliminary results.

References(34)

Figures(0)

[1]

Unitary Symmetry and Leptonic Decays

Nicola Cabibbo
(
- CERN
)

- Phys.Rev.Lett. 10 (1963) 531-533,
- Also in *Bologna 1984, Proceedings, Fifty years of weak-interaction physics* 648-649
•
DOI:
- 10.1103/PhysRevLett.10.531

[2]

CP Violation in the Renormalizable Theory of Weak Interaction

Makoto Kobayashi
(
- Kyoto U.
)
,
Toshihide Maskawa
(
- Kyoto U.
)

- Prog.Theor.Phys. 49 (1973) 652-657,
- Also in *Lichtenberg, D. B. (Ed.), Rosen, S. P. (Ed.): Developments In The Quark Theory Of Hadrons, Vol. 1*, 218-223.
•
DOI:
- 10.1143/PTP.49.652

[3]

Review of Particle Physics

M. Tanabashi
(
- Nagoya U. and
- KMI, Nagoya
)
,
K. Hagiwara
(
- KEK, Tsukuba
)
,
K. Hikasa
(
- Tohoku U.
)
,
K. Nakamura
(
- Tokyo U., IPMU and
- KEK, Tsukuba
)
,
Y. Sumino
(
- Tohoku U.
)

et al.

- Phys.Rev.D 98 (2018) 3, 030001
•
DOI:
- 10.1103/PhysRevD.98.030001

[4]

Review of Particle Physics

R.L. Workman
(
- George Washington U.
)
,
V.D. Burkert
(
- Jefferson Lab
)
,
V. Crede
(
- Florida State U.
)
,
E. Klempt
(
- Bonn U., HISKP
)
,
U. Thoma
(
- Bonn U., HISKP
)

et al.

- PTEP 2022 (2022) 083C01
•
DOI:
- 10.1093/ptep/ptac097

[5]

Averages of $b$ -hadron, $c$ -hadron, and $τ$ -lepton properties as of 2021

HFLAV

Collaboration

•

Yasmine Sara Amhis
(
- IJCLab, Orsay
)

et al.

- Phys.Rev.D 107 (2023) 5, 052008
•
e-Print:
- 2206.07501
•
DOI:
- 10.1103/PhysRevD.107.052008

[6]

FLAG Review 2021

Flavour Lattice Averaging Group (FLAG)

Collaboration

•

Y. Aoki
(
- RIKEN AICS, Kobe
)

et al.

- Eur.Phys.J.C 82 (2022) 10, 869
•
e-Print:
- 2111.09849
•
DOI:
- 10.1140/epjc/s10052-022-10536-1

[7]

Approaches to inclusive semileptonic B $_{(s)}$ -meson decays from Lattice QCD

Alessandro Barone
(
- Southampton U. and
- KEK, Tsukuba
)
,
Shoji Hashimoto
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)
,
Andreas Jüttner
(
- Southampton U. and
- CERN
)
,
Takashi Kaneko
(
- KEK, Tsukuba and
- Sokendai, Tsukuba and
- KMI, Nagoya
)
,
Ryan Kellermann
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)

- JHEP 07 (2023) 145
•
e-Print:
- 2305.14092
•
DOI:
- 10.1007/JHEP07(2023)145

[8]

Lattice study of the decay anti-B0 ---> rho+ lepton- anti-lepton-neutrino: Model independent determination of |V(ub)|

UKQCD

Collaboration

•

J.M. Flynn
(
- Southampton U.
)

et al.

- Nucl.Phys.B 461 (1996) 327-349
•
e-Print:
- hep-ph/9506398
•
DOI:
- 10.1016/0550-3213(95)00595-1

[9]

|V(ub)| from Exclusive Semileptonic B ---> rho Decays

- Phys.Lett.B 675 (2009) 326-331
•
e-Print:
- 0812.2795
•
DOI:
- 10.1016/j.physletb.2009.04.037

[10]

B ---> rho l nu form-factors in lattice QCD

UKQCD

Collaboration

•

K.C. Bowler
(
- Edinburgh U.
)

et al.

- JHEP 05 (2004) 035
•
e-Print:
- hep-lat/0402023
•
DOI:
- 10.1088/1126-6708/2004/05/035

[11]

Lattice constrained parametrizations of form-factors for semileptonic and rare radiative B decays

UKQCD

Collaboration

•

Luigi Del Debbio
(
- Marseille, CPT
)

et al.

- Phys.Lett.B 416 (1998) 392-401
•
e-Print:
- hep-lat/9708008
•
DOI:
- 10.1016/S0370-2693(97)01350-6

[12]

Multichannel 0 $\to$ 2 and 1 $\to$ 2 transition amplitudes for arbitrary spin particles in a finite volume

- Phys.Rev.D 92 (2015) 7, 074509
•
e-Print:
- 1502.04314
•
DOI:
- 10.1103/PhysRevD.92.074509

[13]

$P$ -wave $\pi\pi$ scattering and the $\rho$ resonance from lattice QCD

Constantia Alexandrou
(
- Cyprus Inst. and
- Cyprus U.
)
,
Luka Leskovec
(
- Arizona U.
)
,
Stefan Meinel
(
- Arizona U. and
- RIKEN BNL
)
,
John Negele
(
- MIT, LNS
)
,
Srijit Paul
(
- Cyprus Inst.
)

et al.

- Phys.Rev.D 96 (2017) 3, 034525
•
e-Print:
- 1704.05439
•
DOI:
- 10.1103/PhysRevD.96.034525

[14]

A lattice QCD study of the $B\to\pi\pi\ell\bar{\nu}$ transition

Luka Leskovec
(
- Stefan Inst., Ljubljana and
- Ljubljana U.
)
,
Stefan Meinel
(
- Arizona U.
)
,
Marcus Petschlies
(
- Bonn U., ITKP
)
,
John Negele
(
- MIT, Cambridge, CTP
)
,
Srijit Paul
(
- Edinburgh U.
)

et al.

- PoS LATTICE2022 (2023) 416
•
e-Print:
- 2212.08833
•
DOI:
- 10.22323/1.430.0416

[15]

Massive fermions in lattice gauge theory

Aida X. El-Khadra
(
- Illinois U., Urbana
)
,
Andreas S. Kronfeld
(
- Fermilab
)
,
Paul B. Mackenzie
(
- Fermilab
)

- Phys.Rev.D 55 (1997) 3933-3957
•
e-Print:
- hep-lat/9604004
•
DOI:
- 10.1103/PhysRevD.55.3933

[16]

Heavy quarks on anisotropic lattices: The Charmonium spectrum

Ping Chen
(
- Columbia U.
)

- Phys.Rev.D 64 (2001) 034509
•
e-Print:
- hep-lat/0006019
•
DOI:
- 10.1103/PhysRevD.64.034509

[17]

Weak transition matrix elements from finite volume correlation functions

Laurent Lellouch
(
- Annecy, LAPTH
)
,
Martin Luscher
(
- CERN
)

- Commun.Math.Phys. 219 (2001) 31-44
•
e-Print:
- hep-lat/0003023
•
DOI:
- 10.1007/s002200100410

[18]

K --> pi pi decays in a finite volume

C.J.David Lin
(
- Southampton U.
)
,
G. Martinelli
(
- INFM, Rome and
- INFN, Rome
)
,
Christopher T. Sachrajda
(
- Southampton U.
)
,
M. Testa
(
- INFM, Rome and
- INFN, Rome
)

- Nucl.Phys.B 619 (2001) 467-498
•
e-Print:
- hep-lat/0104006
•
DOI:
- 10.1016/S0550-3213(01)00495-3

[19]

K+ ---> pi+ pi0 decays on finite volumes and at next-to-leading order in the chiral expansion

C.J.David Lin
(
- Southampton U.
)
,
G. Martinelli
(
- Rome U. and
- INFN, Rome
)
,
E. Pallante
(
- SISSA, Trieste
)
,
C.T. Sachrajda
(
- Southampton U. and
- CERN
)
,
G. Villadoro
(
- Rome U. and
- INFN, Rome
)

- Nucl.Phys.B 650 (2003) 301-355
•
e-Print:
- hep-lat/0208007
•
DOI:
- 10.1016/S0550-3213(02)01038-6

[20]

Finite volume corrections to the two-particle decay of states with non-zero momentum

Norman H. Christ
(
- Columbia U.
)
,
Changhoan Kim
(
- Columbia U. and
- Southampton U.
)
,
Takeshi Yamazaki
(
- RIKEN BNL
)

- Phys.Rev.D 72 (2005) 114506
•
e-Print:
- hep-lat/0507009
•
DOI:
- 10.1103/PhysRevD.72.114506

[21]

Lattice QCD and the Timelike Pion Form Factor

Harvey B. Meyer
(
- Mainz U., Inst. Kernphys.
)

- Phys.Rev.Lett. 107 (2011) 072002
•
e-Print:
- 1105.1892
•
DOI:
- 10.1103/PhysRevLett.107.072002

[22]

Multichannel 1 $\rightarrow$ 2 transition amplitudes in a finite volume

Raúl A. Briceño
(
- Jefferson Lab
)
,
Maxwell T. Hansen
(
- Washington U., Seattle
)
,
André Walker-Loud
(
- William-Mary Coll. and
- Jefferson Lab
)

- Phys.Rev.D 91 (2015) 3, 034501
•
e-Print:
- 1406.5965
•
DOI:
- 10.1103/PhysRevD.91.034501

[23]

Scattering processes and resonances from lattice QCD

Raul A. Briceno
(
- Jefferson Lab
)
,
Jozef J. Dudek
(
- Old Dominion U. and
- William-Mary Coll.
)
,
Ross D. Young
(
- Adelaide U. and
- Adelaide U., Sch. Chem. Phys.
)

- Rev.Mod.Phys. 90 (2018) 2, 025001
•
e-Print:
- 1706.06223
•
DOI:
- 10.1103/RevModPhys.90.025001

[24]

Constraining $1+\mathcal{J}\to 2$ coupled-channel amplitudes in finite-volume

Raúl A. Briceño
(
- Jefferson Lab and
- Old Dominion U.
)
,
Jozef J. Dudek
(
- Jefferson Lab and
- William-Mary Coll.
)
,
Luka Leskovec
(
- Jefferson Lab and
- Old Dominion U.
)

- Phys.Rev.D 104 (2021) 5, 054509
•
e-Print:
- 2105.02017
•
DOI:
- 10.1103/PhysRevD.104.054509

[25]

Two particle states on a torus and their relation to the scattering matrix

Martin Luscher
(
- DESY
)

- Nucl.Phys.B 354 (1991) 531-578
•
DOI:
- 10.1016/0550-3213(91)90366-6

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