skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: $$B\to Kl^+l^-$$ decay form factors from three-flavor lattice QCD

Journal Article · · Physical Review D
 [1]
  1. Seoul National Univ., Seoul (Korea, Republic of). et al.

We compute the form factors for the B → Kl+l- semileptonic decay process in lattice QCD using gauge-field ensembles with 2+1 flavors of sea quark, generated by the MILC Collaboration. The ensembles span lattice spacings from 0.12 to 0.045 fm and have multiple sea-quark masses to help control the chiral extrapolation. The asqtad improved staggered action is used for the light valence and sea quarks, and the clover action with the Fermilab interpretation is used for the heavy b quark. We present results for the form factors f+(q2), f0(q2), and fT(q2), where q2 is the momentum transfer, together with a comprehensive examination of systematic errors. Lattice QCD determines the form factors for a limited range of q2, and we use the model-independent z expansion to cover the whole kinematically allowed range. We present our final form-factor results as coefficients of the z expansion and the correlations between them, where the errors on the coefficients include statistical and all systematic uncertainties. Lastly, we use this complete description of the form factors to test QCD predictions of the form factors at high and low q2.

Research Organization:
Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), High Energy Physics (HEP)
Contributing Organization:
Fermilab Lattice and MILC Collaborations
Grant/Contract Number:
AC02-07CH11359; FG02-91ER40628; FC02-12ER41879; FG02-91ER40661; SC0010120; FC02-06ER41443; FG02-91ER40677; FG02-13ER42001; FG02-ER41976; SC0010114
OSTI ID:
1247500
Alternate ID(s):
OSTI ID: 1236297
Report Number(s):
FERMILAB-PUB-15-403-T; arXiv:1509.06235; PRVDAQ; 1394175
Journal Information:
Physical Review D, Vol. 93, Issue 2; ISSN 2470-0010
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 86 works
Citation information provided by
Web of Science

References (89)

B π l ν semileptonic form factor from three-flavor lattice QCD: A model-independent determination of | V ub | journal March 2009
| V u b | from B π ν decays and ( 2 + 1 )-flavor lattice QCD journal July 2015
Review of Particle Physics journal August 2014
B s D s / B D semileptonic form-factor ratios and their application to BR ( B s 0 μ + μ ) journal June 2012
Refining New-Physics Searches in B D τ ν with Lattice QCD journal August 2012
Radiative and Electroweak Penguin Decays of B Mesons journal November 2010
Flavor physics in the quark sector journal September 2010
Measurement of the Differential Branching Fraction and Forward-Backward Asymmetry for B K ( * ) l + l journal October 2009
Measurement of the Forward-Backward Asymmetry in the B K ( * ) μ + μ Decay and First Observation of the B s 0 ϕ μ + μ Decay journal April 2011
Measurement of branching fractions and rate asymmetries in the rare decays B K ( * ) + journal August 2012
Measurement of the isospin asymmetry in B → K(*)μ+μ− decays journal July 2012
Differential branching fraction and angular analysis of the B + → K + μ + μ − decay journal February 2013
Differential branching fractions and isospin asymmetries of B → K (*) μ + μ − decays journal June 2014
Standard Model Predictions for B K + with Form Factors from Lattice QCD journal October 2013
Lattice QCD calculation of form factors describing the rare decays B K * + and B s ϕ + journal May 2014
B→Xse+e− in the six-quark model journal June 1989
Theoretical uncertainties and phenomenological aspects of B → XSγ decay journal August 1994
Symmetries and asymmetries of BK+ μ decays in the Standard Model and beyond journal January 2009
Improved continuum limit lattice action for QCD with wilson fermions journal September 1985
Massive fermions in lattice gauge theory journal April 1997
Improved nonrelativistic QCD for heavy-quark physics journal November 1992
Constraints on Form Factors for Exclusive Semileptonic Heavy to Light Meson Decays journal June 1995
Model-independent description of B π l ν decays and a determination of | V u b | journal January 2009
Theoretical and phenomenological constraints on form factors for radiative and semi-leptonic B-meson decays journal September 2010
Precise calculation of the dilepton invariant-mass spectrum and the decay rate in B ± π ± μ + μ in the SM journal May 2014
QCD spectrum with three quark flavors journal August 2001
Light hadrons with improved staggered quarks: Approaching the continuum limit journal November 2004
On-shell improved lattice gauge theories journal March 1985
Computation of the action for on-shell improved lattice gauge theories at weak coupling journal August 1985
Unquenching effects on the coefficients of the Lüscher-Weisz action journal August 2007
Improving flavor symmetry in the Kogut-Susskind hadron spectrum journal February 1997
Perturbative improvement for lattice QCD: An update journal January 1998
Improved staggered quark actions with reduced flavor symmetry violations for lattice QCD journal December 1998
Testing improved actions for dynamical Kogut-Susskind quarks journal November 1998
Scaling tests of the improved Kogut-Susskind quark action journal April 2000
Nonperturbative QCD simulations with 2 + 1 flavors of improved staggered quarks journal May 2010
Staggered chiral perturbation theory at next-to-leading order journal June 2005
New lattice action for heavy quarks journal July 2008
A new way to set the energy scale in lattice gauge theories and its application to the static force and σs in SU (2) Yang-Mills theory journal January 1994
B - and D -meson decay constants from three-flavor lattice QCD journal June 2012
Domain wall QCD with near-physical pions journal May 2013
Heavy-light mesons with staggered light quarks journal March 2003
Viability of lattice perturbation theory journal September 1993
Accurate Determinations of α s from Realistic Lattice QCD journal July 2005
On the elimination of scale ambiguities in perturbative quantum chromodynamics journal July 1983
The heavy quark potential and the ϒ, J/ψ systems journal March 1979
Constrained curve fitting journal March 2002
Bayesian curve fitting for lattice gauge theorists journal May 2002
Heavy-light semileptonic decays in staggered chiral perturbation theory journal July 2007
Hard pion chiral perturbation theory for and formfactors journal November 2010
Vector formfactors in hard pion Chiral Perturbation Theory journal May 2011
Chiral multiplets of heavy-light mesons journal September 2003
Excited B mesons from the lattice journal May 2004
Predicting positive parity B s mesons from lattice QCD journal November 2015
Axial Couplings and Strong Decay Widths of Heavy Hadrons journal April 2012
Calculation of the heavy-hadron axial couplings g 1 , g 2 , and g 3 using lattice QCD journal June 2012
Precision lattice QCD computation of the B B π coupling journal January 2015
Heavy meson chiral perturbation theory in finite volume journal July 2004
Review of lattice results concerning low-energy particle physics journal September 2014
Comment on form-factor shape and extraction of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mo stretchy="false">|</mml:mo><mml:msub><mml:mi>V</mml:mi><mml:mrow><mml:mi>u</mml:mi><mml:mi>b</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">|</mml:mo></mml:math> from <mml:math altimg="si2.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:mi>l</mml:mi><mml:mi>ν</mml:mi></mml:math> journal February 2006
The decay $ \overline B \to \overline K {\ell^{ + }}{\ell^{ - }} $ at low hadronic recoil and model-independent ∆B = 1 constraints journal January 2012
Exclusive rare B K * + decays at low recoil: Controlling the long-distance effects journal December 2004
Factorization in B V γ decays journal November 2005
Towards B→Vγ decays at NNLO in SCET journal May 2008
The benefits of $ \bar{B} \to {\bar{K}^*}{l^{+} }{l^{-} } $ decays at low recoil journal July 2010
Theory of B→K (∗) l + l − decays at high q 2: OPE and quark–hadron duality journal May 2011
Rates and asymmetries of B π + decays journal July 2014
Decay B π ν in heavy quark effective theory journal March 1994
Chiral perturbation theory for hadrons containing a heavy quark journal April 1992
Relationship between form factors in Semileptonic B ¯ and D decays and exclusive rare B ¯ -meson decays journal October 1990
B -meson decay constants: A more complete picture from full lattice QCD journal June 2015
Symmetry-breaking corrections to heavy-to-light B meson form factors at large recoil journal January 2001
| V td / V ts | from BV γ journal April 2006
B -meson distribution amplitude in QCD journal February 2004
B-meson distribution amplitude from the <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>B</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi></mml:math> form factor journal July 2005
Model-independent properties of the B -meson distribution amplitude journal November 2005
Lattice results for low moments of light meson distribution amplitudes journal April 2011
RunDec: a Mathematica package for running and decoupling of the strong coupling and quark masses journal December 2000
Heavy-to-light currents at NNLO in SCET and semi-inclusive decay journal February 2011
Charm-loop effect in B → K (*) ℓ + ℓ − and B → K * γ journal September 2010
Lepton Flavor Violation in B Decays? journal March 2015
Scaling studies of QCD with the dynamical highly improved staggered quark action journal October 2010
Lattice QCD ensembles with four flavors of highly improved staggered quarks journal March 2013
Highly improved staggered quarks on the lattice with applications to charm physics journal March 2007
Determination of | V u s | from a Lattice QCD Calculation of the K π ν Semileptonic Form Factor with Physical Quark Masses journal March 2014
Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks journal October 2014
B π and B K transitions in standard and quenched chiral perturbation theory journal March 2003
B π and B K transitions in partially quenched chiral perturbation theory journal October 2003
Chiral behavior of the B 0 d , s −bar B 0 d , s mixing amplitude in the Standard Model and beyond journal June 2007

Cited By (15)

B ( s ) 0 -mixing matrix elements from lattice QCD for the Standard Model and beyond journal June 2016
New physics in b s μ + μ : Distinguishing models through C P -violating effects journal July 2017
New light mediators for the R K and R K * puzzles journal June 2018
Angular analysis of the decay B + K + μ + μ in proton-proton collisions at s = 8 TeV journal December 2018
On flavourful Easter eggs for New Physics hunger and lepton flavour universality violation journal October 2017
Lepton polarization asymmetries in rare semi-tauonic $$ b \rightarrow s $$ b → s exclusive decays at FCC-ee journal October 2017
New Physics in $${\varvec{b \rightarrow s \ell ^+ \ell ^-}}$$ b → s ℓ + ℓ - confronts new data on lepton universality journal August 2019
Implications for new physics in $$b\rightarrow s \mu \mu $$b→sμμ transitions after recent measurements by Belle and LHCb journal October 2019
FLAG Review 2019 text January 2019
FLAG Review 2019: Flavour Lattice Averaging Group (FLAG) journal February 2020
Angular analysis of the decay B+→K+μ+μ− in proton-proton collisions at √s=8  TeV text January 2018
Angular analysis of the decay B+→K+μ+μ− in proton-proton collisions at √s=8  TeV text January 2018
FLAG Review 2019 text January 2020
FLAG Review 2019 text January 2020
Deuterium target data for precision neutrino-nucleus cross sections text January 2016

Similar Records

B s K ν decay from lattice QCD
Journal Article · Thu Aug 01 00:00:00 EDT 2019 · Physical Review. D. · OSTI ID:1247500

$|V_{ub}|$ from $B\to\pi\ell\nu$ decays and (2+1)-flavor lattice QCD
Journal Article · Thu Jul 23 00:00:00 EDT 2015 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1247500

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
Journal Article · Thu Oct 30 00:00:00 EDT 2014 · Physical Review. D, Particles, Fields, Gravitation and Cosmology · OSTI ID:1247500