Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to B -meson decays

Chang, Qin; Brodsky, Stanley J.; Li, Xin-Qiang

doi:10.1103/PhysRevD.95.094025

Title: Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$ -meson decays

Abstract

In this article the dynamical spin effects of the light-front holographic wave functions for light pseudoscalar mesons are studied. These improved wave functions are then confronted with a number of hadronic observables: the decay constants of π and K mesons, their ξ -moments, the pion-to-photon transition form factor, and the pure annihilation $$\bar{B}_s$$ → π⁺ π^- and $$\bar{B}_d$$ → K⁺ K^- decays. Taking f_π , fK , and their ratio fK / f_π as constraints, we perform a χ² analysis for the holographic parameters, including the mass scale parameter $$\sqrtλ$$ and the effective quark masses, and find that the fitted results are quite consistent with the ones obtained from the light-quark hadronic Regge trajectories. In addition, we also show that the end point divergence appearing in the pure annihilation $$\bar{B}_s$$ → π⁺ π^- and $$\bar{B}_d$$ → K⁺ K^- decays can be controlled well by using these improved light-front holographic distribution amplitudes.

Authors:

Chang, Qin ^[1]; Brodsky, Stanley J. ^[2]; Li, Xin-Qiang ^[3]

Henan Normal Univ. (China). Inst. of Particle and Nuclear Physics; SLAC National Accelerator Lab., Menlo Park, CA (United States)
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Central China Normal University, Wuhan (China). Inst. of Particle Physics and Key Laboratory of Quark and Lepton Physics (MOE)

Publication Date:: Tue May 30 00:00:00 EDT 2017

Research Org.:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Org.:: USDOE; National Natural Science Foundation of China (NSFC)

OSTI Identifier:: 1369422

Alternate Identifier(s):: OSTI ID: 1360879

Report Number(s):: SLAC-PUB-16849
Journal ID: ISSN 2470-0010; PRVDAQ

Grant/Contract Number:: AC02-76SF00515; 11475055; 11675061; 11435003; 201317; 14HASTIT036; 201508410213

Resource Type:: Accepted Manuscript

Journal Name:: Physical Review D

Additional Journal Information:: Journal Volume: 95; Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society (APS)

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats


                    Chang, Qin, Brodsky, Stanley J., and Li, Xin-Qiang. Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to B -meson decays.  United States: N. p., 2017. 
Web.  doi:10.1103/PhysRevD.95.094025.

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                    Chang, Qin, Brodsky, Stanley J., & Li, Xin-Qiang. Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to B -meson decays.  United States.  https://doi.org/10.1103/PhysRevD.95.094025

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                    Chang, Qin, Brodsky, Stanley J., and Li, Xin-Qiang. Tue .  
"Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to B -meson decays".  United States.  https://doi.org/10.1103/PhysRevD.95.094025.  https://www.osti.gov/servlets/purl/1369422.

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@article{osti_1369422,

  title        = {Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to B -meson decays},

  author       = {Chang, Qin and Brodsky, Stanley J. and Li, Xin-Qiang},

  abstractNote = {In this article the dynamical spin effects of the light-front holographic wave functions for light pseudoscalar mesons are studied. These improved wave functions are then confronted with a number of hadronic observables: the decay constants of π and K mesons, their ξ -moments, the pion-to-photon transition form factor, and the pure annihilation $\bar{B}_s$ → π+ π- and $\bar{B}_d$ → K+ K- decays. Taking fπ , fK , and their ratio fK / fπ as constraints, we perform a χ2 analysis for the holographic parameters, including the mass scale parameter $\sqrtλ$ and the effective quark masses, and find that the fitted results are quite consistent with the ones obtained from the light-quark hadronic Regge trajectories. In addition, we also show that the end point divergence appearing in the pure annihilation $\bar{B}_s$ → π+ π- and $\bar{B}_d$ → K+ K- decays can be controlled well by using these improved light-front holographic distribution amplitudes.},

  doi          = {10.1103/PhysRevD.95.094025},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 95,

  place        = {United States},

  year         = {Tue May 30 00:00:00 EDT 2017},

  month        = {Tue May 30 00:00:00 EDT 2017}

}

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Measurements of the meson-photon transition form factors of light pseudoscalar mesons at large momentum transfer
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Gronberg, J.; Hill, T. S.; Kutschke, R.
Physical Review D, Vol. 57, Issue 1
DOI: 10.1103/PhysRevD.57.33

Measurement of $γ γ^{*} \to π^{0}$ transition form factor at Belle
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Uehara, S.; Watanabe, Y.; Nakazawa, H.
Physical Review D, Vol. 86, Issue 9
DOI: 10.1103/PhysRevD.86.092007

Meson wave function from holographic models
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Vega, Alfredo; Schmidt, Ivan; Branz, Tanja
Physical Review D, Vol. 80, Issue 5
DOI: 10.1103/PhysRevD.80.055014

Isospin asymmetry in $B \to K^{*} μ^{+} μ^{-}$ using AdS/QCD
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Ahmady, M.; Lord, S.; Sandapen, R.
Physical Review D, Vol. 90, Issue 7
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Factorization and asymptotic behaviour of pion form factor in QCD
journal, July 1980

Efremov, A. V.; Radyushkin, A. V.
Physics Letters B, Vol. 94, Issue 2
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QCD factorization in B→πK, ππ decays and extraction of Wolfenstein parameters
journal, July 2001

Beneke, M.; Buchalla, G.; Neubert, M.
Nuclear Physics B, Vol. 606, Issue 1-2
DOI: 10.1016/S0550-3213(01)00251-6

Revisiting the pure annihilation decays $B_{s} \to π^{+} π^{-}$ and $B^{0} \to K^{+} K^{-}$ : The data and the perturbative QCD predictions
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Xiao, Zhen-Jun; Wang, Wen-Fei; Fan, Ying-Ying
Physical Review D, Vol. 85, Issue 9
DOI: 10.1103/PhysRevD.85.094003

Charmless nonleptonic $B_{s}$ decays to $P P$ , $P V$ , and $V V$ final states in the perturbative QCD approach
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Ali, Ahmed; Kramer, Gustav; Li, Ying
Physical Review D, Vol. 76, Issue 7
DOI: 10.1103/PhysRevD.76.074018

Spectator scattering and annihilation contributions as a solution to the $π K$ and $π π$ puzzles within QCD factorization approach
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Chang, Qin; Sun, Junfeng; Yang, Yueling
Physical Review D, Vol. 90, Issue 5
DOI: 10.1103/PhysRevD.90.054019

Phenomenological analysis of charmless decays $B_{s} \to P P, P V$ with QCD factorization
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Sun, Junfeng; Zhu, Guohuai; Du, Dongsheng
Physical Review D, Vol. 68, Issue 5
DOI: 10.1103/PhysRevD.68.054003

Impact of the higher twist effects on the $γ γ^{*} \to π^{0}$ transition form factor
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Agaev, S. S.
Physical Review D, Vol. 72, Issue 11
DOI: 10.1103/PhysRevD.72.114010

Soft-collinear factorization in effective field theory
journal, February 2002

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DOI: 10.1103/PhysRevD.65.054022

QCD factorization for B→PP and B→PV decays
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Beneke, Martin; Neubert, Matthias
Nuclear Physics B, Vol. 675, Issue 1-2
DOI: 10.1016/j.nuclphysb.2003.09.026

Works referencing / citing this record:

Revisiting the form factors of $$P\rightarrow V$$ P → V transition within the light-front quark models
journal, May 2019

Chang, Qin; Li, Xiao-Nan; Wang, Li-Ting
The European Physical Journal C, Vol. 79, Issue 5
DOI: 10.1140/epjc/s10052-019-6949-3

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Title: Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to B -meson decays

Abstract

Citation Formats

CP violation and the CKM matrix: assessing the impact of the asymmetric B factories journal, May 2005

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks journal, October 2014

Confinement contains condensates journal, June 2012

Evidence for the Charmless Annihilation Decay Mode B s 0 → π + π − journal, May 2012

Some heavy vector and tensor meson decay constants in light-front quark model journal, June 2016

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Review of Particle Physics journal, October 2016

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Observation of the Annihilation Decay Mode B 0 → K + K − journal, February 2017

Light-front dynamics and AdS/QCD correspondence: The pion form factor in the space- and time-like regions journal, March 2008

Distribution amplitudes and decay constants for ( π , K , ρ , K * ) mesons in the light-front quark model journal, February 2007

Branching ratio and CP asymmetry of B s → π + π − decays in the perturbative QCD approach journal, August 2004

Conformal invariance in quantum mechanics journal, August 1976

Asymptotic behavior of the pion form factor in quantum chromodynamics journal, February 1980

QCD factorization for charmless hadronic B s decays revisited journal, December 2009

Hadronic Spectra and Light-Front Wave Functions in Holographic QCD journal, May 2006

Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry journal, February 2003

An effective field theory for collinear and soft gluons: Heavy to light decays journal, May 2001

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A measurement of the ?0, ? and ?? electromagnetic form factors journal, September 1991

Hadronic Spectrum of a Holographic Dual of QCD journal, May 2005

Semileptonic decays of B and D mesons in the light-front formalism journal, June 1990

Leptonic decay constants f K , f D , and f D s with N f = 2 + 1 + 1 twisted-mass lattice QCD journal, March 2015

Revisiting the annihilation decay $\bar{B}_{s}\to\pi^{ + }\pi^{-}$ journal, October 2005

Predicting the B → K * form factors in light-cone QCD journal, April 2014

Revisiting B → π K ,π K * and ρ K decays: CP violations and implication for new physics journal, September 2008

On the interface between perturbative and nonperturbative QCD journal, June 2016

C P -Violation in the Renormalizable Theory of Weak Interaction journal, February 1973

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QCD Factorization for B → π π Decays: Strong Phases and CP Violation in the Heavy Quark Limit journal, September 1999

Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front journal, March 2013

Light-front holographic QCD and emerging confinement journal, July 2015

Erratum to: “Three-parton contributions to B → M 1 M 2 annihilation at leading order” [Phys. Lett. B 647 (2007) 405] journal, September 2007

Leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum journal, July 2006

Measurement of the γ γ * → π 0 transition form factor journal, September 2009

Revisiting the annihilation corrections in nonleptonic B ¯ s 0 decays within QCD factorization journal, September 2012

Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons journal, November 1979

Meson structure in light-front holographic QCD journal, October 2015

Flavor dependence of annihilation parameters in QCD factorization journal, July 2013

Predicting the isospin asymmetry in B → K * γ using holographic AdS/QCD distribution amplitudes for the K * journal, July 2013

Spin effects in the pion holographic light-front wavefunction journal, April 2017

Penguin enhancement and B → K π decays in perturbative QCD journal, February 2001

Universal effective hadron dynamics from superconformal algebra journal, August 2016

Superconformal baryon-meson symmetry and light-front holographic QCD journal, April 2015

Application of AdS/QCD to B physics journal, January 2016

Measurements of branching fractions and direct C P asymmetries for B → K π , B → π π and B → K K decays journal, February 2013

Asymptotic behaviour of exclusive processes in QCD journal, October 1984

Gauge∕Gravity Duality and Hadron Physics at the Light-Front conference, January 2010

AdS/QCD Holographic Wave Function for the ρ Meson and Diffractive ρ Meson Electroproduction journal, August 2012

Exclusive processes in perturbative quantum chromodynamics journal, November 1980

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Conformal invariance and pion wave functions of nonleading twist journal, June 1990

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Quantum chromodynamics and other field theories on the light cone journal, August 1998

Meson distribution amplitudes in holographic models journal, July 2012

Measurement of b-hadron branching fractions for two-body decays into charmless charged hadrons journal, October 2012

Evolved QCD predictions for the meson-photon transition form factors journal, August 2011

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A combined fit on the annihilation corrections in B u , d , s → PP decays within QCDF journal, January 2015

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Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography journal, July 2016

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Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG) journal, February 2017

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V u s from π and K decay constants in full lattice QCD with physical u , d , s , and c quarks journal, October 2013

Measurements of the meson-photon transition form factors of light pseudoscalar mesons at large momentum transfer journal, January 1998

Title: Light-front holographic distribution amplitudes of pseudoscalar mesons and their application to $B$ -meson decays

CP violation and the CKM matrix: assessing the impact of the asymmetric B factories
journal, May 2005

Charmed and light pseudoscalar meson decay constants from four-flavor lattice QCD with physical light quarks
journal, October 2014

Confinement contains condensates
journal, June 2012

Evidence for the Charmless Annihilation Decay Mode $B_{s}^{0} \to π^{+} π^{-}$
journal, May 2012

Some heavy vector and tensor meson decay constants in light-front quark model
journal, June 2016

Supersymmetry across the light and heavy-light hadronic spectrum. II.
journal, February 2017

Branching ratio and $CP$ violation of $\vec{B} π π$ decays in the perturbative QCD approach
journal, March 2001

Review of Particle Physics
journal, October 2016

Unitary Symmetry and Leptonic Decays
journal, June 1963

Observation of the Annihilation Decay Mode $B^{0} \to K^{+} K^{-}$
journal, February 2017

Light-front dynamics and AdS/QCD correspondence: The pion form factor in the space- and time-like regions
journal, March 2008

Distribution amplitudes and decay constants for $(π, K, ρ, K^{*})$ mesons in the light-front quark model
journal, February 2007

Branching ratio and CP asymmetry of $B_{s} \to π^{+} π^{-}$ decays in the perturbative QCD approach
journal, August 2004

Conformal invariance in quantum mechanics
journal, August 1976

Asymptotic behavior of the pion form factor in quantum chromodynamics
journal, February 1980

QCD factorization for charmless hadronic $B_{s}$ decays revisited
journal, December 2009

Hadronic Spectra and Light-Front Wave Functions in Holographic QCD
journal, May 2006

Multipole-expanded soft-collinear effective theory with non-Abelian gauge symmetry
journal, February 2003

An effective field theory for collinear and soft gluons: Heavy to light decays
journal, May 2001

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journal, October 2006

A measurement of the ?0, ? and ?? electromagnetic form factors
journal, September 1991

Hadronic Spectrum of a Holographic Dual of QCD
journal, May 2005

Semileptonic decays of $B$ and $D$ mesons in the light-front formalism
journal, June 1990

Leptonic decay constants $f_{K}$ , $f_{D}$ , and $f_{D_{s}}$ with $N_{f} = 2 + 1 + 1$ twisted-mass lattice QCD
journal, March 2015

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journal, October 2005

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journal, April 2014

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journal, September 2008

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journal, June 2016

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journal, February 1973

Light-front dynamics and AdS/QCD correspondence: Gravitational form factors of composite hadrons
journal, July 2008

QCD Factorization for $B \to π π$ Decays: Strong Phases and $CP$ Violation in the Heavy Quark Limit
journal, September 1999

Imaging Dynamical Chiral-Symmetry Breaking: Pion Wave Function on the Light Front
journal, March 2013

Light-front holographic QCD and emerging confinement
journal, July 2015

Erratum to: “Three-parton contributions to $B \to M_{1} M_{2}$ annihilation at leading order” [Phys. Lett. B 647 (2007) 405]
journal, September 2007

Leading-twist pion and kaon distribution amplitudes from the QCD instanton vacuum
journal, July 2006

Measurement of the $γ γ^{*} \to π^{0}$ transition form factor
journal, September 2009

Revisiting the annihilation corrections in nonleptonic ${\bar{B}}_{s}^{0}$ decays within QCD factorization
journal, September 2012

Exclusive processes in quantum chromodynamics: Evolution equations for hadronic wavefunctions and the form factors of mesons
journal, November 1979

Meson structure in light-front holographic QCD
journal, October 2015

Flavor dependence of annihilation parameters in QCD factorization
journal, July 2013

Predicting the isospin asymmetry in $B \to K^{} γ$ using holographic AdS/QCD distribution amplitudes for the $K^{}$
journal, July 2013

Spin effects in the pion holographic light-front wavefunction
journal, April 2017

Penguin enhancement and $\vec{B} K π$ decays in perturbative QCD
journal, February 2001

Universal effective hadron dynamics from superconformal algebra
journal, August 2016

Superconformal baryon-meson symmetry and light-front holographic QCD
journal, April 2015

Application of AdS/QCD to B physics
journal, January 2016

Measurements of branching fractions and direct $C P$ asymmetries for $B \to K π$ , $B \to π π$ and $B \to K K$ decays
journal, February 2013

Asymptotic behaviour of exclusive processes in QCD
journal, October 1984

Gauge∕Gravity Duality and Hadron Physics at the Light-Front
conference, January 2010

AdS/QCD Holographic Wave Function for the $ρ$ Meson and Diffractive $ρ$ Meson Electroproduction
journal, August 2012

Exclusive processes in perturbative quantum chromodynamics
journal, November 1980

Predicting the $B \to ρ$ form factors using AdS/QCD distribution amplitudes for the $ρ$ meson
journal, October 2013

Conformal invariance and pion wave functions of nonleading twist
journal, June 1990

Power corrections in charmless nonleptonic $B$ decays: Annihilation is factorizable and real
journal, March 2008

Quantum chromodynamics and other field theories on the light cone
journal, August 1998

Meson distribution amplitudes in holographic models
journal, July 2012

Measurement of b-hadron branching fractions for two-body decays into charmless charged hadrons
journal, October 2012

Evolved QCD predictions for the meson-photon transition form factors
journal, August 2011

Baryon spectrum from superconformal quantum mechanics and its light-front holographic embedding
journal, February 2015

Light and heavy mesons in a soft-wall holographic approach
journal, October 2010

A combined fit on the annihilation corrections in $B_{u, d, s} \to PP$ decays within QCDF
journal, January 2015

Diffractive $ρ$ and $ϕ$ production at HERA using a holographic AdS/QCD light-front meson wave function
journal, October 2016

Meson/baryon/tetraquark supersymmetry from superconformal algebra and light-front holography
journal, July 2016

The zero-bin and mode factorization in quantum field theory
journal, October 2007

Light-Front Holography: A First Approximation to QCD
journal, February 2009

Review of lattice results concerning low-energy particle physics: Flavour Lattice Averaging Group (FLAG)
journal, February 2017

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journal, May 2006

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journal, April 2001

On the running coupling constant in QCD
journal, April 2007

The QCD running coupling
journal, September 2016

Predicting ${\bar{B}}^{\circ} \to ρ^{\circ} γ$ and ${\bar{B}}_{s}^{\circ} \to ρ^{\circ} γ$ using holographic AdS/QCD distribution amplitudes for the $ρ$ meson
journal, March 2013

Soft-collinear effective theory and heavy-to-light currents beyond leading power
journal, November 2002

Weak annihilation and new physics in charmless $$\varvec{B\rightarrow M M}$$ B → M M decays
journal, July 2015

QCD factorization for exclusive non-leptonic -meson decays: general arguments and the case of heavy–light final states
journal, December 2000

Impact of family-non-universal $$Z^\prime $$ Z ′ boson on pure annihilation $$B_s \rightarrow \pi ^+ \pi ^-$$ B s → π + π - and $$B_d \rightarrow K^+ K^-$$ B d → K + K - decays
journal, July 2015

$V_{u s}$ from $π$ and $K$ decay constants in full lattice QCD with physical $u$ , $d$ , $s$ , and $c$ quarks
journal, October 2013

Measurements of the meson-photon transition form factors of light pseudoscalar mesons at large momentum transfer
journal, January 1998

Measurement of $γ γ^{*} \to π^{0}$ transition form factor at Belle
journal, November 2012

Meson wave function from holographic models
journal, September 2009