Pole position of the a 1 ( 1260 ) from τ -decay

Mikhasenko, M.; Pilloni, A.; Jackura, A.; Albaladejo, M.; Fernández-Ramírez, C.; Mathieu, V.; Nys, J.; Rodas, A.; Ketzer, B.; Szczepaniak, A. P.

doi:10.1103/PhysRevD.98.096021

Title: Pole position of the $a_{1} (1260)$ from $τ$ -decay

Abstract

We perform an analysis of the three-pion system with quantum numbers J^PC = 1⁺⁺ produced in the weak decay of tau leptons. The interaction is known to be dominated by the axial meson a₁(1260). Here, we build a model based on approximate three-body unitary and fix the free parameters by fitting it to the ALEPH data on τ^- → π^- π⁺- π^- ν_τ decay. We then perform the analytic continuation of the amplitude to the complex energy plane. The singularity structures related to the ππ subchannel resonances are carefully addressed. Finally, we extract the a₁(1260) pole position m$$a_1(1260))\atop{p}$$-iΓ$$a_1(1260))\atop{p}$$/2 with m$$a_1(1260))\atop{p}$$ = (1209 ± 4 $$+12\atop{-9}$$) MeV, Γ $$a_1(1260))\atop{p}$$ = (576 ± 11 $$+80\atop{-20}$$) MeV.

Authors:: Mikhasenko, M.; Pilloni, A.; Jackura, A.; Albaladejo, M.; Fernández-Ramírez, C.; Mathieu, V.; Nys, J.; Rodas, A.; Ketzer, B.; Szczepaniak, A. P.; Joint Physics Analysis Center Collaboration

Publication Date:: Wed Nov 28 00:00:00 EST 2018

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

Contributing Org.:: Joint Physics Analysis Center Collaboration

OSTI Identifier:: 1483739

Alternate Identifier(s):: OSTI ID: 1484176

Report Number(s):: JLAB-THY-18-2816; DOE/OR/-23177-4552; arXiv:1810.00016
Journal ID: ISSN 2470-0010; PRVDAQ; 096021

Grant/Contract Number:: AC05-06OR23177; FG02-87ER40365; IA101717; IA101819; 251817; PHY-1415459; FPA2016-77313-P; FPA2016-75654-C2-2-P

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 98 Journal Issue: 9; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS

Citation Formats


                    Mikhasenko, M., Pilloni, A., Jackura, A., Albaladejo, M., Fernández-Ramírez, C., Mathieu, V., Nys, J., Rodas, A., Ketzer, B., Szczepaniak, A. P., and Joint Physics Analysis Center Collaboration. Pole position of the a 1 ( 1260 ) from τ -decay.  United States: N. p., 2018. 
Web.  doi:10.1103/PhysRevD.98.096021.

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                    Mikhasenko, M., Pilloni, A., Jackura, A., Albaladejo, M., Fernández-Ramírez, C., Mathieu, V., Nys, J., Rodas, A., Ketzer, B., Szczepaniak, A. P., & Joint Physics Analysis Center Collaboration. Pole position of the a 1 ( 1260 ) from τ -decay.  United States.  https://doi.org/10.1103/PhysRevD.98.096021

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                    Mikhasenko, M., Pilloni, A., Jackura, A., Albaladejo, M., Fernández-Ramírez, C., Mathieu, V., Nys, J., Rodas, A., Ketzer, B., Szczepaniak, A. P., and Joint Physics Analysis Center Collaboration. Wed .  
"Pole position of the a 1 ( 1260 ) from τ -decay".  United States.  https://doi.org/10.1103/PhysRevD.98.096021.

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@article{osti_1483739,

  title        = {Pole position of the a 1 ( 1260 ) from τ -decay},

  author       = {Mikhasenko, M. and Pilloni, A. and Jackura, A. and Albaladejo, M. and Fernández-Ramírez, C. and Mathieu, V. and Nys, J. and Rodas, A. and Ketzer, B. and Szczepaniak, A. P. and Joint Physics Analysis Center Collaboration},

  abstractNote = {We perform an analysis of the three-pion system with quantum numbers JPC = 1++ produced in the weak decay of tau leptons. The interaction is known to be dominated by the axial meson a1(1260). Here, we build a model based on approximate three-body unitary and fix the free parameters by fitting it to the ALEPH data on τ- → π- π+- π- ντ decay. We then perform the analytic continuation of the amplitude to the complex energy plane. The singularity structures related to the ππ subchannel resonances are carefully addressed. Finally, we extract the a1(1260) pole position m$a_1(1260))\atop{p}$-iΓ$a_1(1260))\atop{p}$/2 with m$a_1(1260))\atop{p}$ = (1209 ± 4 $+12\atop{-9}$) MeV, Γ $a_1(1260))\atop{p}$ = (576 ± 11 $+80\atop{-20}$) MeV.},

  doi          = {10.1103/PhysRevD.98.096021},

  journal      = {Physical Review D},

  number       = 9,

  volume       = 98,

  place        = {United States},

  year         = {Wed Nov 28 00:00:00 EST 2018},

  month        = {Wed Nov 28 00:00:00 EST 2018}

}

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<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>τ</mml:mi><mml:mo>→</mml:mo><mml:mi>π</mml:mi><mml:mi>π</mml:mi><mml:mi>π</mml:mi><mml:msub><mml:mi>ν</mml:mi><mml:mi>τ</mml:mi></mml:msub></mml:math> decays and the a1(1260) off-shell width revisited
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Title: Pole position of the a 1 ( 1260 ) from τ -decay

Abstract

Citation Formats

New results on ππ phase shifts between 600 and 1900 MeV journal, July 1996

Partial-Wave Analysis of the Deck Amplitude for π N → π π π N journal, December 1973

Low lying axial-vector mesons as dynamically generated resonances journal, July 2005

Ab Initio Determination of Light Hadron Masses journal, November 2008

The A1 revisited journal, December 1986

Recoupling Effects in the Isobar Model. I. General Formalism for Three-Pion Scattering journal, July 1964

Relating the finite-volume spectrum and the two-and-three-particle S matrix for relativistic systems of identical scalar particles journal, April 2017

Unstable-particle scattering and an analytic quasi-unitary isobar model journal, January 1979

Dispersion-theoretical analysis of the D + → K − π + π + Dalitz plot journal, October 2015

An Introduction to the Bootstrap book, January 1993

Applying the relativistic quantization condition to a three-particle bound state in a periodic box journal, February 2017

Review of Particle Physics journal, July 2004

Modified Isobar Approximation for π − ρ Scattering journal, June 1965

Review of Particle Physics journal, August 2018

Resonance production and π π S -wave in π − + p → π − π − π + + p recoil at 190 GeV / c journal, February 2017

Singularities in the Unphysical Sheets and the Isobar Model journal, June 1963

Toward the excited meson spectrum of dynamical QCD journal, August 2010

A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations journal, January 2002

Hadronic structure in the decay τ − → ν τ π − π 0 π 0 and the sign of the tau neutrino helicity journal, December 1999

Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes journal, June 1968

SymPy: symbolic computing in Python journal, January 2017

Extended chiral Khuri–Treiman formalism for $$\eta \rightarrow 3\pi $$ η → 3 π and the role of the $$a_0(980)$$ a 0 ( 980 ) , $$f_0(980)$$ f 0 ( 980 ) resonances journal, August 2017

Dalitz plot distributions in presence of triangle singularities journal, June 2016

Dispersive analysis of ω→3π and ϕ→3π decays journal, May 2012

Kinematical Interpretation of the First π − p Resonance journal, August 1964

Nature of the a 1 ( 1420 ) journal, May 2015

Hadronic molecules journal, February 2018

Three-body unitarity in the finite volume journal, December 2017

Nonstandard heavy mesons and baryons: Experimental evidence journal, February 2018

Rho-meson shape journal, July 1968

Light isovector resonances in π − p → π − π − π + p at 190 GeV / c journal, November 2018

Structure functions in τ decays journal, June 1995

η → 3 π : Study of the Dalitz Plot and Extraction of the Quark Mass Ratio Q journal, January 2017

An Introduction to Regge Theory and High Energy Physics book, October 2011

Amplitude analysis and the nature of the Z c (3900) journal, September 2017

The a 1 in τ decay journal, March 1989

Three-Body Unitarity and Khuri-Treiman Amplitudes journal, December 1966

Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations journal, October 2018

Three-particle bound states in a finite volume: Unequal masses and higher partial waves journal, July 2018

Update of the ALEPH non-strange spectral functions from hadronic $$\tau $$ τ decays journal, March 2014

Numerical study of the relativistic three-body quantization condition in the isotropic approximation journal, July 2018

Unitary coupled-channel analysis of diffractive production of the A 1 resonance journal, August 1977

Observation of a New Narrow Axial-Vector Meson a 1 ( 1420 ) journal, August 2015

Structure functions in ? decays journal, December 1992

Structure functions in semihadronic Tau decays journal, May 1997

Analysis of the meson-meson data in the framework of the dispersion D -matrix method journal, October 2011

Dispersive analysis of ω / ϕ → 3 π , π γ * journal, May 2015

Triangle singularities and XYZ quarkonium peaks journal, July 2015

Composite and elementary natures of a 1 ( 1260 ) meson journal, June 2011

Kinematics of General Scattering Processes and the Mandelstam Representation journal, February 1960

a 1 ( 1420 ) peak as the π f 0 ( 980 ) decay mode of the a 1 ( 1260 ) journal, November 2016

Three-body unitarity with isobars revisited journal, September 2017

Multiquark resonances journal, January 2017

Branching Fractions of τ Leptons to Three Charged Hadrons journal, May 2003

Branching ratios and spectral functions of τ decays: Final ALEPH measurements and physics implications journal, December 2005

Resonance chiral Lagrangian currents and experimental data for τ − → π − π − π + ν τ journal, November 2013

Are there important unitarity corrections to the isobar model? journal, July 1979

$a_1$ properties in hadronic tau decays conference, April 2017

Title: Pole position of the $a_{1} (1260)$ from $τ$ -decay

New results on ππ phase shifts between 600 and 1900 MeV
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Partial-Wave Analysis of the Deck Amplitude for $π N \to π π π N$
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Low lying axial-vector mesons as dynamically generated resonances
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Ab Initio Determination of Light Hadron Masses
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The A1 revisited
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Recoupling Effects in the Isobar Model. I. General Formalism for Three-Pion Scattering
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Relating the finite-volume spectrum and the two-and-three-particle $S$ matrix for relativistic systems of identical scalar particles
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Unstable-particle scattering and an analytic quasi-unitary isobar model
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Dispersion-theoretical analysis of the D + → K − π + π + Dalitz plot
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An Introduction to the Bootstrap
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Applying the relativistic quantization condition to a three-particle bound state in a periodic box
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Review of Particle Physics
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Modified Isobar Approximation for $π - ρ$ Scattering
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Review of Particle Physics
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Resonance production and $π π$ $S$ -wave in $π^{-} + p \to π^{-} π^{-} π^{+} + p_{recoil}$ at $190 GeV / c$
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Singularities in the Unphysical Sheets and the Isobar Model
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Toward the excited meson spectrum of dynamical QCD
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A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
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Hadronic structure in the decay $τ^{-} \to ν_{τ} π^{-} π^{0} π^{0}$ and the sign of the tau neutrino helicity
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Khuri-Treiman-Type Equations for Three-Body Decay and Production Processes
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SymPy: symbolic computing in Python
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Extended chiral Khuri–Treiman formalism for $$\eta \rightarrow 3\pi $$ η → 3 π and the role of the $$a_0(980)$$ a 0 ( 980 ) , $$f_0(980)$$ f 0 ( 980 ) resonances
journal, August 2017

Dalitz plot distributions in presence of triangle singularities
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Dispersive analysis of ω→3π and ϕ→3π decays
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Kinematical Interpretation of the First $π - p$ Resonance
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Nature of the $a_{1} (1420)$
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Hadronic molecules
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Three-body unitarity in the finite volume
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Nonstandard heavy mesons and baryons: Experimental evidence
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Rho-meson shape
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Light isovector resonances in $π^{-} p \to π^{-} π^{-} π^{+} p$ at $190 GeV / c$
journal, November 2018

Structure functions in τ decays
journal, June 1995

$η \to 3 π$ : Study of the Dalitz Plot and Extraction of the Quark Mass Ratio $Q$
journal, January 2017

An Introduction to Regge Theory and High Energy Physics
book, October 2011

Amplitude analysis and the nature of the Z c (3900)
journal, September 2017

The $a_{1}$ in τ decay
journal, March 1989

Three-Body Unitarity and Khuri-Treiman Amplitudes
journal, December 1966

Two- and three-body interactions in $$\varphi ^4$$ φ 4 theory from lattice simulations
journal, October 2018

Three-particle bound states in a finite volume: Unequal masses and higher partial waves
journal, July 2018

Update of the ALEPH non-strange spectral functions from hadronic $$\tau $$ τ decays
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Numerical study of the relativistic three-body quantization condition in the isotropic approximation
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Unitary coupled-channel analysis of diffractive production of the $A_{1}$ resonance
journal, August 1977

Observation of a New Narrow Axial-Vector Meson $a_{1} (1420)$
journal, August 2015

Structure functions in ? decays
journal, December 1992

Structure functions in semihadronic Tau decays
journal, May 1997

Analysis of the meson-meson data in the framework of the dispersion $D$ -matrix method
journal, October 2011

Dispersive analysis of $ω / ϕ \to 3 π, π γ^{*}$
journal, May 2015

Triangle singularities and XYZ quarkonium peaks
journal, July 2015

Composite and elementary natures of $a_{1} (1260)$ meson
journal, June 2011

Kinematics of General Scattering Processes and the Mandelstam Representation
journal, February 1960

$a_{1} (1420)$ peak as the $π f_{0} (980)$ decay mode of the $a_{1} (1260)$
journal, November 2016

Three-body unitarity with isobars revisited
journal, September 2017

Multiquark resonances
journal, January 2017

Branching Fractions of $τ$ Leptons to Three Charged Hadrons
journal, May 2003

Branching ratios and spectral functions of τ decays: Final ALEPH measurements and physics implications
journal, December 2005

Resonance chiral Lagrangian currents and experimental data for $τ^{-} \to π^{-} π^{-} π^{+} ν_{τ}$
journal, November 2013

Are there important unitarity corrections to the isobar model?
journal, July 1979

$a_1$ properties in hadronic tau decays
conference, April 2017