Strong coupling from an improved τ vector isovector spectral function

Boito, Diogo; Golterman, Maarten; Maltman, Kim; Peris, Santiago; Rodrigues, Marcus V.; Schaaf, Wilder

doi:10.1103/PhysRevD.103.034028

Title: Strong coupling from an improved $τ$ vector isovector spectral function

Abstract

We combine ALEPH and OPAL results for the spectral distributions measured in τ→π^–π⁰ν_τ, τ→2π^–π⁺π⁰ν_τ and τ→π^–3π⁰ν_τ decays with (i) recent BaBar results for the analogous τ→K^–K⁰ν_τ distribution and (ii) estimates of the contributions from other hadronic τ-decay modes obtained using CVC and electroproduction data, to obtain a new and more precise non-strange, inclusive vector, isovector spectral function. The BaBar K^–K⁰ and CVC/electroproduction results provide us with alternate, entirely data-based input for the contributions of all exclusive modes for which ALEPH and OPAL employed Monte-Carlo-based estimates. We use the resulting spectral function to determine αs(mτ), the strong coupling at the τ mass scale, employing finite energy sum rules. Using the fixed-order perturbation theory (FOPT) prescription, we find α_s(m_τ)=0.3077±0.0075, which corresponds to the five-flavor result α_s(M_Z)=0.1171±0.0010 at the Z mass. While we also provide an estimate using contour-improved perturbation theory (CIPT), we point out that the FOPT prescription is to be preferred for comparison with other α_s determinations employing the $$\overline{MS}$$ scheme, especially given the inconsistency between CIPT and the standard operator product expansion recently pointed out in the literature. Additional experimental input on the dominant 2π and 4π modes would allow for further improvements to the current analysis.

Authors:

;

Publication Date:: Fri Feb 26 00:00:00 EST 2021

Research Org.:: San Francisco State Univ., CA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP); Sao Paulo Research Foundation (FAPESP); Brazilian National Council for Scientific and Technological Development (CNPq)

OSTI Identifier:: 1768093

Alternate Identifier(s):: OSTI ID: 1774212; OSTI ID: 1901609

Grant/Contract Number:: SC0013682; 2015/20689-9; 2019/16957-9; 309847/2018-4

Resource Type:: Published Article

Journal Name:: Physical Review D

Additional Journal Information:: Journal Name: Physical Review D Journal Volume: 103 Journal Issue: 3; Journal ID: ISSN 2470-0010

Publisher:: American Physical Society

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Particle decays; Quantum chromodynamics; Strong interaction

Citation Formats


                    Boito, Diogo, Golterman, Maarten, Maltman, Kim, Peris, Santiago, Rodrigues, Marcus V., and Schaaf, Wilder. Strong coupling from an improved τ vector isovector spectral function.  United States: N. p., 2021. 
Web.  doi:10.1103/PhysRevD.103.034028.

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                    Boito, Diogo, Golterman, Maarten, Maltman, Kim, Peris, Santiago, Rodrigues, Marcus V., & Schaaf, Wilder. Strong coupling from an improved τ vector isovector spectral function.  United States.  https://doi.org/10.1103/PhysRevD.103.034028

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                    Boito, Diogo, Golterman, Maarten, Maltman, Kim, Peris, Santiago, Rodrigues, Marcus V., and Schaaf, Wilder. Fri .  
"Strong coupling from an improved τ vector isovector spectral function".  United States.  https://doi.org/10.1103/PhysRevD.103.034028.

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@article{osti_1768093,

  title        = {Strong coupling from an improved τ vector isovector spectral function},

  author       = {Boito, Diogo and Golterman, Maarten and Maltman, Kim and Peris, Santiago and Rodrigues, Marcus V. and Schaaf, Wilder},

  abstractNote = {We combine ALEPH and OPAL results for the spectral distributions measured in τ→π–π0ντ, τ→2π–π+π0ντ and τ→π–3π0ντ decays with (i) recent BaBar results for the analogous τ→K–K0ντ distribution and (ii) estimates of the contributions from other hadronic τ-decay modes obtained using CVC and electroproduction data, to obtain a new and more precise non-strange, inclusive vector, isovector spectral function. The BaBar K–K0 and CVC/electroproduction results provide us with alternate, entirely data-based input for the contributions of all exclusive modes for which ALEPH and OPAL employed Monte-Carlo-based estimates. We use the resulting spectral function to determine αs(mτ), the strong coupling at the τ mass scale, employing finite energy sum rules. Using the fixed-order perturbation theory (FOPT) prescription, we find αs(mτ)=0.3077±0.0075, which corresponds to the five-flavor result αs(MZ)=0.1171±0.0010 at the Z mass. While we also provide an estimate using contour-improved perturbation theory (CIPT), we point out that the FOPT prescription is to be preferred for comparison with other αs determinations employing the $\overline{MS}$ scheme, especially given the inconsistency between CIPT and the standard operator product expansion recently pointed out in the literature. Additional experimental input on the dominant 2π and 4π modes would allow for further improvements to the current analysis.},

  doi          = {10.1103/PhysRevD.103.034028},

  journal      = {Physical Review D},

  number       = 3,

  volume       = 103,

  place        = {United States},

  year         = {Fri Feb 26 00:00:00 EST 2021},

  month        = {Fri Feb 26 00:00:00 EST 2021}

}

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What can asymptotic freedom say about e+e− → hadrons?
journal, June 1977

Moorhouse, R. G.; Pennington, M. R.; Ross, G. G.
Nuclear Physics B, Vol. 124, Issue 2-3
DOI: 10.1016/0550-3213(77)90316-9

Measurement of the e+e−→ ηπ+π− cross section with the CMD-3 detector at the VEPP-2000 collider
journal, January 2020

Gribanov, S. S.; Popov, A. S.; Akhmetshin, R. R.
Journal of High Energy Physics, Vol. 2020, Issue 1
DOI: 10.1007/JHEP01(2020)112

Duality violations in τ hadronic spectral moments
journal, September 2011

Boito, D. R.; Catà, O.; Golterman, M.
Nuclear Physics B - Proceedings Supplements, Vol. 218, Issue 1
DOI: 10.1016/j.nuclphysbps.2011.06.018

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Title: Strong coupling from an improved τ vector isovector spectral function

Abstract

Citation Formats

α s and the τ hadronic width: fixed-order, contour- improved and higher-order perturbation theory journal, September 2008

QCD analysis of the tau hadronic width journal, April 1992

Study of the process e + e − → π + π − η using initial state radiation journal, March 2018

Erratum: The e + e − → 2 ( π + π − ) π 0 , 2 ( π + π − ) η , K + K − π + π − π 0 and K + K − π + π − η cross sections measured with initial-state radiation [Phys. Rev. D 76 , 092005 (2007)] journal, June 2008

Four-loop decoupling relations for the strong coupling journal, January 2006

Quark-Hadron Duality book, April 2001

Strong coupling from e + e − → hadrons below charm journal, October 2018

Finite energy sum rules for the cross section of e+e−-annihilation into hadrons in QCD journal, May 1978

Spectral function sum rules in quantum chromodynamics journal, August 1979

Erratum: Decay correlations of heavy leptons in e + + e − → l + + l − journal, February 1976

Inverse-moment chiral sum rules journal, March 1996

Duality violations and spectral sum rules journal, August 2005

Gaussian sum rules in quantum chromodynamics and local duality journal, January 1985

High-statistics study of the τ − → π − π 0 ν τ decay journal, October 2008

Order α s 4 QCD Corrections to Z and τ Decays journal, July 2008

Hadronic structure in the decay τ − → π − π 0 ν τ journal, May 2000

Heavy flavor decays, OPE, and duality in the two-dimensional ’t Hooft model journal, February 1999

Chiral Sum Rules to Second Order in Quark Mass journal, November 1997

Smearing method in the quark model journal, April 1976

Illustrative example of how quark-hadron duality might work journal, March 1998

Strong coupling from hadronic τ decays: A critical appraisal journal, February 2017

Precise measurement of hadronic τ-decays with an η meson journal, February 2009

Updated measurement of the e + e − → ω π 0 → π 0 π 0 γ cross section with the SND detector journal, December 2016

Five-Loop Running of the QCD Coupling Constant journal, February 2017

Possible duality violations in τ decay and their impact on the determination of α s journal, March 2009

Contour-improved versus fixed-order perturbation theory in hadronic τ decays journal, September 2005

Chiral sum rules and duality in QCD journal, February 1999

The e + e − → 2 ( π + π − ) π 0 , 2 ( π + π − ) η , K + K − π + π − π 0 and K + K − π + π − η cross sections measured with initial-state radiation journal, November 2007

Measurement of the strong coupling constant $\alpha_{\rm s}$ and the vector and axial-vector spectral functions in hadronic tau decays journal, March 1999

Fitting parton distribution data with multiplicative normalization uncertainties journal, May 2010

Updated determination of α s from τ decays journal, May 2012

Renormalization group analysis of the τ-lepton decay within QCD journal, September 1992

The e + e − → 3 ( π + π − ) , 2 ( π + π − π 0 ) and K + K − 2 ( π + π − ) cross sections at center-of-mass energies from production threshold to 4.5 GeV measured with initial-state radiation journal, March 2006

New determination of α s from hadronic τ decays journal, December 2011

The five-loop beta function of Yang-Mills theory with fermions journal, February 2017

The perturbative QCD prediction to Rτ revisited journal, July 1992

Constraints on hadronic spectral functions from continuous families of finite energy sum rules journal, November 1998

Study of the reactions e + e − → π + π − π 0 π 0 π 0 and π + π − π 0 π 0 η at center-of-mass energies from threshold to 4.35 GeV using initial-state radiation journal, December 2018

Study of the process e + e − → ω η π 0 in the energy range s < 2 GeV with the SND detector journal, August 2016

Perturbative expansion of τ hadronic spectral function moments and α s extractions journal, January 2013

Recent results from SND detector at VEPP-2000 collider journal, January 2019

Hyperasymptotics and quark-hadron duality violations in QCD journal, March 2018

Renormalons journal, August 1999

Constraints on the behaviour of the e+e− hadron annihilation cross section in asymptotically free theories and in theories with anomalous dimensions journal, February 1977

Measurement of the spectral function for the τ − → K − K S ν τ decay journal, August 2018

Review of Particle Physics journal, August 2020

The determination of α S from τ decays revisited journal, August 2008

Unraveling duality violations in hadronic tau decays journal, May 2008

Measurement of the e + e − → π + π − π 0 π 0 cross section using initial-state radiation at BABAR journal, November 2017

Higher-order perturbative coefficients in QCD from series acceleration by conformal mappings journal, September 2019

Determining $\alpha_s$ from hadronic $\tau$ decay: the pitfalls of truncating the OPE journal, January 2019

Renormalons in integrated spectral function moments and α s extractions journal, April 2020

QCD decoupling at four loops journal, June 2006

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QCD predictions for the decay of the τ lepton journal, April 1988

Evidence against naive truncations of the OPE from e + e − → hadrons below charm journal, October 2019

Testing an approximation to large-Nc QCD with a toy model journal, January 2002

Measurement of the e + e − → η π + π − cross section with the SND detector at the VEPP-2000 collider journal, January 2018

Measurement of the axial-vector $\tau$ spectral functions and determination of $\alpha_s(M_\tau^2)$ from hadronic $\tau$ decays journal, July 1998

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Decay Correlations of Heavy Leptons in e + + e − → l + + l − journal, November 1971

Muon g − 2 and α ( M Z 2 ) : A new data-based analysis journal, June 2018

The use of finite energy sum rules for the description of the hadronic properties of QCD journal, December 1983

Erratum: Illustrative example of how quark-hadron duality might work [Phys. Rev. D 57, 2691 (1998)] journal, November 1998

Determination of the QCD coupling from ALEPH τ decay data journal, August 2016

Two-point functions at two loops in three flavour chiral perturbation theory journal, February 2000

Strong coupling from the revised ALEPH data for hadronic τ decays journal, February 2015

Determination of the quark-gluon coupling constant journal, February 1977

Measurement of αS from τ decays journal, August 1995

Measurement of the e + e − → π + π − π 0 η cross section below s = 2 GeV journal, June 2019

Study of the process e + e − → π + π − π 0 η in the c.m. energy range 1394–2005 MeV with the CMD-3 detector journal, October 2017

Measurement of the e + e − → η π + π − cross section in the center-of-mass energy range 1.22–2.00 GeV with the SND detector at the VEPP-2000 collider journal, March 2015

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

Higher-order QCD corrections to hadronic τ decays from Padé approximants journal, August 2018

On the use of the covariance matrix to fit correlated data journal, July 1994

Measurements of e + e − → K + K − η , K + K − π 0 , and K s 0 K ± π ∓ cross sections using initial state radiation events journal, May 2008

What can asymptotic freedom say about e+e− → hadrons? journal, June 1977

Title: Strong coupling from an improved $τ$ vector isovector spectral function

α _s and the τ hadronic width: fixed-order, contour- improved and higher-order perturbation theory
journal, September 2008

QCD analysis of the tau hadronic width
journal, April 1992

Study of the process $e^{+} e^{-} \to π^{+} π^{-} η$ using initial state radiation
journal, March 2018

Erratum: The $e^{+} e^{-} \to 2 (π^{+} π^{-}) π^{0}$ , $2 (π^{+} π^{-}) η$ , $K^{+} K^{-} π^{+} π^{-} π^{0}$ and $K^{+} K^{-} π^{+} π^{-} η$ cross sections measured with initial-state radiation [Phys. Rev. D 76 , 092005 (2007)]
journal, June 2008

Four-loop decoupling relations for the strong coupling
journal, January 2006

Quark-Hadron Duality
book, April 2001

Strong coupling from $e^{+} e^{-} \to hadrons$ below charm
journal, October 2018

Finite energy sum rules for the cross section of e+e−-annihilation into hadrons in QCD
journal, May 1978

Spectral function sum rules in quantum chromodynamics
journal, August 1979

Erratum: Decay correlations of heavy leptons in $e^{+} + e^{-} \to l^{+} + l^{-}$
journal, February 1976

Inverse-moment chiral sum rules
journal, March 1996

Duality violations and spectral sum rules
journal, August 2005

Gaussian sum rules in quantum chromodynamics and local duality
journal, January 1985

High-statistics study of the $τ^{-} \to π^{-} π^{0} ν_{τ}$ decay
journal, October 2008

Order $α_{s}^{4}$ QCD Corrections to $Z$ and $τ$ Decays
journal, July 2008

Hadronic structure in the decay $τ^{-} \to π^{-} π^{0} ν_{τ}$
journal, May 2000

Heavy flavor decays, OPE, and duality in the two-dimensional ’t Hooft model
journal, February 1999

Chiral Sum Rules to Second Order in Quark Mass
journal, November 1997

Smearing method in the quark model
journal, April 1976

Illustrative example of how quark-hadron duality might work
journal, March 1998

Strong coupling from hadronic $τ$ decays: A critical appraisal
journal, February 2017

Precise measurement of hadronic τ-decays with an η meson
journal, February 2009

Updated measurement of the $e^{+} e^{-} \to ω π^{0} \to π^{0} π^{0} γ$ cross section with the SND detector
journal, December 2016

Five-Loop Running of the QCD Coupling Constant
journal, February 2017

Possible duality violations in $τ$ decay and their impact on the determination of $α_{s}$
journal, March 2009

Contour-improved versus fixed-order perturbation theory in hadronic τ decays
journal, September 2005

Chiral sum rules and duality in QCD
journal, February 1999

The $e^{+} e^{-} \to 2 (π^{+} π^{-}) π^{0}$ , $2 (π^{+} π^{-}) η$ , $K^{+} K^{-} π^{+} π^{-} π^{0}$ and $K^{+} K^{-} π^{+} π^{-} η$ cross sections measured with initial-state radiation
journal, November 2007

Measurement of the strong coupling constant $\alpha_{\rm s}$ and the vector and axial-vector spectral functions in hadronic tau decays
journal, March 1999

Fitting parton distribution data with multiplicative normalization uncertainties
journal, May 2010

Updated determination of $α_{s}$ from $τ$ decays
journal, May 2012

Renormalization group analysis of the τ-lepton decay within QCD
journal, September 1992

The $e^{+} e^{-} \to 3 (π^{+} π^{-})$ , $2 (π^{+} π^{-} π^{0})$ and $K^{+} K^{-} 2 (π^{+} π^{-})$ cross sections at center-of-mass energies from production threshold to 4.5 GeV measured with initial-state radiation
journal, March 2006

New determination of $α_{s}$ from hadronic $τ$ decays
journal, December 2011

The five-loop beta function of Yang-Mills theory with fermions
journal, February 2017

The perturbative QCD prediction to Rτ revisited
journal, July 1992

Constraints on hadronic spectral functions from continuous families of finite energy sum rules
journal, November 1998

Study of the reactions e + e − → π + π − π 0 π 0 π 0 and π + π − π 0 π 0 η at center-of-mass energies from threshold to 4.35 GeV using initial-state radiation
journal, December 2018

Study of the process $e^{+} e^{-} \to ω η π^{0}$ in the energy range $\sqrt{s} < 2 GeV$ with the SND detector
journal, August 2016

Perturbative expansion of τ hadronic spectral function moments and α s extractions
journal, January 2013

Recent results from SND detector at VEPP-2000 collider
journal, January 2019

Hyperasymptotics and quark-hadron duality violations in QCD
journal, March 2018

Renormalons
journal, August 1999

Constraints on the behaviour of the e+e− hadron annihilation cross section in asymptotically free theories and in theories with anomalous dimensions
journal, February 1977

Measurement of the spectral function for the $τ^{-} \to K^{-} K_{S} ν_{τ}$ decay
journal, August 2018

Review of Particle Physics
journal, August 2020

The determination of α S from τ decays revisited
journal, August 2008

Unraveling duality violations in hadronic tau decays
journal, May 2008

Measurement of the $e^{+} e^{-} \to π^{+} π^{-} π^{0} π^{0}$ cross section using initial-state radiation at BABAR
journal, November 2017

Higher-order perturbative coefficients in QCD from series acceleration by conformal mappings
journal, September 2019

Determining $\alpha_s$ from hadronic $\tau$ decay: the pitfalls of truncating the OPE
journal, January 2019

Renormalons in integrated spectral function moments and $α_{s}$ extractions
journal, April 2020

QCD decoupling at four loops
journal, June 2006

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

QCD predictions for the decay of the τ lepton
journal, April 1988

Evidence against naive truncations of the OPE from $e^{+} e^{-} \to hadrons$ below charm
journal, October 2019

Testing an approximation to large-Nc QCD with a toy model
journal, January 2002

Measurement of the $e^{+} e^{-} \to η π^{+} π^{-}$ cross section with the SND detector at the VEPP-2000 collider
journal, January 2018

Measurement of the axial-vector $\tau$ spectral functions and determination of $\alpha_s(M_\tau^2)$ from hadronic $\tau$ decays
journal, July 1998

Testing QCD with τ decays
journal, September 1992

Decay Correlations of Heavy Leptons in $e^{+} + e^{-} \to l^{+} + l^{-}$
journal, November 1971

Muon $g - 2$ and $α (M_{Z}^{2})$ : A new data-based analysis
journal, June 2018

The use of finite energy sum rules for the description of the hadronic properties of QCD
journal, December 1983

Erratum: Illustrative example of how quark-hadron duality might work [Phys. Rev. D 57, 2691 (1998)]
journal, November 1998

Determination of the QCD coupling from ALEPH $τ$ decay data
journal, August 2016

Two-point functions at two loops in three flavour chiral perturbation theory
journal, February 2000

Strong coupling from the revised ALEPH data for hadronic $τ$ decays
journal, February 2015

Determination of the quark-gluon coupling constant
journal, February 1977

Measurement of αS from τ decays
journal, August 1995

Measurement of the e + e − → π + π − π 0 η cross section below s = 2 GeV
journal, June 2019

Study of the process e + e − → π + π − π 0 η in the c.m. energy range 1394–2005 MeV with the CMD-3 detector
journal, October 2017

Measurement of the $e^{+} e^{-} \to η π^{+} π^{-}$ cross section in the center-of-mass energy range 1.22–2.00 GeV with the SND detector at the VEPP-2000 collider
journal, March 2015

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

Higher-order QCD corrections to hadronic τ decays from Padé approximants
journal, August 2018

On the use of the covariance matrix to fit correlated data
journal, July 1994

Measurements of $e^{+} e^{-} \to K^{+} K^{-} η$ , $K^{+} K^{-} π^{0}$ , and $K_{s}^{0} K^{\pm} π^{\mp}$ cross sections using initial state radiation events
journal, May 2008

What can asymptotic freedom say about e+e− → hadrons?
journal, June 1977

Measurement of the e+e−→ ηπ+π− cross section with the CMD-3 detector at the VEPP-2000 collider
journal, January 2020

Duality violations in τ hadronic spectral moments
journal, September 2011