Determinations of Vus using inclusive hadronic τ decay data

Maltman, Kim; Hudspith, Renwick James; Lewis, Randy; Izubuchi, Taku; Ohki, Hiroshi; Zanotti, James M.

doi:10.1142/S0217732316300305

Title: Determinations of Vus using inclusive hadronic τ decay data

Abstract

Two methods for determining |V_us| employing inclusive hadronic ττ decay data are discussed. The first is the conventional flavor-breaking sum rule determination whose usual implementation produces results ~3σ low compared to three-family unitary expectations. The second is a novel approach combining experimental strange hadronic ττ distributions with lattice light-strange current–current two-point function data. In preliminary explorations of the latter show the method promises |V_us| determinations are competitive with those from K_ℓ3 and Γ[π_μ2]/Γ[π_μ2]. For the former, systematic issues in the conventional implementation are investigated. Unphysical dependences of |V_us| on the choice of sum rule weight, w, and upper limit, s₀, of the weighted experimental spectral integrals are observed, the source of these problems identified and a new implementation which overcomes these problems developed. The lattice results are shown to provide a tool for quantitatively assessing truncation uncertainties for the slowly converging D=2 OPE series. Our results for |V_us| from this new implementation are shown to be free of unphysical w- and s0-dependences, and ~0.0020 higher than those produced by the conventional implementation. With preliminary new Kπ branching fraction results as input, we find |V_us| in excellent agreement with that obtained from K_ℓ3, and compatible within errors with expectations from three-familymore » unitarity.« less

Authors:

Maltman, Kim ^[1]; Hudspith, Renwick James ^[2]; Lewis, Randy ^[2]; Izubuchi, Taku ^[3]; Ohki, Hiroshi ^[3]; Zanotti, James M. ^[4]

York Univ., Toronto, ON (Canada). Mathematics and Statistics; Univ. of Adelaide, SA (Australia). CSSM
York Univ., Toronto, ON (Canada). Physics and Astronomy
Brookhaven National Lab. (BNL), Upton, NY (United States). RIKEN-BNL Research Center
Univ. of Adelaide, SA (Australia). CSSM

Publication Date:: Tue Aug 30 00:00:00 EDT 2016

Research Org.:: Brookhaven National Lab. (BNL), Upton, NY (United States)

Sponsoring Org.:: USDOE Office of Science (SC), High Energy Physics (HEP)

OSTI Identifier:: 1349556

Report Number(s):: BNL-113644-2017-JA
Journal ID: ISSN 0217-7323; KA2401012; TRN: US1701681

Grant/Contract Number:: SC00112704

Resource Type:: Accepted Manuscript

Journal Name:: Modern Physics Letters A

Additional Journal Information:: Journal Volume: 31; Journal Issue: 29; Journal ID: ISSN 0217-7323

Publisher:: World Scientific Publishing

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CKM; sum rules; τ decay; unitarity; hadronic; flavor; CP; violation

Citation Formats


                    Maltman, Kim, Hudspith, Renwick James, Lewis, Randy, Izubuchi, Taku, Ohki, Hiroshi, and Zanotti, James M. Determinations of Vus using inclusive hadronic τ decay data.  United States: N. p., 2016. 
Web.  doi:10.1142/S0217732316300305.

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                    Maltman, Kim, Hudspith, Renwick James, Lewis, Randy, Izubuchi, Taku, Ohki, Hiroshi, & Zanotti, James M. Determinations of Vus using inclusive hadronic τ decay data.  United States.  https://doi.org/10.1142/S0217732316300305

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                    Maltman, Kim, Hudspith, Renwick James, Lewis, Randy, Izubuchi, Taku, Ohki, Hiroshi, and Zanotti, James M. Tue .  
"Determinations of Vus using inclusive hadronic τ decay data".  United States.  https://doi.org/10.1142/S0217732316300305.  https://www.osti.gov/servlets/purl/1349556.

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@article{osti_1349556,

  title        = {Determinations of Vus using inclusive hadronic τ decay data},

  author       = {Maltman, Kim and Hudspith, Renwick James and Lewis, Randy and Izubuchi, Taku and Ohki, Hiroshi and Zanotti, James M.},

  abstractNote = {Two methods for determining |Vus| employing inclusive hadronic ττ decay data are discussed. The first is the conventional flavor-breaking sum rule determination whose usual implementation produces results ~3σ low compared to three-family unitary expectations. The second is a novel approach combining experimental strange hadronic ττ distributions with lattice light-strange current–current two-point function data. In preliminary explorations of the latter show the method promises |Vus| determinations are competitive with those from Kℓ3 and Γ[πμ2]/Γ[πμ2]. For the former, systematic issues in the conventional implementation are investigated. Unphysical dependences of |Vus| on the choice of sum rule weight, w, and upper limit, s0, of the weighted experimental spectral integrals are observed, the source of these problems identified and a new implementation which overcomes these problems developed. The lattice results are shown to provide a tool for quantitatively assessing truncation uncertainties for the slowly converging D=2 OPE series. Our results for |Vus| from this new implementation are shown to be free of unphysical w- and s0-dependences, and ~0.0020 higher than those produced by the conventional implementation. With preliminary new Kπ branching fraction results as input, we find |Vus| in excellent agreement with that obtained from Kℓ3, and compatible within errors with expectations from three-family unitarity.},

  doi          = {10.1142/S0217732316300305},

  journal      = {Modern Physics Letters A},

  number       = 29,

  volume       = 31,

  place        = {United States},

  year         = {Tue Aug 30 00:00:00 EDT 2016},

  month        = {Tue Aug 30 00:00:00 EDT 2016}

}

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Title: Determinations of Vus using inclusive hadronic τ decay data

Abstract

Citation Formats

Direct determination of the strange and light quark condensates from full lattice QCD journal, February 2013

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

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

Predicting the τ strange branching ratios and implications for V us journal, October 2013

Continuum limit physics from 2 + 1 flavor domain wall QCD journal, April 2011

Review of lattice results concerning low-energy particle physics journal, September 2014

Review of Particle Physics journal, August 2014

Measurement of the τ − → K − π 0 ν τ branching fraction journal, September 2007

Domain wall QCD with physical quark masses journal, April 2016

Measurement of the branching fractions and the invariant mass distributions for τ − → h − h + h − ν τ decays journal, June 2010

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

The kaon semileptonic form factor in N f = 2 + 1 domain wall lattice QCD with physical light quark masses journal, June 2015

Chiral perturbation theory: Expansions in the mass of the strange quark journal, January 1985

Superallowed 0 + → 0 + nuclear β decays: 2014 critical survey, with precise results for V u d and CKM unitarity journal, February 2015

Exclusive Branching-Fraction Measurements of Semileptonic τ Decays into Three Charged Hadrons, into φ π − ν τ , and into φ K − ν τ journal, January 2008

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

Decay constants, light quark masses, and quark mass bounds from light quark pseudoscalar sum rules journal, March 2002

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journal, February 2013

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

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journal, October 2014

Predicting the τ strange branching ratios and implications for V us
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journal, April 2011

Review of lattice results concerning low-energy particle physics
journal, September 2014

Review of Particle Physics
journal, August 2014

Measurement of the $τ^{-} \to K^{-} π^{0} ν_{τ}$ branching fraction
journal, September 2007

Domain wall QCD with physical quark masses
journal, April 2016

Measurement of the branching fractions and the invariant mass distributions for $τ^{-} \to h^{-} h^{+} h^{-} ν_{τ}$ decays
journal, June 2010

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

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journal, June 2015

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Superallowed $0^{+} \to 0^{+}$ nuclear $β$ decays: 2014 critical survey, with precise results for $V_{u d}$ and CKM unitarity
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Exclusive Branching-Fraction Measurements of Semileptonic $τ$ Decays into Three Charged Hadrons, into $φ π^{-} ν_{τ}$ , and into $φ K^{-} ν_{τ}$
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Update of the ALEPH non-strange spectral functions from hadronic $$\tau $$ τ decays
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Decay constants, light quark masses, and quark mass bounds from light quark pseudoscalar sum rules
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