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τ→KSπ-ντ and τ→K-ηντ decays: A combined analysis

  • 1.

    Grup de Física Teòrica, Departament de Física, Universitat Autònoma de Barcelona, E-08193 Bellaterra (Barcelona), Spain

  • 2.

    Institut de Física dAltes Energies (IFAE), The Barcelona Institute of Science and Technology, Campus UAB, E-08193 Bellaterra (Barcelona), Spain

Funds:  Supported in part by the the Ministerio de Ciencia e Innovación (FPA2011-25948), the Ministerio de Economia y Competitividad (CICYT-FEDER-FPA 2014-55613-P, SEV-2012-0234), the Secretaria dUniversitats i Recerca del Departament dEconomia i Coneixement de la Generalitat de Catalunya (2014 SGR 1450), and the Spanish Consolider-Ingenio 2010 Programme CPAN (CSD2007-00042).
Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2016.05.007
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  • Author Bio:

    ESCRIBANO R.,male, born in 1969, PhD/associate Prof. Research field: phenomenology of strong interactions at low energies. E-mail: rescriba@ifae.es

  • Received Date: 30 November 2015
  • Accepted Date: 20 April 2016
  • Rev Recd Date: 20 April 2016
  • Publish Date: 31 May 2016
    Abstract

  • Abstract

    The decay spectra of τ-→KSπ-ντ and τ-→K-ηντ decays are studied in a combined analysis using a dispersive representation of the required vector and scalar form factors. The K*(1410) resonance parameters are extracted with improved precision as compared to previous studies, with the findings MK*′=1 304±17 MeV and ΓK*′=171±62 MeV. Isospin violations in the form factor slopes are investigated as the K-π0 vector form factor enters the description of the decay τ-→K-ηντ. In this respect, the spectrum of the transition τ-→K-π0ντ would be extremely useful.

    Abstract

    The decay spectra of τ-→KSπ-ντ and τ-→K-ηντ decays are studied in a combined analysis using a dispersive representation of the required vector and scalar form factors. The K*(1410) resonance parameters are extracted with improved precision as compared to previous studies, with the findings MK*′=1 304±17 MeV and ΓK*′=171±62 MeV. Isospin violations in the form factor slopes are investigated as the K-π0 vector form factor enters the description of the decay τ-→K-ηντ. In this respect, the spectrum of the transition τ-→K-π0ντ would be extremely useful.
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    • References(32)
  • [1]
    BARATE R, DECAMP D, GHEZ P, et al (ALEPH Collaboration). Study of τ decays involving kaons, spectral functions and determination of the strange quark mass[J]. Eur Phys J C, 1999, 11: 599-618.
    [2]
    ABBIENDI G, AINSLEY C, KESSON P F, et al (OPAL Collaboration). Measurement of the strange spectral function in hadronicτdecays[J]. Eur Phys J C, 2004, 35: 437-455.
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    AUBERT B, BONA M, BOUTIGNY D, et al (BaBar Collaboration). Measurement of the τ-→K-π0ντ branching fraction[J]. Phys Rev D, 2007, 76:051104(R).
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    JAMIN M, PICH A, PORTOLS J. Spectral distribution for the decay τ→ντKπ[J]. Phys Lett B, 2006, 640: 176-181.
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    BOITO D R, ESCRIBANO R, JAMIN M. Kπ vector form factor constrained by τ→Kπντ and Kl3 decays[J]. JHEP, 2010, 1009: 031.
    [10]
    BERNARD V. First determination of f+(0)|Vus| from a combined analysis of τ→Kπντ decay and πK scattering with constraints from Kl3 decays[J]. JHEP, 2014, 1406: 082.
    [11]
    ESCRIBANO R, GONZALEZ-SOLIS S, ROIG P. τ-→K-η(＇)ντ decays in chiral perturbation theory with resonances[J]. JHEP, 2013, 1310: 039.
    [12]
    DEL AMO SANCHEZ P, LEES J P, POIREAU V, et al (BaBar Collaboration). Studies of τ-→ηK- ντ and τ-→ηπ- ντ at BaBar and a search for a second-class current[J]. Phys Rev D, 2011, 83: 032002.
    [13]
    INAMI K, OHSHIMA T, KAJIET H, et al (Belle Collaboration). Precise measurement of hadronic τ-decays with an η meson[J]. Phys Lett B, 2009, 672: 209-218.
    [14]
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    [15]
    BUSKULIC D, DE BONIS I, DECAMP D, et al (ALEPH Collaboration). A study of τ decays involving η and ω mesons[J]. Z Phys C, 1997, 74: 263-273.
    [16]
    PICH A. “Anomalous” η production in τ decay[J]. Phys Lett B, 1987,196: 561-565.
    [17]
    BRAATEN E, OAKES R J, TSE S M. An effective Lagrangian calculation of the semileptonic decay modes of the τ lepton[J]. Int J Mod Phys A, 1990, 5: 2 737-2 753.
    [18]
    LI B A. Theory of τ mesonic decays[J]. Phys Rev D, 1997, 55: 1 436-1 452.
    [19]
    KIMURA D, LEE K Y, MOROZUMI T. The form factors of τ→Kπ(η)ν and the predictions for CP violation beyond the standard model[J]. Prog Theor Exp Phys, 2013, 2013: 053B03.
    [20]
    ACTIS S, ARBUZOV A, BALOSSINI G, et al. Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data[J]. Eur Phys J C, 2010, 66: 585-686.
    [21]
    WEINBERG S. Phenomenological Lagrangians[J]. Physica A, 1979, 96: 327-340.
    [22]
    GASSER J, LEUTWYLER H. Chiral perturbation theory to one loop[J]. Annals Phys, 1984, 158: 142-210.
    [23]
    GASSER J, LEUTWYLER H. Chiral perturbation theory: Expansions in the mass of the strange quark[J]. Nucl Phys B, 1985, 250: 465-516.
    [24]
    ECKER G, GASSER J, PICH A, et al. The role of resonances in chiral perturbation theory[J]. Nucl Phys B, 1989, 321:311-342.
    [25]
    ECKER G, GASSER J, LEUTWYLER H, et al. Chiral Lagrangians for massive spin-1 fields[J]. Phys Lett B, 1989, 223: 425-432.
    [26]
    JAMIN M, OLLER J A, PICH A, S-wave Kπ scattering in chiral perturbation theory with resonances[J]. Nucl Phys B, 2000, 587: 331-362.
    [27]
    JAMIN M, OLLER J A, PICH A. Strangeness changing scalar form-factors[J]. Nucl Phys B, 2002, 622: 279-308.
    [28]
    JAMIN M, OLLER J A, PICH A. Scalar Kπ form factor and light quark masses[J]. Phys Rev D, 2006, 74: 074009.
    [29]
    BERINGER J, ARGUIN J F, BARNETT R M, et al (Particle Data Group). Review of particle physics (RPP) [J]. Phys Rev D, 2012, 86: 010001.
    [30]
    AMHIS Y, BANERJEE Sw, BERNHARD R, et al (Heavy Flavor Averaging Group). Averages of b-hadron, c-hadron, and tau-lepton properties as of early 2012[DB/OL]. arXiv:1207.1158 [hep-ex].
    [31]
    ESCRIBANO R, GALLEGOS A, LUCIO M J L, et al. On the mass, width and coupling constants of the f0(980)[J]. Eur Phys J C, 2003, 28: 107-114.
    [32]
    ESCRIBANO R, GONZLEZ-SOLS S, JAMIN M, et al. Combined analysis of the decays τ-→KSπ-ντ and τ-→K-ηντ[J].JHEP, 2014, 1409: 042.
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    [1]
    BARATE R, DECAMP D, GHEZ P, et al (ALEPH Collaboration). Study of τ decays involving kaons, spectral functions and determination of the strange quark mass[J]. Eur Phys J C, 1999, 11: 599-618.
    [2]
    ABBIENDI G, AINSLEY C, KESSON P F, et al (OPAL Collaboration). Measurement of the strange spectral function in hadronicτdecays[J]. Eur Phys J C, 2004, 35: 437-455.
    [3]
    AUBERT B, BONA M, BOUTIGNY D, et al (BaBar Collaboration). Measurement of the τ-→K-π0ντ branching fraction[J]. Phys Rev D, 2007, 76:051104(R).
    [4]
    EPIFANOV D, ADACHI I, AIHARA H, et al (Belle Collaboration). Study of τ-→KSπ-ντ decay at Belle[J]. Phys Lett B, 2007, 654: 65-73.
    [5]
    JAMIN M, PICH A, PORTOLS J. Spectral distribution for the decay τ→ντKπ[J]. Phys Lett B, 2006, 640: 176-181.
    [6]
    MOUSSALLAM B. Analyticity constraints on the strangeness changing vector current and applications to τ→Kπντ, τ→Kππντ [J]. Eur Phys J C, 2008, 53: 401-412.
    [7]
    JAMIN M, PICH A, PORTOLS J. What can be learned from the Belle spectrum for the decay τ-→ντKSπ-[J]. Phys Lett B, 2008, 664:78-83.
    [8]
    BOITO D R, ESCRIBANO R, JAMIN M. Kπ vector form-factor, dispersive constraints and τ→ντKπ decays[J]. Eur Phys J C, 2009, 59: 821-829.
    [9]
    BOITO D R, ESCRIBANO R, JAMIN M. Kπ vector form factor constrained by τ→Kπντ and Kl3 decays[J]. JHEP, 2010, 1009: 031.
    [10]
    BERNARD V. First determination of f+(0)|Vus| from a combined analysis of τ→Kπντ decay and πK scattering with constraints from Kl3 decays[J]. JHEP, 2014, 1406: 082.
    [11]
    ESCRIBANO R, GONZALEZ-SOLIS S, ROIG P. τ-→K-η(＇)ντ decays in chiral perturbation theory with resonances[J]. JHEP, 2013, 1310: 039.
    [12]
    DEL AMO SANCHEZ P, LEES J P, POIREAU V, et al (BaBar Collaboration). Studies of τ-→ηK- ντ and τ-→ηπ- ντ at BaBar and a search for a second-class current[J]. Phys Rev D, 2011, 83: 032002.
    [13]
    INAMI K, OHSHIMA T, KAJIET H, et al (Belle Collaboration). Precise measurement of hadronic τ-decays with an η meson[J]. Phys Lett B, 2009, 672: 209-218.
    [14]
    BARTELT J, CSORNA S E, JAIN V, et al (CLEO Collaboration). First observation of the decay τ-→K-η ντ [J]. Phys Rev Lett, 1996, 76: 4 119.
    [15]
    BUSKULIC D, DE BONIS I, DECAMP D, et al (ALEPH Collaboration). A study of τ decays involving η and ω mesons[J]. Z Phys C, 1997, 74: 263-273.
    [16]
    PICH A. “Anomalous” η production in τ decay[J]. Phys Lett B, 1987,196: 561-565.
    [17]
    BRAATEN E, OAKES R J, TSE S M. An effective Lagrangian calculation of the semileptonic decay modes of the τ lepton[J]. Int J Mod Phys A, 1990, 5: 2 737-2 753.
    [18]
    LI B A. Theory of τ mesonic decays[J]. Phys Rev D, 1997, 55: 1 436-1 452.
    [19]
    KIMURA D, LEE K Y, MOROZUMI T. The form factors of τ→Kπ(η)ν and the predictions for CP violation beyond the standard model[J]. Prog Theor Exp Phys, 2013, 2013: 053B03.
    [20]
    ACTIS S, ARBUZOV A, BALOSSINI G, et al. Quest for precision in hadronic cross sections at low energy: Monte Carlo tools vs. experimental data[J]. Eur Phys J C, 2010, 66: 585-686.
    [21]
    WEINBERG S. Phenomenological Lagrangians[J]. Physica A, 1979, 96: 327-340.
    [22]
    GASSER J, LEUTWYLER H. Chiral perturbation theory to one loop[J]. Annals Phys, 1984, 158: 142-210.
    [23]
    GASSER J, LEUTWYLER H. Chiral perturbation theory: Expansions in the mass of the strange quark[J]. Nucl Phys B, 1985, 250: 465-516.
    [24]
    ECKER G, GASSER J, PICH A, et al. The role of resonances in chiral perturbation theory[J]. Nucl Phys B, 1989, 321:311-342.
    [25]
    ECKER G, GASSER J, LEUTWYLER H, et al. Chiral Lagrangians for massive spin-1 fields[J]. Phys Lett B, 1989, 223: 425-432.
    [26]
    JAMIN M, OLLER J A, PICH A, S-wave Kπ scattering in chiral perturbation theory with resonances[J]. Nucl Phys B, 2000, 587: 331-362.
    [27]
    JAMIN M, OLLER J A, PICH A. Strangeness changing scalar form-factors[J]. Nucl Phys B, 2002, 622: 279-308.
    [28]
    JAMIN M, OLLER J A, PICH A. Scalar Kπ form factor and light quark masses[J]. Phys Rev D, 2006, 74: 074009.
    [29]
    BERINGER J, ARGUIN J F, BARNETT R M, et al (Particle Data Group). Review of particle physics (RPP) [J]. Phys Rev D, 2012, 86: 010001.
    [30]
    AMHIS Y, BANERJEE Sw, BERNHARD R, et al (Heavy Flavor Averaging Group). Averages of b-hadron, c-hadron, and tau-lepton properties as of early 2012[DB/OL]. arXiv:1207.1158 [hep-ex].
    [31]
    ESCRIBANO R, GALLEGOS A, LUCIO M J L, et al. On the mass, width and coupling constants of the f0(980)[J]. Eur Phys J C, 2003, 28: 107-114.
    [32]
    ESCRIBANO R, GONZLEZ-SOLS S, JAMIN M, et al. Combined analysis of the decays τ-→KSπ-ντ and τ-→K-ηντ[J].JHEP, 2014, 1409: 042.
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