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L→ll′l′νlνL in the SM and beyond

  • 1.

    Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, 01000 México D.F., México

  • 2.

    Departamento de Física, Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional, Apartado Postal 14-740, 07000 México D.F., México

Funds:  Supported by Conacyt, México.
Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2016.05.006
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  • Author Bio:

    FLORES-TLALPA A., PhD. Research field: high energy particle physics. E-mail: alain@fisica.unam.mx

  • Corresponding author: ROIG P.
  • Received Date: 20 December 2015
  • Accepted Date: 20 April 2016
  • Rev Recd Date: 20 April 2016
  • Publish Date: 31 May 2016
    Abstract

  • Abstract

    The L→ll′l′νlνL decays (L=τ,μ; l,l′=μ,e) in the Standard Model (SM) and in the effective field theory (EFT) description of the weak charged current are studied at low energy, both for polarized and unpolarized L, keeping for the first time l,l′ mass dependence. The discrepancy is clarified between two previous SM calculations improving their precision. The recent 35σ anomaly found in τ→eγeντ could be checked using our precise prediction for the τ→eee eντ decays, which shall be measured analysing already existing data from the first generation B-factories. It is shown how measurements of the di-l′ mass distribution (with appropriate cuts) and T-asymmetries are able to reveal the corresponding lepton flavor violating (LFV) processes without neutrinos in the final state.

    Abstract

    The L→ll′l′νlνL decays (L=τ,μ; l,l′=μ,e) in the Standard Model (SM) and in the effective field theory (EFT) description of the weak charged current are studied at low energy, both for polarized and unpolarized L, keeping for the first time l,l′ mass dependence. The discrepancy is clarified between two previous SM calculations improving their precision. The recent 35σ anomaly found in τ→eγeντ could be checked using our precise prediction for the τ→eee eντ decays, which shall be measured analysing already existing data from the first generation B-factories. It is shown how measurements of the di-l′ mass distribution (with appropriate cuts) and T-asymmetries are able to reveal the corresponding lepton flavor violating (LFV) processes without neutrinos in the final state.
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    • References(28)
  • [1]
    MICHEL L. Interaction between four half spin particles and the decay of the μ-meson[J]. Proceedings of the Physical Society A, 1950, 63: 514-531.
    [2]
    BOUCHIAT C, MICHEL L. Theory of μ-meson decay with the hypothesis of nonconservation of parity[J]. Physical Review,1957, 106: 170-172.
    [3]
    KINOSHITA T, SIRLIN A. Muon decay with parity nonconserving interactions and radiative corrections in the two-component theory[J]. Physical Review, 1957, 107: 593-599.
    [4]
    PRATT R H. Time-reversal invariance and radiative muon decay[J]. Phys Rev, 1958, 111: 649-651.
    [5]
    EICHENBERGER W, ENGFER R, VAN DER SCHAAF A. Measurement of the parameter η in the radiative decay of the muon as a test of the V-A structure of the weak interaction[J]. Nuclear Physics A, 1984, 412: 523-533.
    [6]
    FETSCHER W, GERBER H J, JOHNSON K F. Muon decay: Complete determination of the interaction and comparison with the standard model[J]. Physics Letters B, 1986, 173: 102-106.
    [7]
    POCANIC D. New results in rare allowed muon and pion decays[J]. International Journal of Modern Physics: Conference Series, 2014, 35: 1460437.
    [8]
    ABDESSELLAM A, ADACHI I, ADAMCZYK K, et al (Belle Collaboration). Study of Michel parameters in leptonic τ decays at Belle[DB/OL]. arXiv:1409.4969 [hep-ex].
    [9]
    KERSCH A, KRAUS N, ENGFER R. Analysis of the rare allowed muon decay μ+→e+vevμe+e- [J]. Nuclear Physics B, 1988, 485: 606-620.
    [10]
    LEES J P, POIREAU V, TISSERAND V, et al (BaBar Collaboration). Measurement of the branching fractions of the radiative leptonic τ decays τ→eγνv and τ→μγνv at BABAR[J]. Physical Review D, 2015, 91: 051103(R).
    [11]
    FAEL M, MERCOLLI L, PASSERA M. Raditive μ and τ leptonic decays at NLO[J]. Journal of High Energy Physics, 2015, 1507:153 and their contribution to these proceedings.
    [12]
    FLORES-TLALPA A, LPEZ-CASTRO G, ROIG P. Five-body leptonic decays of muon and tau leptons[DB/OL]. arXiv: 1508.01822 [hep-ph].
    [13]
    JADACH S, KHN J H, WAS Z. TAUOLA: A library of Monte Carlo programs to simulate decays of polarized τ leptons[J]. Computer Physics Communications, 1990, 64: 275-299.
    [14]
    JADACH S, WAS Z, DECKER R, et al. The tau decay library TAUOLA: Version 24[J]. Computer Physics Communications, 1993, 76: 361-380.
    [15]
    DIB C, HELO J C, HIRSCH M, et al. Heavy sterile neutrinos in tau decays and the MiniBooNE anomaly[J]. Physical Review D, 2012, 85: 011301(R).
    [16]
    KUMAR R. Covariant phase-space calculations of n-body decay and production processes[J]. Physical Review, 1969, 185: 1 865-1 875.
    [17]
    DICUS D A, VEGA R. Standard model decays of tau into three charged leptons[J]. Physics Letters B, 1994, 338: 341-348.
    [18]
    ALAM M S, KIM I J, LING Z, et al (CLEO Collaboration). Tau decays into three charged leptons and two neutrinos[J]. Physical Review Letters, 1996, 76: 2 637-2 641.
    [19]
    OLIVE K A, AGASHE K, AMSLER C, et al (Particle Data Group). Review of particle physics[J]. Chinese Physics C, 2014, 38: 090001.
    [20]
    LEPAGE G P. A new algorithm for adaptive multidimensional integration[J]. Journal of Computer Physics, 1978, 27: 192-203.
    [21]
    SCHECK F. Muon physics[J]. Physics Reports, 1978, 44: 187-248.
    [22]
    PICH A, SILVA J P. Constraining new interactions with leptonic τ decays[J]. Physical Review D, 1995, 52: 4 006-4 018.
    [23]
    JARLSKOG C. Commutator of the quark mass matrices in the standard electroweak model and a measure of maximal CP Nonconservation [J]. Physical Review Letters, 1985, 55: 1039-1042.
    [24]
    OKADA Y, OKUMURA K I, SHIMIZU Y. μ→eγ and μ→3e processes with polarized muons and supersymmetric grand unified theories[J]. Physical Review D, 2000, 61: 094001.
    [25]
    KITANO R, OKADA Y. P and T odd asymmetries in lepton flavor violating tau decays[J]. Physical Review D, 2001, 63: 113003.
    [26]
    CELIS A, CIRIGLIANO V, PASSEMAR E. Model-discriminating power of lepton flavor violating τ decays[J]. Physical Review D, 2014, 89: 095014.
    [27]
    AMHIS Y, BANERJEE Sw, BEN-HAIM E, et al (Heavy Flavor Averaging Group (HFAG) Collaboration). Averages of b-hadron, c-hadron, and τ-lepton properties as of summer 2014[DB/OL]. arXiv:1412.7515 [hep-ex].
    [28]
    HAYASAKA K, INAMI K, MIYAZAKI Y, et al. Search for lepton flavor violating τ decays into three leptons with 719 million produced τ+τ- pairs[J]. Physics Letters B, 2010, 687: 139-143.
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    [1]
    MICHEL L. Interaction between four half spin particles and the decay of the μ-meson[J]. Proceedings of the Physical Society A, 1950, 63: 514-531.
    [2]
    BOUCHIAT C, MICHEL L. Theory of μ-meson decay with the hypothesis of nonconservation of parity[J]. Physical Review,1957, 106: 170-172.
    [3]
    KINOSHITA T, SIRLIN A. Muon decay with parity nonconserving interactions and radiative corrections in the two-component theory[J]. Physical Review, 1957, 107: 593-599.
    [4]
    PRATT R H. Time-reversal invariance and radiative muon decay[J]. Phys Rev, 1958, 111: 649-651.
    [5]
    EICHENBERGER W, ENGFER R, VAN DER SCHAAF A. Measurement of the parameter η in the radiative decay of the muon as a test of the V-A structure of the weak interaction[J]. Nuclear Physics A, 1984, 412: 523-533.
    [6]
    FETSCHER W, GERBER H J, JOHNSON K F. Muon decay: Complete determination of the interaction and comparison with the standard model[J]. Physics Letters B, 1986, 173: 102-106.
    [7]
    POCANIC D. New results in rare allowed muon and pion decays[J]. International Journal of Modern Physics: Conference Series, 2014, 35: 1460437.
    [8]
    ABDESSELLAM A, ADACHI I, ADAMCZYK K, et al (Belle Collaboration). Study of Michel parameters in leptonic τ decays at Belle[DB/OL]. arXiv:1409.4969 [hep-ex].
    [9]
    KERSCH A, KRAUS N, ENGFER R. Analysis of the rare allowed muon decay μ+→e+vevμe+e- [J]. Nuclear Physics B, 1988, 485: 606-620.
    [10]
    LEES J P, POIREAU V, TISSERAND V, et al (BaBar Collaboration). Measurement of the branching fractions of the radiative leptonic τ decays τ→eγνv and τ→μγνv at BABAR[J]. Physical Review D, 2015, 91: 051103(R).
    [11]
    FAEL M, MERCOLLI L, PASSERA M. Raditive μ and τ leptonic decays at NLO[J]. Journal of High Energy Physics, 2015, 1507:153 and their contribution to these proceedings.
    [12]
    FLORES-TLALPA A, LPEZ-CASTRO G, ROIG P. Five-body leptonic decays of muon and tau leptons[DB/OL]. arXiv: 1508.01822 [hep-ph].
    [13]
    JADACH S, KHN J H, WAS Z. TAUOLA: A library of Monte Carlo programs to simulate decays of polarized τ leptons[J]. Computer Physics Communications, 1990, 64: 275-299.
    [14]
    JADACH S, WAS Z, DECKER R, et al. The tau decay library TAUOLA: Version 24[J]. Computer Physics Communications, 1993, 76: 361-380.
    [15]
    DIB C, HELO J C, HIRSCH M, et al. Heavy sterile neutrinos in tau decays and the MiniBooNE anomaly[J]. Physical Review D, 2012, 85: 011301(R).
    [16]
    KUMAR R. Covariant phase-space calculations of n-body decay and production processes[J]. Physical Review, 1969, 185: 1 865-1 875.
    [17]
    DICUS D A, VEGA R. Standard model decays of tau into three charged leptons[J]. Physics Letters B, 1994, 338: 341-348.
    [18]
    ALAM M S, KIM I J, LING Z, et al (CLEO Collaboration). Tau decays into three charged leptons and two neutrinos[J]. Physical Review Letters, 1996, 76: 2 637-2 641.
    [19]
    OLIVE K A, AGASHE K, AMSLER C, et al (Particle Data Group). Review of particle physics[J]. Chinese Physics C, 2014, 38: 090001.
    [20]
    LEPAGE G P. A new algorithm for adaptive multidimensional integration[J]. Journal of Computer Physics, 1978, 27: 192-203.
    [21]
    SCHECK F. Muon physics[J]. Physics Reports, 1978, 44: 187-248.
    [22]
    PICH A, SILVA J P. Constraining new interactions with leptonic τ decays[J]. Physical Review D, 1995, 52: 4 006-4 018.
    [23]
    JARLSKOG C. Commutator of the quark mass matrices in the standard electroweak model and a measure of maximal CP Nonconservation [J]. Physical Review Letters, 1985, 55: 1039-1042.
    [24]
    OKADA Y, OKUMURA K I, SHIMIZU Y. μ→eγ and μ→3e processes with polarized muons and supersymmetric grand unified theories[J]. Physical Review D, 2000, 61: 094001.
    [25]
    KITANO R, OKADA Y. P and T odd asymmetries in lepton flavor violating tau decays[J]. Physical Review D, 2001, 63: 113003.
    [26]
    CELIS A, CIRIGLIANO V, PASSEMAR E. Model-discriminating power of lepton flavor violating τ decays[J]. Physical Review D, 2014, 89: 095014.
    [27]
    AMHIS Y, BANERJEE Sw, BEN-HAIM E, et al (Heavy Flavor Averaging Group (HFAG) Collaboration). Averages of b-hadron, c-hadron, and τ-lepton properties as of summer 2014[DB/OL]. arXiv:1412.7515 [hep-ex].
    [28]
    HAYASAKA K, INAMI K, MIYAZAKI Y, et al. Search for lepton flavor violating τ decays into three leptons with 719 million produced τ+τ- pairs[J]. Physics Letters B, 2010, 687: 139-143.
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