\begin{document}$ \tau^+\rightarrow \ell^-P_i^{+}P_j^{+} $\end{document}, where \begin{document}$ \ell = e,\; \mu $\end{document} and \begin{document}$ P^+_{i,j} $\end{document} denote the lowest-lying charged pseudoscalars \begin{document}$ \pi^+,\; K^+ $\end{document}. We analyze the dominant contributions in a series of EFTs from high to low energy scales, namely the standard model EFT (SMEFT), the low-energy EFT (LEFT), and the chiral perturbation theory (\begin{document}$ \chi{{\rm{PT}}} $\end{document}). The decay branching ratios are expressed in terms of the Wilson coefficients of dimension-five and -seven operators in SMEFT and the hadronic low-energy constants. These Wilson coefficients involve the first and second generations of quarks and all generations of leptons; thus, they cannot be explored in low-energy processes such as nuclear neutrinoless double beta decay or LNV kaon decays. Unfortunately, the current experimental upper bounds on the branching ratios are too weak to set useful constraints on these coefficients. Alternatively, if we assume the new physics scale is larger than 1 TeV, the branching ratios are well below the current experimental bounds. We also estimate the hadronic uncertainties incurred in applying \begin{document}$ \chi{{\rm{PT}}} $\end{document} to \begin{document}$ \tau $\end{document} decays by computing one-loop chiral logarithms and attempt to improve the convergence of chiral perturbation by employing dispersion relations in the short-distance part of the decay amplitudes."> Effective field theory approach to lepton number violating <i>τ</i> decays -
  • [1]

    A. Gandoet al. [KamLAND-Zen], Phys. Rev. Lett.117, 082503 (2016), arXiv:1605.02889[hep-ex

  • [2]

    J. J. Gomez-Cadenas, [arXiv: 1906.01743[hep-ex]]

  • [3]

    M. Agostiniet al. [GERDA], Phys. Rev. Lett.120, 132503 (2018), arXiv:1803.11100[nucl-ex

  • [4]

    R. Aaijet al. [LHCb Collaboration], Phys. Rev. D85, 112004 (2012), arXiv:1201.5600[hep-ex

  • [5]

    R. Aaijet al. [LHCb Collaboration], Phys. Rev. Lett.108, 101601 (2012), arXiv:1110.0730[hep-ex

  • [6]

    R. Aaijet al. [LHCb Collaboration], Phys. Lett. B724, 203 (2013), arXiv:1304.6365[hep-ex

  • [7]

    R. Aaijet al. [LHCb Collaboration], Phys. Rev. Lett.112, 131802 (2014), arXiv:1401.5361[hep-ex

  • [8]

    J. P. Leeset al. [BaBar Collaboration], Phys. Rev. D84, 072006 (2011), arXiv:1107.4465[hep-ex

  • [9]

    J. P. Leeset al. [BaBar Collaboration], Phys. Rev. D85, 071103 (2012), arXiv:1202.3650[hep-ex

  • [10]

    J. P. Leeset al. [BaBar Collaboration], Phys. Rev. D89, 011102 (2014), arXiv:1310.8238[hep-ex

  • [11]

    O. Seonet al. [BELLE Collaboration], Phys. Rev. D84, 071106 (2011), arXiv:1107.0642[hep-ex

  • [12]

    Y. Miyazakiet al. [Belle Collaboration], Phys. Lett. B719, 346 (2013), arXiv:1206.5595[hep-ex

  • [13]

    P. Rubinet al. [CLEO Collaboration], Phys. Rev. D82, 092007 (2010), arXiv:1009.1606[hep-ex

  • [14]

    Y. Amhiset al. [HFLAV Collaboration], Eur. Phys. J. C77, 895 (2017), arXiv:1612.07233[hep-ex

  • [15]

    E. Cortina Gilet al. [NA62 Collaboration], arXiv: 1905.07770[hep-ex]

  • [16]

    R. Appelet al., Phys. Rev. Lett.85, 2877 (2000), arXiv:hep-ex/0006003

  • [17]

    K. Kodamaet al. [E653 Collaboration], Phys. Lett. B345, 85 (1995)

  • [18]

    E. J. Chun, A. Das, S. Mandalet al., Phys. Rev. D100, 095022 (2019), arXiv:1908.09562[hep-ph

  • [19]

    D. Rodríguez Perez [Belle-II], [arXiv: 1906.08950[hep-ex]]

  • [20]

    Y. Liao, X. D. Ma, and H. L. Wang, JHEP2001, 127 (2020), arXiv:1909.06272[hep-ph

  • [21]

    Y. Liao, X. D. Ma, and H. L. Wang, JHEP2003, 120 (2020), arXiv:2001.07378[hep-ph

  • [22]

    S. Weinberg, Phys. Rev. Lett.43, 1566 (1979)

  • [23]

    W. Buchmuller and D. Wyler, Nucl. Phys. B268, 621 (1986)

  • [24]

    B. Grzadkowski, M. Iskrzynski, M. Misiaket al., JHEP1010, 085 (2010), arXiv:1008.4884[hep-ph

  • [25]

    L. Lehman, Phys. Rev. D90, 125023 (2014), arXiv:1410.4193[hep-ph

  • [26]

    Y. Liao and X. D. Ma, JHEP1611, 043 (2016), arXiv:1607.07309[hep-ph

  • [27]

    A. de Gouvea and J. Jenkins, Phys. Rev. D77, 013008 (2008), arXiv:0708.1344[hep-ph

  • [28]

    E. E. Jenkins, A. V. Manohar, and P. Stoffer, JHEP1803, 016 (2018), arXiv:1709.04486[hep-ph

  • [29]

    Y. Liao, X. D. Ma, and Q. Y. Wang, JHEP2008, 162 (2020), arXiv:2005.08013[hep-ph

  • [30]

    J. Gasser and H. Leutwyler, Annals Phys.158, 142 (1984)

  • [31]

    J. Gasser and H. Leutwyler, Nucl. Phys. B250, 465 (1985)

  • [32]

    M. L. Graesser, JHEP1708, 099 (2017), arXiv:1606.04549[hep-ph

  • [33]

    S. R. Coleman, J. Wess, and B. Zumino, Phys. Rev.177, 2239-2247 (1969)

  • [34]

    C. G. Callan, J r., S. R. Coleman, J. Wess and B. Zumino, Phys. Rev.177, 2247-2250 (1969)

  • [35]

    O. Cata and V. Mateu, JHEP0709, 078 (2007), arXiv:0705.2948[hep-ph

  • [36]

    V. Cirigliano, W. Dekens, J. de Vrieset al., JHEP1712, 082 (2017), arXiv:1708.09390[hep-ph

  • [37]

    J. T. Daub, H. K. Dreiner, C. Hanhartet al., JHEP1301, 179 (2013), arXiv:1212.4408[hep-ph

  • [38]

    J. Rendón, P. Roig, and G. Toledo Sánchez, Phys. Rev. D99, 093005 (2019), arXiv:1902.08143[hep-ph

  • [39]

    V. Cirigliano, A. Crivellin, and M. Hoferichter, Phys. Rev. Lett.120, 141803 (2018), arXiv:1712.06595[hepph

  • [40]

    J. A. Miranda and P. Roig, JHEP1811, 038 (2018), arXiv:1806.09547[hep-ph

  • [41]

    E. A. Garcés, M. Hernández Villanueva, G. López Castroet al., JHEP1712, 027 (2017), arXiv:1708.07802[hep-ph

  • [42]

    A. Celis, V. Cirigliano, and E. Passemar, Phys. Rev. D89, 013008 (2014), arXiv:1309.3564[hep-ph

  • [43]

    K. M. Watson, Phys. Rev.95, 228-236 (1954)

  • [44]

    R. Omnes, Nuovo Cim.8, 316-326 (1958)

  • [45]

    M. J. Losty, V. Chaloupka, A. Ferrandoet al., Nucl. Phys. B69, 185-204 (1974)

  • [46]

    W. Hoogland, S. Peters, G. Grayeret al., Nucl. Phys. B126, 109-123 (1977)

  • [47]

    S. Descotes-Genon and B. Moussallam, Eur. Phys. J. C74, 2946 (2014), arXiv:1404.0251[hep-ph

  • [48]

    A. Rodas and J. R. Peláez, PoS CD2018, 081 (2019)

  • [49]

    P. A. Zylaet al. [Particle Data Group], PTEP2020(8), 083C01 (2020)

  • [50]

    B. Fuks, J. Neundorf, K. Peterset al., [arXiv: 2012.09882[hep-ph]]

Baidu
map