New limits from lepton flavour violating processes on the Littlest Higgs model with T-parity

Authors

  • Iván Pacheco CINVESTAV
  • Pablo Roig Centro de Investigación y de Estudios Avanzados del Instituto Politécnico Nacional

DOI:

https://doi.org/10.31349/SuplRevMexFis.3.020704

Keywords:

Discrete Symmetries, Beyond Standard Model, Technicolor and Composite Models, LFV Processes

Abstract

We study lepton flavor violation (LFV) within the Littlest Higgs Model with T parity (LHT) realizing an inverse seesaw (ISS) mechanism of type I. In this scenario there appear new $\mathcal{O}$(TeV) Majorana neutrinos, driving LFV. We are analyzing the heavy Majorana neutrinos effects on LFV processes: $\ell \to \ell' \gamma$, $Z \to \bar{\ell}\ell'$, $L \to 3 \ell$ decays and $\mu \to e$ conversion in nuclei but we emphasize Type III decay channel of $L \to 3 \ell$ which are known as "wrong-sign": $\ell \rightarrow \ell' \ell'' \Bar{\ell}'''$ satisfying $\ell \neq \ell' = \ell'' \neq \ell'''$, since these processes vanish in the traditional LHT. First, we get values to $| \theta_{ej} \theta^{\dagger}_{\mu j}|$, $| \theta_{ej} \theta^{\dagger}_{\tau j}|$, and $| \theta_{\mu j} \theta^{\dagger}_{\tau j}|$ through $\ell \to \ell' \gamma$. With aid of these limits for mixing matrices, we can demonstrate that results for branching ratios of wrong sign processes yield within one order of magnitude below present bounds. We do not expect large correlations among the two wrong-sign decay modes. Also, we see that the mean values of heavy Majorana neutrino masses for all LFV processes are quasi-degenerate around 4 TeV.

References

I. Pacheco, and P. Roig, Lepton flavor violation in the Littlest Higgs Model with T parity realizing an inverse seesaw, [arXiv:2110.03711 [hep-ph]].

N. Arkani-Hamed, A. G. Cohen and H. Georgi, (De)Constructing Dimensions, Phys. Rev. Lett. 86 (2001) 4757, https://doi.org/10.1103/PhysRevLett.86.4757

N. Arkani-Hamed, A. G. Cohen, E. Katz and A. E. Nelson, The Littlest Higgs, JHEP 07 (2002) 034, https://iopscience.iop.org/article/10.1088/1126-6708/2002/07/034/meta.

M. Schmaltz, D. Tucker-Smith, Little Higgs Review, Ann. Rev. Nucl. Part. Sci. 55 (2005) 229, https://doi.org/10.1146/annurev.nucl.55.090704.151502

Tao Han, Heather E. Logan, Lian-Tao Wang, Smoking-gun signatures of little Higgs models, JHEP 01 (2006) 099, https://doi.org/10.1088/1126-6708/2006/01/099.

M. Perelstein, Little Higgs Models and Their Phenomenology, Prog. Part. Nucl. Phys. 58 (2007) 247, https://doi.org/10.1016/j.ppnp.2006.04.001

N. Arkani-Hamed, A. G. Cohen and H. Georgi, Electroweak symmetry breaking from dimensional deconstruction, Phys. Lett. B 513 (2001) 232, https://doi.org/10.1016/S0370-2693(01)00741-9.

H. C. Cheng and I. Low, TeV symmetry and the little hierarchy problem, JHEP 09 (2003) 051, https://doi.org/10.1088/1126-6708/2003/09/051.

H. C. Cheng and I. Low, Little hierarchy, little Higgses, and a little symmetry, JHEP 08 (2004) 061. https://doi.org/10.1088/1126-6708/2004/08/061

I. Low, T parity and the littlest Higgs, JHEP 10 (2004) 067. https://doi.org/10.1088/1126-6708/2004/10/067

H. C. Cheng, I. Low and L. T. Wang, Top partners in little Higgs theories with T-parity, Phys. Rev. D 74 (2006) 055001. https://doi.org/10.1103/PhysRevD.74.055001

F. del Aguila, J.I. Illana, and M.D. Jenkins, Precise limits from lepton flavour violating processes on the Littlest Higgs model

with T-parity, JHEP 01 (2009) 080, https://doi.org/10.1088/1126-6708/2009/01/080.

J. Reuter, M. Tonini, and M. de Vries, Littlest Higgs with Tparity: Status and Prospects, JHEP 1402 (2014) 053, https://doi.org/10.1007/JHEP02(2014)053,

J. Hubisz, P. Meade, A. Noble, and M. Perelstein, Electroweak Precision Constraints on the Littlest Higgs Model with T Parity, JHEP 01 (2006) 135, https://doi.org/10.1088/1126-6708/2006/01/135,

J. Hubisz and P. Meade, Phenomenology of the littlest Higgs with T-parity, Phys. Rev. D 71 (2005), 035016. https://doi.org/10.1103/PhysRevD.71.035016

J. Hubisz, S. J. Lee and G. Paz, The Flavor of a little Higgs with T-parity, JHEP 06 (2006) 041. https://doi.org/10.1088/1126-6708/2006/06/041

C. R. Chen, K. Tobe and C. P. Yuan, Higgs boson production and decay in little Higgs models with T-parity, Phys. Lett. B 640 (2006) 263, https://doi.org/10.1016/j.physletb.2006.07.053

M. Blanke, A. J. Buras, A. Poschenrieder, C. Tarantino, S. Uhlig and A. Weiler, Particle-Antiparticle Mixing, epsilon(K), Delta Gamma(q), A**q(SL), A(CP) (B(d) -> psi K(S)), A(CP) (B(s) -> psi phi) and B -> X(s,d gamma) in the Littlest Higgs Model with T-Parity, JHEP 12 (2006), 003. https://doi.org/10.1088/1126-6708/2006/12/003

A. J. Buras, A. Poschenrieder, S. Uhlig and W. A. Bardeen, Rare K and B Decays in the Littlest Higgs Model without T − Parity, JHEP 11 (2006), 062. https://doi.org/10.1088/1126-6708/2006/11/062

A. Belyaev, C. R. Chen, K. Tobe and C. P. Yuan, Phenomenology of littlest Higgs model with T − parity: including effects of T

− odd fermions, Phys. Rev. D 74 (2006) 115020. https://doi.org/10.1103/PhysRevD.74.115020

M. Blanke et al., Rare and CP-Violating K and B Decays in the Littlest Higgs Model with T − Parity,” JHEP 01 (2007), 066 https://doi.org/10.1088/1126-6708/2007/01/066

M. Blanke, A. J. Buras, B. Duling, A. Poschenrieder and C. Tarantino, Charged Lepton Flavour Violation and (g-2)(mu) in the Littlest Higgs Model with T-Parity: A Clear Distinction from Supersymmetry, JHEP 05 (2007) 013. https://doi. org/10.1088/1126-6708/2007/05/013

C. T. Hill and R. J. Hill, T − Parity Violation by Anomalies, Phys. Rev. D 76 (2007), 115014. https://doi.org/10.1103/PhysRevD.76.115014

T. Goto, Y. Okada and Y. Yamamoto, Ultraviolet divergences of flavor changing amplitudes in the littlest Higgs model with

T-parity, Phys. Lett. B 670 (2009), 378-382 https://doi.org/10.1016/j.physletb.2008.11.022

M. Blanke, A. J. Buras, B. Duling, S. Recksiegel and C. Tarantino, FCNC Processes in the Littlest Higgs Model with T-Parity: a 2009 Look, Acta Phys. Polon. B 41 (2010), 657-683.

F. del Aguila, J. I. Illana and M. D. Jenkins, Muon to electron conversion in the Littlest Higgs model with T-parity, JHEP 09 (2010), 040. https://doi.org/10.1007/JHEP09(2010)040

T. Goto, Y. Okada and Y. Yamamoto, Tau and muon lepton flavor violations in the littlest Higgs model with T-parity, Phys. Rev. D 83 (2011), 053011. https://doi.org/10.1103/PhysRevD.83.053011

X. F. Han, L. Wang, J. M. Yang and J. Zhu, Little Higgs theory confronted with the LHC Higgs data, Phys. Rev. D 87 (2013) 055004. https://doi.org/10.1103/PhysRevD.87.055004.

B. Yang, N. Liu and J. Han, Top quark flavor-changing neutralcurrent decay to a 125 GeV Higgs boson in the littlest Higgs model with T parity, Phys. Rev. D 89 (2014) 034020. https://doi.org/10.1103/PhysRevD.89.034020

B. Yang, G. Mi and N. Liu, Higgs couplings and Naturalness in the littlest Higgs model with T-parity at the LHC and TLEP, JHEP 10 (2014) 047. https://doi.org/10.1007/JHEP10(2014)047.

M. Blanke, A. J. Buras and S. Recksiegel, Quark flavour observables in the Littlest Higgs model with T-parity after LHC Run 1, Eur. Phys. J. C 76 (2016) 182. https://doi.org/10.1140/epjc/s10052-016-4019-7

B. Yang, J. Han and N. Liu, Lepton flavor violating Higgs boson decay h → µτ in the littlest Higgs model with T parity, Phys. Rev. D 95 (2017) 035010. https://doi.org/10.1103/PhysRevD.95.035010

F. del Aguila et al., Lepton Flavor Changing Higgs decays in the Littlest Higgs Model with T-parity, JHEP 08 (2017) 028 [erratum: JHEP 02 (2019), 047]. https://doi.org/10.1007/JHEP08(2017)028

D. Dercks, G. Moortgat-Pick, J. Reuter and S. Y. Shim, The fate of the Littlest Higgs Model with T-parity under 13 TeV LHC Data, JHEP 05 (2018) 049. https://doi.org/10.1007/JHEP05(2018)049

F. del Aguila, L. Ametller, J. I. Illana, J. Santiago, P. Talavera and R. Vega-Morales, The full lepton flavor of the littlest Higgs model with T-parity, JHEP 07 (2019) 154. https://doi.org/10.1007/JHEP07(2019)154

F. Del Aguila, J. I. Illana, J. M. Perez-Poyatos and J. Santiago, ´Inverse see-saw neutrino masses in the Littlest Higgs model

with T-parity, JHEP 12 (2019) 154. https://doi.org/10.1007/JHEP12(2019)154

J. I. Illana and J. M. Perez-Poyatos, A new and gauge- invariant Littlest Higgs model with T-parity, [arXiv:2103.17078[hep-ph]]

A. Ilakovac and A. Pilaftsis, Flavor violating charged lepton decays in seesaw-type models, Nucl. Phys. B 437 (1995) 491, https://doi.org/10.1016/0550-3213(94)00567-X.

J. I. Illana and T. Riemann, Charged lepton flavor violation from massive neutrinos in Z decays, Phys. Rev. D 63 (2001) 053004, https://doi.org/10.1103/PhysRevD.63.053004

G. Hernandez-Tome, J. I. Illana, M. Masip, G. Lopez Castro and P. Roig, Effects of heavy Majorana neutrinos on lepton flavor violating processes, Phys. Rev. D 101 (2020) 075020, https://doi.org/10.1103/PhysRevD.101.075020

H. H. Patel, Package-X: A Mathematica package for the analytic calculation of one-loop integrals, Comput. Phys. Commun. 197 (2015) 276, https://doi.org/10.1016/j.cpc.2015.08.017

P. A. Zyla et al., Review of Particle Physics, PTEP 2020 (2020) 083C01. https://doi.org/10.1093/ptep/ptaa104.

A. Abdesselam et al., Search for lepton-flavor-violating tau decays to `γ modes at Belle, JHEP 10 (2021) 019, https://doi.org/10.1007/JHEP10(2021)019.

E. Fernandez-Martinez, J. Hernandez-Garcıa and J. Lopez-Pavon, Global constraints on heavy neutrino mixing, JHEP 08 (2016) 033, https://doi.org/10.1007/JHEP08(2016)033

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Published

2022-03-31

How to Cite

1.
Pacheco I, Roig P. New limits from lepton flavour violating processes on the Littlest Higgs model with T-parity. Supl. Rev. Mex. Fis. [Internet]. 2022 Mar. 31 [cited 2022 Jul. 2];3(2):020704 1-10. Available from: https://rmf.smf.mx/ojs/index.php/rmf-s/article/view/6029