https://doi.org/10.1140/epjc/s10052-018-5589-3
Regular Article - Theoretical Physics
Exact one-loop results for
in 3-3-1 models
1
Institute for Research and Development, Duy Tan University, Da Nang, 550000, Vietnam
2
Institute of Physics, Vietnam Academy of Science and Technology, 10 Dao Tan, Ba Dinh, Hanoi, 100000, Vietnam
3
Institute For Interdisciplinary Research in Science and Education, ICISE, Ghenh Rang, Quy Nhon, 590000, Vietnam
4
Institut für Physik, Humboldt-Universität zu Berlin, Newtonstrasse 15, 12489, Berlin, Germany
5
Department of Education and Training of Ca Mau, 70 Phan Dinh Phung, Ca Mau, 970000, Vietnam
6
Dipartimento di Fisica, Theoretical section, Università di Trieste, Strada Costiera 11, 34151, Trieste, Italy
7
International Center for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy
* e-mail: ldninh@ifirse.icise.vn
Received:
8
September
2017
Accepted:
23
January
2018
Published online:
14
February
2018
We investigate the decays , with
in a general class of 3-3-1 models with heavy exotic leptons with arbitrary electric charges. We present full and exact analytical results keeping external lepton masses. As a by product, we perform numerical comparisons between exact results and approximate ones where the external lepton masses are neglected. As expected, we found that branching fractions can reach the current experimental limits if mixings and mass differences of the exotic leptons are large enough. We also found unexpectedly that, depending on the parameter values, there can be huge destructive interference between the gauge and Higgs contributions when the gauge bosons connecting the Standard Model leptons to the exotic leptons are light enough. This mechanism should be taken into account when using experimental constraints on the branching fractions to exclude the parameter space of the model.
© The Author(s), 2018