A new and gauge-invariant littlest Higgs model with T-parity Illana Calero, José Ignacio Pérez Poyatos, José María We would like to thank F. del aguila for his advice and a very fruitful collaboration, and T. Hahn and J. Santiago for ongoing work and helpful discussions. This work was supported in part by the Spanish Ministry of Science, Innovation and Universities (FPA2016-78220-C3, PID2019-107844GBC21/ AEI/10.13039/501100011033), and by Junta de Andalucia (FQM 101, SOMM17/6104/UGR, P18-FR-1962, P18-FR-5057). We inspect the Littlest Higgs model with T-parity, based on a global symmetry SU(5) spontaneously broken to SO(5), in order to elucidate the pathologies it presents due to the non-trivial interplay between the gauge invariance associated to the heavy modes and the discrete T-parity symmetry. In particular, the usual Yukawa Lagrangian responsible for providing masses to the heavy ‘mirror’ fermions is not gauge invariant. This is because it contains an SO(5) quintuplet of right-handed fermions that transforms nonlinearly under SU(5), hence involving in general all SO(5) generators when a gauge transformation is performed and not only those associated to its gauge subgroup. Part of the solution to this problem consists of completing the right-handed fermion quintuplet with T-odd ‘mirror partners’ and a gauge singlet, what has been previously suggested for other purposes. Furthermore, we find that the singlet must be T-even, the global symmetry group must be enlarged, an additional nonlinear sigma field should be introduced to parametrize the spontaneous symmetry breaking and new extra fermionic degrees of freedom are required to give amass to all fermions in an economic way while preserving gauge invariance. Finally, we derive the Coleman–Weinberg potential for the Goldstone fields using the background field method. 2022-01-11T12:20:55Z 2022-01-11T12:20:55Z 2021-12-20 info:eu-repo/semantics/article Illana, J.I., Pérez-Poyatos, J.M. A new and gauge-invariant littlest Higgs model with T-parity. Eur. Phys. J. Plus 137, 42 (2022). [https://doi.org/10.1140/epjp/s13360-021-02222-0] http://hdl.handle.net/10481/72309 10.1140/epjp/s13360-021-02222-0 eng http://creativecommons.org/licenses/by/3.0/es/ info:eu-repo/semantics/openAccess Atribución 3.0 España Springer