Phenomenological implications of the new Littlest Higgs model with T-parity

Acknowledgments We would like to thank M. Chala, A. Djouadi, T. Hahn, M. Masip and J. Santiago for very helpful discussions. This work was supported in part by the Spanish Ministry of Science, Innovation and Universities (PID2019-107844GB-C21/AEI/10.13039/501100011033), and by Junta de Andalucía (FQM 101, SOMM17/6104/UGR, P18-FR-5057).We investigate the parameter space of the new Littlest Higgs model with T-parity (NLHT) recently introduced to cure some pathologies of the original LHT. The model requires extra fermion content and additional pseudo-Goldstone bosons. While the heavy top quark sector is similar, there are both T-odd and T-even heavy quarks and leptons with masses proportional to just two sets of Yukawa matrices in flavor space, one more than in the LHT. The new scalars are a singlet and real triplet, T-odd, with masses controlled by gauge and Yukawa couplings, independent of the spontaneous symmetry breaking scale f, and hence potentially light. Imposing that no mass exceeds the cutoff scale, applying current lower bounds on vector-like quarks and assuming a simplified model with mass degenerate heavy fermions compatible with the heavy photon as dark matter constituent, we find that f gets constrained within the interval between 2 and 3TeV, the common Yukawa coupling of heavy leptons gets fixed and the Yukawa coupling of heavy quarks becomes greatly correlated to the top quark Yukawa couplings. The particle spectrum is then bounded from below and above, with the (lightest) heavy photon at about 0.5TeV, not far from the heavy leptons, the new scalars below 1TeV, the usual complex scalar triplet close to the heavy weak bosons at about 1.5 to 2.5TeV, and the heavy quarks and top quark partners between 2 and 5TeV. The new scalars decay predominantly to a standard and a T-odd lepton and have a width comparable to that of the Higgs.Spanish Ministry of Science, Innovation and Universities (PID2019-107844GB-C21/AEI/10.13039/501100011033)Junta de Andalucía (FQM 101, SOMM17/6104/UGR, P18-FR-5057