Journal of High Energy Physics

, 2019:208 | Cite as

Perturbativity constraints on U(1)BL and left-right models and implications for heavy gauge boson searches

  • Garv Chauhan
  • P. S. Bhupal Dev
  • Rabindra N. Mohapatra
  • Yongchao ZhangEmail author
Open Access
Regular Article - Theoretical Physics


We derive perturbativity constraints on beyond standard model scenarios with extra gauge groups, such as SU(2) or U(1), whose generators contribute to the electric charge, and show that there are both upper and lower limits on the additional gauge couplings, from the requirement that the couplings remain perturbative up to the grand unification theory (GUT) scale. This leads to stringent constraints on the masses of the corresponding gauge bosons and their collider phenomenology. We specifically focus on the models based on \( SU{(2)}_L \times U{(1)}_{I_{3R}} \times U{(1)}_{B-L} \) and the left-right symmetric models based on SU(2)L × SU(2)R × U(1)B − L, and discuss the implications of the perturbativity constraints for new gauge boson searches at current and future colliders. In particular, we find that the stringent flavor constraints in the scalar sector of left-right model set a lower bound on the right-handed scale vR ≳ 10 TeV, if all the gauge and quartic couplings are to remain perturbative up to the GUT scale. This precludes the prospects of finding the ZR boson in the left-right model at the LHC, even in the high-luminosity phase, and leaves only a narrow window for the WR boson. A much broader allowed parameter space, with the right-handed scale vR up to ≃ 87 TeV, could be probed at the future 100 TeV collider.


Beyond Standard Model Neutrino Physics 


Open Access

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Copyright information

© The Author(s) 2019

Authors and Affiliations

  • Garv Chauhan
    • 1
  • P. S. Bhupal Dev
    • 1
  • Rabindra N. Mohapatra
    • 2
  • Yongchao Zhang
    • 1
    • 3
    Email author
  1. 1.Department of Physics and McDonnell Center for the Space SciencesWashington UniversitySt. LouisU.S.A.
  2. 2.Maryland Center for Fundamental Physics, Department of PhysicsUniversity of MarylandCollege ParkU.S.A.
  3. 3.Center for High Energy PhysicsPeking UniversityBeijingChina

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