Constraining the $g_1^{\prime }$ coupling in the minimal $B-L$ Model

Abstract

We have combined the perturbative unitarity and the renormalisation group equations arguments in order to find a dynamical way to constrain the $g_1^{\prime }$ coupling of the minimal $B-L$ extension of the Standard Model. We have analysed the role of the $g_1^{\prime }$ coupling evolution in the perturbative stability of the two-to-two body scattering amplitudes of the vector boson and scalar sectors of the model and we have shown that the perturbative unitarity imposes an upper bound on the $B-L$ gauge coupling. We have made a comparison between this criterion and the triviality arguments, showing that our procedure substantially refines the triviality bounds.

9 pages, 1 figure, 1 table; corrected typos, corrected formulae, changed figure, added text, results are unchanged

References in corpus (11)

• The Minimal Set of Electroweak Precision Parameters
• Low scale B-L extension of the Standard Model at the LHC
• Towards the Identification of New Physics through Quark Flavour Violating Processes
• Signatures for right-handed neutrinos at the Large Hadron Collider
• A Renormalisation Group Equation Study of the Scalar Sector of the Minimal B-L Extension of the Standard Model
• TeV Scale Gauged B-L With Inverse Seesaw Mechanism
• Phenomenology of the minimal $B-L$ extension of the Standard Model: the Higgs sector
• $Z^{\prime }$ discovery potential at the LHC in the minimal $B-L$ extension of the Standard Model
• Tree Level Unitarity Bounds for the Minimal B-L Model
• The Higgs sector of the minimal B-L model at future Linear Colliders
• Higgs phenomenology in the minimal $B-L$ extension of the Standard Model at LHC

Cited by in corpus (11)

• Novel SM-like Higgs decay into displaced heavy neutrino pairs in U(1)' models
• Extra Higgs Boson and $Z^{\prime }$ as Portals to Signatures of Heavy Neutrinos at the LHC
• Constraints on Abelian Extensions of the Standard Model from Two-Loop Vacuum Stability and $U(1{)}_{B-L}$
• $Z^{\prime }$, Higgses and heavy neutrinos in $U(1{)}^{\prime }$ models: from the LHC to the GUT scale
• Displaced vertex signature of type-I seesaw
• Phenomenology of the minimal B-L extension of the Standard Model at the LHC
• Probing the electromagnetic dipole moments of the tau-neutrino in the $U(1{)}_{B-L}$ model at the ILC and CLIC energies
• Higgs bosons production and decay at future $e^{+}{e}^{-}$ linear colliders as a probe of the B-L model
• An extra Z' gauge boson as a source of Higgs particles
• What can a heavy $U(1{)}_{\mathrm{B}-\mathrm{L}}$ $Z^{\prime }$ boson do to the muon $(g-2{)}_{\mu }$ anomaly and to a new Higgs boson mass?
• Phenomenological study of $Z^{\prime }$ in the minimal $B-L$ model at LHC