The RG-improved Twin Higgs effective potential at NNLL

Sep 19, 2016
30 pages
Published in:
  • JHEP 11 (2016) 108
  • Published: Nov 18, 2016
e-Print:

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Abstract: (Springer)
We present the Renormalization Group improvement of the Twin Higgs effective potential at cubic order in logarithmic accuracy. We first introduce a model-independent low-energy effective Lagrangian that captures both the pseudo-Nambu-Goldstone boson nature of the Higgs field and the twin light degrees of freedom charged under a copy of the Standard Model. We then apply the background field method to systematically re-sum all the one loop diagrams contributing to the potential. We show how this technique can be efficient to implicitly renormalize the higher-dimensional operators in the twin sector without classifying all of them. A prediction for the Higgs mass in the Twin Higgs model is derived and found to be of the order of MH_{H} ∼ 120 GeV with an ultraviolet cut-off m_{*} ∼ 10–20 TeV. Irrespective of any possible ultraviolet completion of the low-energy Lagrangian, the infrared degrees of freedom alone are therefore enough to account for the observed value of the Higgs mass through running effects.
Note:
  • 28 pages, 6 figures
  • Renormalization Group
  • Beyond Standard Model
  • Effective field theories
  • Spontaneous Symmetry Breaking
  • effective potential: Higgs
  • Higgs particle: mass
  • operator: higher-dimensional
  • higher-order: 2
  • energy: low
  • renormalization group