Abstract
The 125 GeV boson is quite consistent with the Higgs boson of the Standard Model (SM), but there is a challenge from Anderson as to whether this particle is in the Lagrangian. As Large Hadron Collider (LHC) Run 2 enters its final year of running, we ought to reflect and make sure we have gotten everything right. The ATLAS and CMS combined Run 1 analysis claimed a measurement of 5.4σ vector boson fusion (VBF) production which is consistent with SM, which seemingly refutes Anderson. However, to verify the source of electroweak symmetry breaking (EWSB), we caution that VBF measurement is too important for us to be imprudent in any way, and gluon–gluon fusion (ggF) with similar tag jets must be simultaneous measured, which should be achievable in LHC Run 2. The point is to truly test the dilaton possibility—the pseudo-Goldstone boson of scale invariance violation. We illustrate EWSB by dynamical mass generation of a sequential quark doublet (Q) via its ultrastrong Yukawa coupling and argue how this might be consistent with a 125 GeV dilaton, D. The ultraheavy 2mQ≳4–5 TeV scale explains the absence of New Physics so far, while the mass generation mechanism shields us from the UV theory for the strong Yukawa coupling. Collider and flavor physics implications are briefly touched upon. Current Run 2 analyses show correlations between the ggF and VBF measurements, but the newly observed tt¯H production at LHC poses a challenge.
Highlights
The 125 GeV boson is quite consistent with the Higgs boson of the Standard Model (SM), but there is a challenge from Anderson as to whether this particle is in the Lagrangian
The ATLAS and CMS combined Run 1 analysis claimed a measurement of 5.4σ vector boson fusion (VBF) production which is consistent with SM, which seemingly refutes
To verify the source of electroweak symmetry breaking (EWSB), we caution that VBF measurement is too important for us to be imprudent in any way, and gluon–gluon fusion with similar tag jets must be simultaneous measured, which should be achievable in Large Hadron Collider (LHC) Run
Summary
We first note that the Run 1 VBF measurements by ATLAS and CMS are not individually significant yet, as the cross section of the leading ggF process in SM is „1/12. The combined analysis of LHC Run 1 data by ATLAS and CMS which claimed the 5.4σ measurement of the VBF process has some weaknesses. With ggF production being the leading process, one needs to explore analysis methods to simultaneously measure both VBF and ggF production with similar tag jets, methods that require statistical power to achieve the separation. The separation power between VBF and ggF+jj will improve and eventually lead to a systematic error on VBF that is lower than the one provided by the current subtraction method. C g Á 3, compensated by v{ f „ 1/3 with appropriate cγ gives μ ZZ „ 1 and μγγ Á 1
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