# Gildener-Weinberg Higgs Bosons¶

Jon Butterworth, Ken Lane, David Sperka

A study was performed at the Les Houches workshop 2019, see Confronting Gildener-Weinberg Higgs bosons with LHC measurements in [120] for the model details etc. Essentially the model imposes a relationship between the Higgs masses indicated by the purple line on the mass plot. These were the results at that time:

($$\tan\beta = 0.5$$)

(for points on the purple line in the previous plot). Note the inverted defintion of $$\tan\beta$$ described in the proceedings.

These have now been updated for Contur 2.0.x:

where the measurements added since Les Houches can be seen to have an impact. The final states which contribute can be seen below.

The model is now disfavoured at the one sigma level over most of the region allowed region, for $$\tan\beta = 0.5$$.

The full run 2 dilepton search from ATLAS, not included above, also has some sensitivity at the one sigma level, extending to even lower $$\tan\beta$$ at high masses. However, the dileptons entering the search region are not from a resonance and so the “bump hunt” approach of the search is unreliable. An eventual high luminosity dilepton measurement should however have some impact.

The model files are available in the G-W directory here