Abstract
We describe recent work on the physics of the Higgs boson and breaking of the electroweak symmetry at future muon colliders. Starting from the low-energy muon collider at the Higgs boson pole we extend our discussion to the multi-TeV muon collider and outline the physics case for such machines about the properties of the Higgs boson and physics beyond the Standard Model that can be possibly discovered.
Highlights
The opportunities offered by the realization of muonic beams have been realized long ago and the interest for this idea has been high for decades [1,2,3,4,5]
The Higgs boson is a cornerstone of the Standard Model of particle physics, as it provides a concrete realization of the mechanism of spontaneous symmetry breaking needed to separate electromagnetic and weak gauge interactions
The Higgs boson mass and its properties have a remarkable sensitivity to the existence of new heavy states, whose mass acts as a source of destabilization of the weak scale
Summary
The opportunities offered by the realization of muonic beams have been realized long ago and the interest for this idea has been high for decades [1,2,3,4,5]. [11,12] It follows that a μ+μ− collider can essentially explore all the same physics that is accessible at an e+e− collider of the same energy, but differently from the past, the time for a jump towards a future muon collider may be ripe, as the possibilities for other more conventional types of colliders are shrinking and we are forced to think about bold and innovative new types of machines. The Higgs boson discovery at the LHC in 2012 [13,14] has opened a new era of particle physics and its properties absolutely need to be analyzed with great precision and fully understood. Within the SM itself, all the couplings are uniquely determined, but possible new physics beyond the SM will modify these couplings in different ways, as the Higgs, for example, could be the portal to other gauge sectors. The MC is a possible option for the generation of high-energy collider machines, as it would allow achieving the highest energy frontier in lepton collisions, because muons do not suffer significant energy losses due to synchrotron radiation and could be accelerated up to multi-TeV collision energies
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