The physics case of a 3 TeV muon collider stage

Kavli Affiliate: Gordan Krnjaic

| First 5 Authors: Jorge De Blas, Dario Buttazzo, Rodolfo Capdevilla, David Curtin, Roberto Franceschini

| Summary:

In the path towards a muon collider with center of mass energy of 10 TeV or
more, a stage at 3 TeV emerges as an appealing option. Reviewing the physics
potential of such muon collider is the main purpose of this document. In order
to outline the progression of the physics performances across the stages, a few
sensitivity projections for higher energy are also presented. There are many
opportunities for probing new physics at a 3 TeV muon collider. Some of them
are in common with the extensively documented physics case of the CLIC 3 TeV
energy stage, and include measuring the Higgs trilinear coupling and testing
the possible composite nature of the Higgs boson and of the top quark at the 20
TeV scale. Other opportunities are unique of a 3 TeV muon collider, and stem
from the fact that muons are collided rather than electrons. This is
exemplified by studying the potential to explore the microscopic origin of the
current $g$-2 and $B$-physics anomalies, which are both related with muons.

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