Probing the muon <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math> anomaly with the Higgs boson at a muon collider

Abstract

We point out that heavy new physics contributions in leptonic dipole moments and high-energy cross sections of lepton pairs into Higgs bosons and photons are connected model-independently. In particular, we demonstrate that a muon collider, running at center-of-mass energies of several TeV, can provide a unique test of new physics in the muon $g\ensuremath{-}2$ through the study of high-energy processes such as ${\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}\ensuremath{\rightarrow}h\ensuremath{\gamma}$. This high-energy test would be of the utmost importance to shed light on the longstanding muon $g\ensuremath{-}2$ anomaly as it is not affected by the hadronic and experimental uncertainties entering the current low-energy determination of the muon $g\ensuremath{-}2$. Furthermore, we show that the current bound on the muon electric dipole moment can be improved by three orders of magnitude, down to $\mathrm{few}\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}22}\text{ }\text{ }e\text{ }\mathrm{cm}$.

Topics & Concepts