On-Shell Electroweak Sector and the Higgs Mechanism

Abstract

We take the first steps towards an entirely on-shell description of the bosonic electroweak sector of the Standard Model. We write down on-shell three particle amplitudes consistent with Poincare' invariance and little group covariance. Tree-level, four particle amplitudes are determined by demanding consistent factorization on all poles and correct UV behaviour. We present expressions for these $2\to 2$ scattering amplitudes using massive spinor helicity variables. We show that on-shell consistency conditions suffice to derive relations between the masses of the $W^{\pm },Z$, the Weinberg angle and the couplings. This provides a completely on-shell description of the Higgs mechanism without any reference to the vacuum expectation value of the Higgs field.

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Cited by in corpus (13)

• Structure of two-loop SMEFT anomalous dimensions via on-shell methods
• Constructing massive on-shell contact terms
• An EFT hunter's guide to two-to-two scattering: HEFT and SMEFT on-shell amplitudes
• On-shell Higgsing for EFTs
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• Higgs Coupling Measurements and the Scale of New Physics
• The Scale of New Physics from the Higgs Couplings to $\gamma \gamma$ and $\gamma Z$
• An on-shell approach to neutrino oscillations
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• Symmetry and Unification from Soft Theorems and Unitarity
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• Massive Gauge Theories from Consistency Conditions of Amplitudes