Scale-independent mixing angles

Abstract

A radiatively-corrected mixing angle has to be independent of the choice of renormalization scale to be a physical observable. At one-loop in MS-bar, this only occurs for a particular value, p*, of the external momentum in the two-point functions used to define the mixing angle: p*^2=(M1^2+M2^2)/2, where M1, M2 are the physical masses of the two mixed particles. We examine two important applications of this to the Minimal Supersymmetric Standard Model: the mixing angle for a) neutral Higgs bosons and b) stops. We find that this choice of external momentum improves the scale independence (and therefore provides a more reliable determination) of these mixing angles.

14 pages, 11 ps figures Version to appear in PRD

References in corpus (2)

• Radiative Corrections to the Higgs Boson Mass for a Hierarchical Stop Spectrum
• Gauge dependence of the on-shell renormalized mixing matrices

Cited by in corpus (9)

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• Heavy to light Higgs boson decays at NLO in the Singlet Extension of the Standard Model
• Measurements of the SUSY Higgs self-couplings and the reconstruction of the Higgs potential
• NLO electroweak corrections in extended Higgs Sectors with RECOLA2
• Scale- and gauge-independent mixing angles for scalar particles
• Gauge-independent Renormalization of the N2HDM
• Electroweak corrections in the 2HDM for neutral scalar Higgs-boson production through gluon fusion