Why should we care about the top quark Yukawa coupling?

Abstract

In the cosmological context, for the Standard Model to be valid up to the scale of inflation, the top quark Yukawa coupling $y_t$ should not exceed the critical value $y_t^{crit}$, coinciding with good precision (about 0.02%) with the requirement of the stability of the electroweak vacuum. So, the exact measurements of $y_t$ may give an insight on the possible existence and the energy scale of new physics above 100 GeV, which is extremely sensitive to $y_t$. We overview the most recent theoretical computations of $y_t^{crit}$ and the experimental measurements of $y_t$. Within the theoretical and experimental uncertainties in $y_t$ the required scale of new physics varies from $10^7$ GeV to the Planck scale, urging for precise determination of the top quark Yukawa coupling.

9 pages, 8 figures. The journal version in JETP special issue. Some discussion is improved, references added, and (here we reluctantly followed the editorial request) the abstract is expanded

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• The Standard Model Higgs boson as the inflaton
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• On the gauge dependence of the Standard Model vacuum instability scale
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• Determination of the top quark mass from leptonic observables
• Removing the gauge parameter dependence of the effective potential by a field redefinition
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• Planck Scale Physics, Gravi-Weak Unification and the Higgs Inflation
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