The expansion of the Universe is observed to be accelerating, with the
    simplest solution being a classical cosmological constant. However, this
    receives contributions from the quantum vacuum, which are predicted to be many
    orders of magnitude larger than observations, and suffers from radiative
    instabilities requiring repeated fine tuning. In this paper we present a
    minimal, self tuning scalar field model that can dynamically cancel a large
    quantum vacuum energy, avoiding Weinberg’s No Go Theorem, and produce
    accelerated de Sitter expansion at a lower energy scale as a solution to the
    problem. Our minimal model, which contains a non canonical kinetic energy and a
    linear potential, belongs to the Kinetic Gravity Braiding subclass of Horndeski
    theory which is not observationally excluded, and lies outside of the known Fab
    Four or Well Tempered models. We find analytic solutions in the limits of slow
    roll and fast roll, and numerically solve the equations of motion to illustrate
    our model. We show that the model allows for a matter dominated era, and that
    the attractor solution is stable under a phase transition in the vacuum energy
    density. We also consider the energy scales required to match observations. Our
    model shows the existence of a wider class of successful self tuning models
    than previously assumed.

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