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It has recently been suggested that tuning toward the boundary of the positivity domain of the scalar potential may explain the separation between the electroweak scale and the unification scale in a grand unified theory. Here, we explore the possibility that the same type of tuning might account for the generation of the electroweak scale from a much lighter dynamically generated scale in a dark sector. We present a model that realizes this idea and provides a proof of principle that the same dark sector can include a viable dark matter candidate.more » « lessFree, publicly-accessible full text available February 1, 2026
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Carone, Christopher D; Donald, Noah L (, Classical and Quantum Gravity)We propose an ansatz for encoding the physics of nonlocal spacetime defects in the Green’s functions for a scalar field theory defined on a causal set. This allows us to numerically study the effects of nonlocal spacetime defects on the discrete Feynman propagator of the theory defined on the causal set in 1+1 dimensions, and to compare to the defect-free limit. The latter approaches the expected continuum result, on average, when the number of points becomes large. When defects are present, two points with the same invariant spacetime interval can have different propagation amplitudes, depending on whether the propagation is between two ordinary spacetime points, two defects, or a defect and an ordinary point. We show that a coarse-grained description that is only sensitive to the average effect of the defects can be interpreted as a defect-induced mass and wave-function renormalization of the scalar theory.more » « less
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Boos, Jens; Carone, Christopher D.; Donald, Noah L.; Musser, Mikkie R. (, Physical Review D)
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Boos, Jens; Carone, Christopher D.; Donald, Noah L.; Musser, Mikkie R. (, Physical Review D)
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