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arXiv · 1705.04701

Nonrelativistic Yang-Mills Theory for a Naturally Light Higgs Boson

Laure Berthier·Kevin T. Grosvenor·Ziqi Yan
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Abstract

We continue the study of the nonrelativistic short-distance completions of a naturally light Higgs, focusing on the interplay between the gauge symmetries and the polynomial shift symmetries. We investigate the naturalness of nonrelativistic scalar quantum electrodynamics with a dynamical critical exponent $z=3$ by computing leading power law divergences to the scalar propagator in this theory. We find that power law divergences exhibit a more refined structure in theories that lack boost symmetries. Finally, in this toy model, we show that it is possible to preserve a fairly large hierarchy between the scalar mass and the high energy naturalness scale across 7 orders of magnitude, while accommodating a gauge coupling of order 0.1.

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Laure Berthier, Kevin T. Grosvenor, Ziqi Yan. 2017-05-12. Nonrelativistic Yang-Mills Theory for a Naturally Light Higgs Boson. https://doi.org/10.1103/physrevd.96.095030

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