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Naturally Light Distortion

Kazunori Nakayama

Abstract

In the most general formulation of gravity, the metric and connection are independent degrees of freedom, and the connection may include torsion and non-metricity (or distortion, collectively) degrees of freedom, resulting in a huge number of possible dynamical fields. However, the most fields are either non-dynamical or extremely heavy and the general relativity is recovered at low energy. We find a unique naturally light vector- or scalar-like distortion field, which can be dynamical and have phenomenological implications. In particular, a light scalar particle that mixes with the Higgs boson naturally appears.

Naturally Light Distortion

Abstract

In the most general formulation of gravity, the metric and connection are independent degrees of freedom, and the connection may include torsion and non-metricity (or distortion, collectively) degrees of freedom, resulting in a huge number of possible dynamical fields. However, the most fields are either non-dynamical or extremely heavy and the general relativity is recovered at low energy. We find a unique naturally light vector- or scalar-like distortion field, which can be dynamical and have phenomenological implications. In particular, a light scalar particle that mixes with the Higgs boson naturally appears.
Paper Structure (11 sections, 42 equations, 1 figure, 1 table)

This paper contains 11 sections, 42 equations, 1 figure, 1 table.

Table of Contents

  1. Introduction.
  2. Naturally light distortion.
  3. Making distortion dynamical.
  4. Vector distortion.
  5. Scalar distortion.
  6. Summary and discussion.
  7. Connection and distortion
  8. Distortion-matter couplings
  9. Scalar.
  10. Fermion.
  11. Vector.

Figures (1)

  • Figure 1: Constraints on $c_H$ in (\ref{['cH']}) as a function of mass of $\varphi$. The region above the purple line is excluded by the fifth force experiment and the region above the green line is mostly excluded by X-ray observations assuming $\varphi$ is dark matter. We also show the region with $\langle|\varphi|\rangle > M_{\rm Pl}$ for reference.