Symmergent Gravity, Seesawic New Physics, and their Experimental Signatures

Abstract

The standard model of elementary particles (SM) suffers from various problems, such as power-law ultraviolet (UV) sensitivity, exclusion of general relativity (GR), and absence of a dark matter candidate. The LHC experiments, according to which the TeV domain appears to be empty of new particles, started sidelining TeV-scale SUSY and other known cures of the UV sensitivity. In search for a remedy, in this work, it is revealed that affine curvature can emerge in a way restoring gauge symmetries explicitly broken by the UV cutoff. This emergent curvature cures the UV sensitivity and incorporates GR as symmetry-restoring emergent gravity ({\it symmergent gravity}, in brief) if a new physics sector (NP) exists to generate the Planck scale and if SM+NP is fermi-bose balanced. This setup, carrying fingerprints of trans-Planckian SUSY, predicts that gravity is Einstein (no higher-curvature terms), cosmic/gamma rays can originate from heavy NP scalars, and the UV cutoff might take right value to suppress the cosmological constant (alleviating fine-tuning with SUSY). The NP does not have to couple to the SM. In fact, NP-SM coupling can take any value from zero to ${\Lambda }_{SM}^2/{\Lambda }_{NP}^2$ if the SM is not to jump from ${\Lambda }_{SM}\approx 500\mathrm{GeV}$ to the NP scale ${\Lambda }_{NP}$. The zero coupling, certifying an undetectable NP, agrees with all the collider and dark matter bounds at present. The {\it seesawic} bound ${\Lambda }_{SM}^2/{\Lambda }_{NP}^2$, directly verifiable at colliders, implies that: {\it (i)} dark matter must have a mass $\lesssim {\Lambda }_{SM}$, {\it (ii)} Higgs-curvature coupling must be $\approx 1.3\%$, {\it (iii)} the SM RGEs must remain nearly as in the SM, and {\it (iv)} right-handed neutrinos must have a mass $\lesssim 1000\mathrm{TeV}$. These signatures serve as a concise testbed for symmergence.

Comments: 32 pages, 6 figures, 1 table. v3: Added a new section, new references and a figure; Reorganized sections; Journal version