Abstract

We revisit the question of hadronic decays of a GeV-mass Higgs-like scalar. A number of extensions of the Standard Model predict Higgs sector with additional light scalars. Currently operating and planned Intensity Frontier experiments will probe for the existence of such particles, while theoretical computations are plagued by uncer- tainties. The goal of this paper is to bring the results in a consolidated form that can be readily used by experimental groups. To this end we provide a physically motivated fitting ansatz for the decay width that reproduces the previous non-perturbative nu- merical analysis. We describe systematic uncertainties of the non-perturbative method and provide explicit examples of the influence of extra resonances above 1.4 GeV onto the total decay width.

Highlights

  • We provide a physically motivated fitting ansatz for the decay width that reproduces the previous nonperturbative numerical analysis

  • We review computation of the hadronic decay in the chiral perturbation theory, reproducing the results of Ref. [18] in Sec

  • VI show that form factors may appreciably depend on the parameters in (51), we will not discuss these corrections, referring the reader to Ref. [23], claiming that variations of the parameters (51) do not influence the decay rate significantly

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Summary

MOTIVATION

The Standard Model of particle physics provides a closed and self-consistent description of known elementary particles interacting via strong, weak, and electromagnetic forces. Explores portals—mediator particles that both couple to states in the “hidden sectors” and interact with the Standard Model Such portals can be renormalizable (mass dimension ≤ 4) or be realized as higher-dimensional operators suppressed by the dimensionful couplings Λ−n, with Λ being the new energy scale of the hidden sector. Mediator couplings to the Standard Model sector can be sufficiently small to allow for the portal particles to be (much) lighter than the electroweak scale Such models can be explored with Intensity (rather than Energy) frontier experiments. The sum in (3) contains contributions from light (u, d, s) and heavy (c, b, t) quarks The latter can be expressed in terms of the former and the energy-momentum tensor by using a clever trick based on the knowledge of the trace anomaly and the renormalization group invariance of the energy-momentum tensor We will present a nonperturbative approach based on dispersion relations

BEYOND ChPT AND UNITARITY
Analyticity and unitarity
REVIEW OF DIFFERENT METHODS AND THEIR RESULTS
One-channel solution
Two channels
Resonance approximation
Modified one-channel approximation
RESULTS AND COMPARISON
DISCUSSION
Domain of validity
Experimental data for ψ0 and Υ0 decays
VIII. CONCLUSION

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