Experimental signatures of Kalb-Ramond-like particles

Abstract

We analyse phenomenological signatures of Kalb-Ramond-like particles, described by an antisymmetric rank-2 tensor, when coupled to fermionic matter. The latter is modelled by a tensor current coupled directly to the Kalb-Ramond field or by a pseudovector current coupled to the rank-1 dual of the field-strength tensor. We obtain limits on the coupling constants to fermions and mass of the Kalb-Ramond-like particles by investigating their impact on the hyperfine splittings of hydrogen, the tree-level unitarity of the $S$ matrix for $e^{-}+e^{+}\to {\ell }^{-}+{\ell }^{+}$ scattering with $\ell \ne e$ and the differential cross section for Bhabha scattering. Assuming that the couplings to fermions are independent of the fermion species, the strongest 95\%-CL bounds we find are from LEP data at $\sqrt{s}=136.23$~GeV, namely $g_{\mathrm{PV}}/\Lambda \lesssim 6.3\times 10^{-13}{\mathrm{eV}}^{-1}$ and $g_{\mathrm{T}}\lesssim 1.3\times 10^{-12}\left(m/\mathrm{eV}\right)$, both for $m\ll \sqrt{s}$ (here $\Lambda$ is a characteristic energy scale). These limits can be improved in upcoming lepton colliders due to enhanced precision, as well as higher energies.

49 pages, 4 figures; matches published version

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