Abstract

Black hole superradiance is a powerful tool in the search for ultra-light bosons. Constraints on the existence of such particles have been derived from the observation of highly spinning black holes, absence of continuous gravitational-wave signals, and of the associated stochastic background. However, these constraints are only strictly speaking valid in the limit where the boson's interactions can be neglected. In this work we investigate the extent to which the superradiant growth of an ultra-light dark photon can be quenched via scattering processes with ambient electrons. For dark photon masses $m_{\gamma^\prime} \gtrsim 10^{-17}\,{\rm eV}$, and for reasonable values of the ambient electron number density, we find superradiance can be quenched prior to extracting a significant fraction of the black-hole spin. For sufficiently large $m_{\gamma^\prime}$ and small electron number densities, the in-medium suppression of the kinetic mixing can be efficiently removed, and quenching occurs for mixings $\chi_0 \gtrsim \mathcal{O}(10^{-8})$; at low masses, however, in-medium effects strongly inhibit otherwise efficient scattering processes from dissipating energy. Intriguingly, this quenching leads to a time- and energy-oscillating electromagnetic signature, with luminosities potentially extending up to $\sim 10^{57}\,{\rm erg / s}$, suggesting that such events should be detectable with existing telescopes. As a byproduct we also show that superradiance cannot be used to constrain a small mass for the Standard Model photon.

Highlights

  • Black hole (BH) superradiance is the process by which low-energy bosons can extract the rotational energy of a spinning BH [1,2,3,4,5,6]

  • We find that despite an initial in-medium suppression [48,49] of the interaction strength, dark photons which kinetically mix with the Standard Model (SM) photon will quench if their mass mγ0 ≳ 10−16 eV and vacuum mixing χ0 ≳ 10−7

  • We show that for sufficiently large kinetic mixings, dark photon superradiance may produce time-oscillating electromagnetic signatures arising from semi-Compton scattering and synchrotron emission of the ambient electrons

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Summary

INTRODUCTION

Black hole (BH) superradiance is the process by which low-energy bosons can extract the rotational energy of a spinning BH [1,2,3,4,5,6] (see Ref. [7] for an overview). Most studies far have focused on understanding the growth and evolution of a BH-boson condensate forming through the superradiant instability, under the simplifying assumption that the boson field is noninteracting In this case, and if the boson mass mb ≲ M−1 (being M the mass of the BH; we use G 1⁄4 c 1⁄4 ħ 1⁄4 κB 1⁄4 1 units hereafter), one expects the superradiant boson cloud to be able to extract up to ≈10% of the angular momentum of a highly spinning BH over extremely short timescales [11,12,13]. We focus here on the role of ultralight dark photon interactions during the superradiant growth, identifying parameters and model-dependent features for which quenching occurs, and illustrating that electromagnetic signatures may arise when quenching is important.

VECTOR SUPERRADIANT INSTABILITY
THE DARK PHOTON IN A PLASMA
Collisional regime
Collisionless regime
Summary of in-medium suppression and effect of collisions
QUENCHING THE GROWTH OF THE DARK PHOTON
Scattering processes
The evolution and quenching
Observable signatures
Comments on UV completions
A COMMENT ON THE SM PHOTON MASS
CONCLUSION
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