Signatures of Large Composite Dark Matter States

TL;DR

This paper explores how large composite dark matter states interact with the Standard Model, revealing unique scattering features, form factors, and astrophysical effects that could influence detection strategies.

Contribution

It introduces a detailed analysis of the form factors and collective excitations of large composite dark matter, highlighting their impact on detection signals and astrophysical phenomena.

Findings

Elastic scattering can be coherently enhanced by A^2

Recoil spectra may exhibit peaks and troughs with ~50 events

Inelastic interactions could cause dark matter collapse in astrophysical objects

Abstract

We investigate the interactions of large composite dark matter (DM) states with the Standard Model (SM) sector. Elastic scattering with SM nuclei can be coherently enhanced by factors as large as A^2, where A is the number of constituents in the composite state (there exist models in which DM states of very large A > 10^8 may be realised). This enhancement, for a given direct detection event rate, weakens the expected signals at colliders by up to 1/A. Moreover, the spatially extended nature of the DM states leads to an additional, characteristic, form factor modifying the momentum dependence of scattering processes, altering the recoil energy spectra in direct detection experiments. In particular, energy recoil spectra with peaks and troughs are possible, and such features could be confirmed with only O(50) events, independently of the assumed halo velocity distribution. Large composite states also generically give rise to low-energy collective excitations potentially relevant to direct detection and indirect detection phenomenology. We compute the form factor for a generic class of such excitations - quantised surface modes - finding that they can lead to coherently-enhanced, but generally sub-dominant, inelastic scattering in direct detection experiments. Finally, we study the modifications to capture rates in astrophysical objects that follow from the elastic form factor, as well as the effects of inelastic interactions between DM states once captured. We argue that inelastic interactions may lead to the DM collapsing to a dense configuration at the centre of the object.