Periodic Reporting for period 2 - DMIDAS (Astrophysical constraints on the identity of the dark matter) Reporting period: 2020-04-01 to 2021-09-30 Summary of the context and overall objectives of the project Problem addressed:Dark matter makes up most of the mass in the Universe and is responsible for the growth of cosmic structure. Multiple lines of evidence indicate that it is an elementary particle made in the early phases of the Big Bang, which is different from ordinary (or baryonic) matter. The goal of DMIDAS is to search for clues to the identity of the dark matter in astrophysical objects. Through a combination of theoretical developments and astronomical observations, it may possible to rule out the current standard hypothesis for the nature of dark matter, known as ``Cold dark matter'' (or CDM), or viable alternatives such as `Warm'' or ``Self-interacting'' dark matter.The project involves studying a range of phenomena, from the gravitational lensing signals of small-mass dark matter halosto the properties of dwarf galaxies and satellites of large galaxies, all expected to depend on the nature of the dark matter.Importance for society:The identity of the dark matter is a fundamental problem whose solution will have major implications for cosmology, astronomy and particle physics. Problems of this kind have tremendous public appeal and can engage society in major scientific advances, thereby bringing out the power of a rational approach to problems and the importance of rigorous, systematic thinking.Basic science is the foundation of applied science and technology but the benefits many not be immediate. This project relies on advanced massively parallel computing, including the development of novel techniques and codes, many transferable to applied science. It also involves the design and application of statistical techniques including machine learning, and these too have applications beyondastrophysics. An unexpected development is that the same statistical techniques that we have developed for the analysis of gravitational lensing images can be applied to tackle a completely different problem: the treatment of cancer patients. Finally, the project involves the design and deployment of a novel telescope concept to be operated above the atmosphere onhigh-altitude, long-flight balloons. Both are important technological developments. Objectives: To: (i) calculate predictions, for different assumptions for the dark matter, of the properties of small-mass halos, both those that remain dark and those that host galaxies; (ii) test these predictions against new astronomical data; (iii) predict the signals expected in direct and indirect experimental searches for dark matter; (iv) make the theoretical predictions publicly available.. An important byproduct will be a greater understanding of the physics of galaxy formation. Work performed from the beginning of the project to the end of the period covered by the report and main results achieved so far The project contains a mixture of technical developments and scientific applications. On the technical side:1. We have made enormous progress in the development of the SWIFT cosmological simulations code. In collaboration with colleagues at Leiden, we have nearly completed the implementation of new ``subgrid'' physics models that make it possible to simulate the small-scale processes that are vital for this project.2. We had a successful test flight of SuperBIT. 3. The design, construction and deployment of the DESI survey instrumentat the Mayall telescope in Arizona were all successfully completed in budget and on time. We have published 73 refereed papers since the start of the project, including an extensive review of dark matter subhaloes (Zavala and Frenk 2019) and a paper in Nature (Wang et al 2020). These papers have already been cited over 1200 times, with 16 of them having accrued over 30, and 6 over 50, citations each since publication in 2019.Highlights include:1. The completion of the Auriga high-resolution simulations of Milky Way-like galaxies (Grand et al. 2018). Theserepresent the state-of-the art in the subject and have been used for a variety of studies of the satellites (Bose etal. 2019, Simpson et al. 2019) and stellar halo (Monachesi et al. 2019, Fattahi et al. 2019, 2020) of the Milky Way. They are the basis of the AuriGaia stellar mock catalogues of the GAIA DR2 data (Grand et al. 2018), which we have publicly released.2. The most accurate determination of the mass of the Milky Way to date from a combination of satellite dynamics using GAIA data and the Auriga simulations (Callingham et al. 2019) and, by fitting physically motivated models to the Gaia DR2 Galactic rotation curve and other data, of its spatial distribution (Cautun et al. 2020).3. A detailed analysis, based on a systematic set of targeted cosmological hydrodynamics simulations, of the mechanisms that cancreate cores in the centres of cold dark matter haloes by baryonic effects (Benitez-Llambay et al 2019, Bose et al. 2019).4. An analysis of the neutral hydrogen rotation curves of simulated dwarf galaxies applying the same techniques as for observational data. The ``diversity of rotation curves'' (which we uncovered in earlier work) does not imply the presence of central cores but, instead, could be due to non-circular velocities in the gas (Oman et al. 2019, Santos-Santos et al. 2020).5. A variety of studies relevant to dark matter detection, from the properties of decaying dark matter (Lovell et al. 2019a, 2019b)through the effects of the galactic disc on the velocity distribution of cold dark matter particles (Bozorgnia et al. 2019a, 2019b) to thedestruction of small subhaloes as they pass through the galactic disc (Richings et al. 2020). 6. Studies of the dynamics and spatial distribution of galactic satellites, including their peculiar arrangement in arotating plane of satellites (Riley et al 2019, Callingham et al. 2020, Cautun et al. 2020, Shao et al. 2019, 2020).7. A dark matter simulation that achieves a dynamic range of 30 orders of magnitude in mass and resolves the internal structureof Earth-mass haloes. Halo density profiles are universal over the entire mass range and are well described by the Navarro-Frenk-White formula. Halo mass and concentration are tightly related in a way that depends on cosmology and on the natureof the dark matter. Small halos contribute about equally (per logarithmic interval) to the dark matter annihilation luminosity,which we find to be smaller than all previous estimates by factors ranging up to one thousand (Wang et al. 2020).8. A physical model of the formation of the first galaxies and the prediction that dark matter halos with present-day mass less than 3x10^8 Moare all dark, while those with mass above 5×10^9 Mo are all luminous. The results of the model are in excellent agreement with cosmologicalhydrodynamic simulations (Benitez-Llambay and Frenk 2020). Progress beyond the state of the art and expected potential impact (including the socio-economic impact and the wider societal implications of the project so far) The SWIFT code goes beyond the state-of-the-art in speed. The Auriga simulations are the state-of-the-art in simulations of Milky Way-like galaxies. The simulations of dark matter halos over 30 orders of magnitude in mass are a breakthrough both in techniques and scientific results. SuperBIT will achieve the resolution of the Hubble Space telescope at less than 1 percent of the cost. The Covid-19 pandemic affected two elements of the project. The first is the DESI survey which has been delayed by 9 months.The other is the first science ballon flight of the SuperBIT telescope which we now hope will take place in 2021.Apart from these delays, the project has proceeded as planned and all our other milestones were achieved and some surpassed. Projected dark matter density map of a cosmological simulation and a zoom showing Earth-mass halos.