The Pristine Dwarf-Galaxy survey -- IV. Probing the outskirts of the dwarf galaxy Bo\"otes I

We present a new spectroscopic study of the dwarf galaxy Bootes I (Boo I) with data from the Anglo-Australian Telescope and its AAOmega spectrograph together with the Two Degree Field multi-object system. We observed 36 high-probability Boo I stars selected using Gaia Early Data Release 3 proper motions and photometric metallicities from the Pristine survey. Out of those, 29 are found to be Boo I's stars, resulting in an excellent success rate of 80% at finding new members. Our analysis uses a new pipeline developed to estimate radial velocities and equivalent widths of the calcium triplet lines from Gaussian and Voigt line profile fits. The metallicities of 18 members are derived, including 3 extremely metal-poor stars ([Fe/H] < -3.0), which translates into an exceptional success rate of 25% at finding them with the combination of Pristine and Gaia. Using the large spatial extent of our new members that spans up to 4.1 half-light radii and spectroscopy from the literature, we are able to detect a systemic velocity gradient of 0.15+/-0.10 km s-1 arcmin-1 and a small but resolved metallicity gradient of -0.007+/-0.003 dex arcmin-1. Finally, we show that Boo I is more elongated than previously thought with an ellipticity of {\epsilon} = 0.68+/-0.15. Its velocity and metallicity gradients as well as its elongation suggest that Boo I may have been affected by tides, a result supported by direct dynamical modelling.