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A comprehensive multi-wavelength campaign has been carried out to probestellar activity and variability in the young Sun-like star $\iota$-Horologii.We present the results from long-term spectropolarimetric monitoring of thesystem by using the ultra-stable spectropolarimeter/velocimeter HARPS at theESO 3.6-m telescope. Additionally, we included high-precision photometry fromthe NASA Transiting Exoplanet Survey Satellite (TESS) and observations in thefar- and near-ultraviolet spectral regions using the STIS instrument on theNASA/ESA Hubble Space Telescope (HST). The high-quality dataset allows a robustcharacterisation of the star's rotation period, as well as a probe of thevariability using a range of spectroscopic and photometric activity proxies. Byanalyzing the gradient of the power spectra (GPS) of the TESS lightcurves weconstrained the faculae-to-spot driver ratio ($\rm S_{fac}/S_{spot}$) to0.510$\pm$0.023, which indicates that the stellar surface is spot dominatedduring the time of the observations. We compared the photospheric activityproperties derived from the GPS method with a magnetic field map of the starderived using Zeeman-Doppler imaging (ZDI) from simultaneousspectropolarimetric data for the first time. Different stellar activity proxiesenable a more complete interpretation of the observed variability. For example,we observed enhanced emission in the HST transition line diagnostics C IV and CIII, suggesting a flaring event. From the analysis of TESS data acquiredsimultaneously with the HST data, we investigate the photometric variability atthe precise moment that the emission increased and derive correlations betweendifferent observables, probing the star from its photosphere to its corona.

Far beyond the Sun: II. Probing the stellar magnetism of the young Sun {\iota} Horologii from the photosphere to its corona