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We present the fundamental stellar and planetary properties of the transitingplanetary system WASP-13 within the framework of the Homogeneous Study ofTransiting Systems (HoSTS). HoSTS aims to derive the fundamental stellar (Teff,[Fe/H], Mstar, Rstar), and planetary (Mpl, Rpl, Teq) physical properties ofknown transiting planets using a consistent methodology and homogeneoushigh-quality dataset. Four spectral analysis techniques are independentlyapplied to a Keck+HIRES spectrum of WASP-13 considering two distinct cases:unconstrained parameters, and constrained log g from transit light curves. Wecheck the derived stellar temperature against that from a different temperaturediagnostic based on an INT+IDS H{\alpha} spectrum. The four unconstrainedanalyses render results that are in good agreement, and provide an improvementof 50% in the precision of Teff, and of 85% in [Fe/H] with respect to theWASP-13 discovery paper. The planetary parameters are then derived via theMonte-Carlo-Markov-Chain modeling of the radial velocity and light curves, initeration with stellar evolutionary models to derive realistic uncertainties.WASP-13 (1.187 +- 0.065 Msun; 1.574 +- 0.048 Rsun) hosts a Saturn-mass,transiting planet (0.500 +- 0.037 MJup; 1.407 +- 0.052 RJup), and is at the endof its main-sequence lifetime (4-5.5 Gyr). Our analysis of WASP-13 showcasesthat both a detailed stellar characterization, and transit modeling arenecessary to well determine the fundamental properties of planetary systems,which are paramount in identifying and determining empirical relationshipsbetween transiting planets and their hosts.

The Homogeneous Study of Transiting Systems (HoSTS) I. The Pilot Study of WASP-13