The β-decay process of the 6 He halo nucleus into the α + d continuum is studied in an updated three-body model. The 6 He nucleus is described as an α+n+n system in hyperspherical coordinates on a Lagrange-mesh. The shape and absolute values of the transition probability per time and energy units of new experiments are reproduced with a modified α + d potential. The obtained total transition probabilities are 2.48 × 10 −6 s −1 for the full energy region and 2.40 × 10 −6 s −1 for the cut-off E > 150 keV. The strong cancellation between the internal and halo parts of the β decay matrix element is a challenge for future ab initio calculations.PACS numbers: 23.40. Hc, 21.45.+v, 21.60.Gx, 27.20.+n The β-delayed deuteron decay of 6 He, i.e. the β decay of 6 He into 4 He and a deuteron,has been measured several times with various results for its very small branching ratio [1][2][3][4][5]. The smallness of the branching was first explained as a cancellation between the internal and halo parts of the Gamow-Teller matrix element by a semi-microscopic model in Ref. [6]. This interpretation was confirmed by later models (see references in Ref. [7]) but all results are very sensitive to tiny details. The branching ratio that we obtained in a three-body model [7,8] agreed with the data of the most recent experiment at that time [3]. This is due to a good description of the ground-state energy and halo of 6 He with an α + n + n wave function and to a potential fitting the α + d s-wave phase shift and the normalization of the experimental curve.Since the publication of our calculation [7,8], two measurements [4,5] were performed, which update the experimental data and challenge our theoretical transition probabilities of the process. The first measurement by the ISOLDE collaboration in 2009 [4] used the technique of implantation into a highly segmented silicon detector. A branching ratio B = (1.65 ± 0.10) × 10 −6 was obtained for deuterons with energies above 350 keV with a 6% error. The corresponding transition probability is W = (1.42±0.09)×10 −6 s −1 for E d > 350 keV. The data slightly underestimates our previous theoretical results, 2.04 × 10 −6 s −1 for the full energy range or 1.59 × 10 . The shape of the spectrum is found to be in a good agreement with the three-body model [7,8], while the total transition probability is [2.39±0.06(stat)±0.15(sys)]×10which is about 20% larger than our theoretical prediction of Ref.[8], while the shape of the spectrum is in excellent agreement with theory. The aim of the present report is to update the theoretical model [7,8] and describe the new experimental data [5] with high precision. We also discuss expectations for theoretical progress. The 6 He nucleus is described as an α + n + n system in hyperspherical coordinates on a Lagrange mesh (see Ref.[9] for details). The ground-state wave function Ψ6 He (r, R) is then expressed and normalized in Jacobi coordinates: r between the neutrons and R between the α core and the center of mass of these neutrons. The transition probability p...