With experiments improving their 2𝜈𝛽𝛽 measurements, there is growing demand for precision in
its theoretical calculation. A correction that has been applied to single 𝛽-decay and 0𝜈𝛽𝛽, but not
yet to 2𝜈𝛽𝛽, is the chiral correction. This correction includes the chiral potential generated by pion
exchange, and the addition of weak nuclear magnetism. We show that the chiral potential reduces
the half life by a few percent, which may be experimentally determined once NME uncertainties
have sufficiently decreased. We also show that the weak magnetic correction modifies the spectral
shape at the sub-percent level. Which ought to be included in future high-precision measurements
of 𝜉31 and 𝜉51, as well as in certain BSM scenarios, such as those involving sterile neutrinos.

