Résumé
Context. Recent instruments have extended radial velocity observations from the optical domain to the near-infrared range (NIR). In particular, this has allowed M dwarfs to be studied more extensively, which is notable because they are known to host rocky planets more frequently. However, these stars also have, on average, stronger magnetic activity compared to solar-type stars, and investigating this magnetic activity is key to uncovering any planets around such stars.Aims. This paper aims to extensively test a new reliable magnetic activity indicator named W1 and confirm it as a proxy for the small-scale magnetic field for M dwarf stars.Methods. The magnetic activity indicator W1 is derived from a principal component analysis (PCA) applied on the per-line differential line width (dLW). However, the PCA is highly sensitive to contamination from telluric residuals in the spectra. Therefore, we employed a filtering technique based on such machine learning tools as the unsupervised dimensional reduction (DR) algorithm and support vector machine (SVM) to remove faulty lines. We assessed the performance of this filtering method using a simulation of observations of the per-line dLW variations before applying it to NIR high-resolution spectroscopic observations from SPIRou (at the Canada-France-Hawaii Telescope) of five targets with various stellar magnetic activity levels, spectral types, and rotation periods contained in the SPIRou Legacy Survey, namely AU Mic, EV Lac, GJ1286, GJ1289, and G1 410.Results. The filtered W1 signal is modulated with a period consistent with the rotation period retrieved from activity indicators, corresponding to the magnetic activity for all the stars studied. It also correlates with the small-scale magnetic field of all five stars, with a direct Pearson correlation coefficient greater than 0.80. Additionally, we identified 201 stellar lines that are particularly sensitive to magnetic activity that could be valuable for the study of magnetic fields.