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Stellar activity and planetary effects induce radial velocity (RV) offsets and cause temporal distortions in the shape of the stellar line profile. Hence, accurately probing the stellar line profile offers a wealth of information on both the star itself and any orbiting planets. Typically, Cross-Correlation Functions (CCFs) are used as a proxy for the stellar line profile. The shape of CCFs, however, can be distorted by line blending and aliasing limiting the stellar and planetary physics that can be probed from them. Least-squares deconvolution (LSD) offers an alternative that directly fits the mean line profile of the spectrum to produce a high-precision profile. In this paper, we introduce our novel method ACID (Accurate Continuum fItting and Deconvolution) that builds on LSD techniques by simultaneously fitting the spectral continuum and line profile as well as performing LSD in effective optical depth. Tests on model data revealed ACID can accurately identify and correct the spectral continuum to retrieve an injected line profile. ACID was also applied to archival HARPS data obtained during the transit of HD189733b. The application of the Reloaded Rossiter-McLaughlin technique to both ACID profiles and HARPS CCFs shows ACID residual profiles improved the out-of-line RMS by over 5% compared to CCFs. Furthermore, ACID profiles are shown to exhibit a Voigt profile shape that better describes the expected profile shape of the stellar line profile. This improved representation shows that ACID better preserves the stellar and planetary physics encoded in the stellar line profile shape for slow rotating stars., Comment: 16 pages, 13 figures. Accepted for Publication in Monthly Notices of the Royal Astronomical Society

Previous examinations of fully-convective M-dwarf stars have highlighted enhanced rates of nanoflare activity on these distant stellar sources. However, the specific role the convective boundary, which is believed to be present for spectral types earlier than M2.5V, plays on the observed nanoflare rates is not yet known. Here, we utilize a combination of statistical and Fourier techniques to examine M-dwarf stellar lightcurves that lie on either side of the convective boundary. We find that fully convective M2.5V (and later sub-types) stars have greatly enhanced nanoflare rates compared with their pre-dynamo mode transition counterparts. Specifically, we derive a flaring power-law index in the region of $3.00 \pm 0.20$, alongside a decay timescale of $200 \pm 100$~s for M2.5V and M3V stars, matching those seen in prior observations of similar stellar sub-types. Interestingly, M4V stars exhibit longer decay timescales of $450 \pm 50$~s, along with an increased power-law index of $3.10 \pm 0.18$, suggesting an interplay between the rate of nanoflare occurrence and the intrinsic plasma parameters, for example, the underlying Lundquist number. In contrast, partially convective (i.e., earlier sub-types from M0V to M2V) M-dwarf stars exhibit very weak nanoflare activity, which is not easily identifiable using statistical or Fourier techniques. This suggests that fully convective stellar atmospheres favor small-scale magnetic reconnection, leading to implications for the flare-energy budgets of these stars. Understanding why small-scale reconnection is enhanced in fully convective atmospheres may help solve questions relating to the dynamo behavior of these stellar sources., Comment: 16 pages, 5 figures, 5 tables. Accepted to ApJ