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\subsection{Stellar Models}  We have used the Modules for Experiments in Stellar Evolution (MESA, release #7385) code to evolve low-mass stars with initial mass in the range 1-2.5 $\mso$. Models have been evolved from the pre-main-sequence to the tip of the red giant branch \citep{Paxton_2010,Paxton_2013}. We chose a metallicity of $Z=0.02$ with a mixture taken from \citet{2005ASPC..336...25A}; the plasma opacity is determined using the OPAL opacity tables from \citet{Iglesias_1996}. Convective regions are calculated using the mixing-length theory (MLT) with $\alpha_{\rm MLT} = 2.0$. The boundaries of convective regions are determined using the Ledoux criterion. An exponentially decaying overshooting with $f_{\rm ov}= 0.018$ extends the mixing region beyond the convective boundaries \cite{2000A&A...360..952H}. We include below in \ref{inlist}  the inlist used for running the calculations.