Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calibrating convective-core overshooting with eclipsing binary systems.
  The case of low-mass main-sequence stars   In a robust statistical way, we quantify the uncertainty that affects the
calibration of the overshooting efficiency parameter $\beta$ that is owing to
the uncertainty on the observational data in double-lined eclipsing binary
systems. We also quantify the bias that is caused by the lack of constraints on
the initial helium content and on the efficiencies of the superadiabatic
convection and microscopic diffusion. We adopted a modified grid-based SCEPtER
pipeline using as observational constraints the effective temperatures, [Fe/H],
masses, and radii of the two stars. In a reference scenario of mild
overshooting $\beta = 0.2$ for the synthetic data, we found both large
statistical uncertainties and biases on the estimated $\beta$. For the first
80% of the MS evolution, $\beta$ is biased and practically unconstrained in the
whole explored range [0.0; 0.4]. In the last 5% of the MS the bias vanishes and
the $1 \sigma$ error is about 0.05. For synthetic data computed with $\beta =
0.0$, the estimated $\beta$ is biased by about 0.12 in the first 80% of the MS
evolution, and by 0.05 afterwards. Assuming an uncertainty of $\pm 1$ in the
helium-to-metal enrichment ratio $\Delta Y/\Delta Z$, we found that in the
terminal part of the MS evolution the error on the estimated $\beta$ values
ranges from -0.05 to +0.10, while $\beta$ is basically unconstrained throughout
the explored range at earlier evolutionary stages. A uniform variation of $\pm
0.24$ in the mixing-length parameter around the solar-calibrated value causes
in last 5% of the MS an uncertainty from -0.09 to +0.15. A complete neglect of
diffusion in the stellar evolution computations produces a $1 \sigma$
uncertainty of $\pm 0.08$ in the last 5% of the MS, while $\beta$ is
practically unconstrained in the first 80% of the MS. Overall, the calibration
appears poorly reliable.

30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex