Constraining the helium-to-metal enrichment ratio $\Delta Y/\Delta Z$ from main sequence binary stars. Theoretical analysis of the accuracy and precision of the age and helium abundance estimates

Abstract

We investigated the theoretical possibility of accurately determining the helium-to-metal enrichment ratio $\Delta Y/\Delta Z$ from precise observations of double lined eclipsing binary systems. Using Monte Carlo simulations, we drew synthetic binary systems with masses between 0.85 and 1.00 $M_{\odot }$ from a grid of stellar models with $\Delta Y/\Delta Z=2.0$ [...]. Subsequently, a broader grid with $\Delta Y/\Delta Z$ from 1.0 to 3.0 was used in the fitting process. To account for observational uncertainties, two scenarios were explored: S1 with realistic uncertainties of 100 K in temperature and 0.1 dex in [Fe/H], and S2 with halved uncertainties. We repeated the simulation at two baseline metallicities: [Fe/H] = 0.0 and -0.3. The posterior distributions of $\Delta Y/\Delta Z$ were severely biased towards the edge of the allowable range in the S1 errors scenario. The situation only marginally improved when considering the S2 scenario. The effect is due to the impact of changing $\Delta Y/\Delta Z$ in the stellar effective temperature and its interplay with [Fe/H] observational error, and it is therefore not restricted to the specific fitting method. Despite the presence of these systematic discrepancies, the age of the systems were recovered unbiased with 10% precision. Our findings indicate that the observational uncertainty in effective temperature and metallicity significantly hinders the accurate determination of the $\Delta Y/\Delta Z$ parameter from main sequence binary systems.

arXiv commentAccepted for publication in A&A

References in corpus (37)

• The chemical composition of the Sun
• The Transiting Exoplanet Survey Satellite
• Accurate masses and radii of normal stars: modern results and applications
• Element Diffusion in the Solar Interior
• The effective temperature scale of FGK stars. II. Teff : color : [Fe/H] calibrations
• The Pisa pre-main sequence tracks and isochrones. A database covering a wide range of Z, Y, mass, and age values
• The Chemical Composition of the Small Magellanic Cloud H II Region NGC 346 and the Primordial Helium Abundance
• Helium enhanced stars and multiple populations along the horizontal branch of NGC2808: direct spectroscopic measurements
• The Helium abundance and Delta Y / Delta Z in Lower Main Sequence stars
• The Pisa Stellar Evolution Data Base for low-mass stars
• DY/DZ from fine structure in the Main Sequence based on Hipparcos parallaxes
• Heavy Element Diffusion in Metal Poor Stars
• The dependence of convective core overshooting on stellar mass: semi-empirical determination using the diffusive approach with two different element mixtures
• Effects of Helium Enrichment in Globular Clusters I.Theoretical Plane with PGPUC stellar evolution code
• Primordial Helium Abundance: A Reanalysis of the Izotov-Thuan Spectroscopic Sample
• ΔY/ ΔZ from the analysis of local K dwarfs
• Toward a consistent use of overshooting parametrizations in 1D stellar evolution codes
• Cumulative physical uncertainty in modern stellar models I. The case of low-mass stars
• New Results on Standard Solar Models
• Uncertainties in grid-based estimates of stellar mass and radius. SCEPtER: Stellar CharactEristics Pisa Estimation gRid
• Statistical errors and systematic biases in the calibration of the convective core overshooting with eclipsing binaries. A case study: TZ Fornacis
• Stellar models with mixing length and T(tau) relations calibrated on 3D convection simulations
• Effective temperatures of red giants in the APOKASC catalogue and the mixing length calibration in stellar models
• Comparative analysis of atmospheric parameters from high-resolution spectroscopic sky surveys: APOGEE, GALAH, Gaia-ESO
• Examining the relationships between colour, $T_{\mathrm{eff}}$, and [M/H] for APOGEE K and M dwarfs
• Fundamental effective temperature measurements for eclipsing binary stars I. Development of the method and application to AI Phoenicis
• Revised extinctions and radii for 1.5 million stars observed by APOGEE, GALAH, and RAVE
• Atomic diffusion and turbulent mixing in solar-like stars: Impact on the fundamental properties of FG-type stars
• Bayesian calibration of the mixing length parameter ${\alpha }_{ML}$ and of the helium-to-metal enrichment ratio $\Delta Y/\Delta Z$ with open clusters: the Hyades test-bed
• Overshooting calibration and age determination from evolved binary system
• Helium abundances and its radial gradient from the spectra of HII regions and ring nebulae of the Milky Way
• Fundamental properties of nearby stars and the consequences on DeltaY/DeltaZ
• Grid-based estimates of stellar ages in binary systems. SCEPtER: Stellar CharactEristics Pisa Estimation gRid
• Level of helium enhancement among M3's horizontal-branch stars
• Helium contamination from the progenitor stars of planetary nebulae: The He/H radial gradient and the Delta Y/Delta Z enrichment ratio
• Stellar model calibrations with the Ai Phe binary system. Open questions about the robustness of the fit
• Age and convective core overshooting calibrations in CPD-54 810 binary system. Statistical investigation on the solution robustness