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Peer-reviewedCC BY 4.0The European Physical Journal C

Non-minimally coupled running curvaton for DESI-motivated dynamical dark energy

  1. 1Jishou University

Abstract

Recent DESI baryon-acoustic-oscillation measurements, when combined with CMB and supernova distance data, have renewed interest in dynamical dark energy whose effective equation of state can cross the phantom divide. We investigate whether such behavior can be embedded in the running-curvaton framework by adding a Jordan-frame non-minimal coupling, ξ χ 2R ξ χ 2 R . The same field is used in two regimes: as a curvaton sector in the early universe and as a late-time dark-energy component. We show that the leading early-time curvaton predictions can be preserved by retuning the effective mass parameter, while the geometric terms in the late-time pressure allow phantom-crossing background histories without introducing a phantom kinetic term. We then perform a background-level likelihood analysis using numerical solutions of the model’s late-time homogeneous background equations, a reduced CMB prior on (θ *,ω b,ω bc) ( θ ∗ , ω b , ω bc ) , the official DESI DR2 BAO data vector with full covariance, and Pantheon+ supernovae without SH0ES calibration. This likelihood tests acoustic-scale, BAO-distance and supernova-distance consistency under the assumption that the curvaton/NMC sector is negligible near recombination. The MCMC analysis gives stable derived background parameters, with H0=67.88+0.53−0.61 km s−1 Mpc−1 H 0 = 67 . 88 - 0.61 + 0.53 km s - 1 Mpc - 1 , Ω m=0.3072+0.0059−0.0054 Ω m = 0 . 3072 - 0.0054 + 0.0059 , w0=−0.922+0.055−0.063 w 0 = - 0 . 922 - 0.063 + 0.055 and wa=−0.205+0.173−0.182 w a = - 0 . 205 - 0.182 + 0.173 . The microscopic non-minimal-coupling parameters remain broad, skewed and long-tailed in the marginalized posterior, reflecting degeneracies under background-level data. These results should not be interpreted as a full perturbation-level CMB constraint on the non-minimally coupled curvaton. They are a reduced-CMB+BAO+SN consistency test of the homogeneous expansion history. A Boltzmann-code implementation including TT/TE/EE spectra, CMB lensing, late integrated Sachs–Wolfe effects and scalar perturbation evolution is needed for a definitive test.

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BibTeX
@article{li2026nonminimally,
  title = {{Non-minimally coupled running curvaton for DESI-motivated dynamical dark energy}},
  author = {Bichu Li and Lei-Hua Liu},
  journal = {The European Physical Journal C},
  year = {2026},
  month = oct,
  doi = {10.1140/epjc/s10052-026-16396-3},
  url = {https://link.springer.com/10.1140/epjc/s10052-026-16396-3},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Non-minimally coupled running curvaton for DESI-motivated dynamical dark energy
AU  - Bichu Li
AU  - Lei-Hua Liu
PY  - 2026
DA  - 2026/10/08
JO  - The European Physical Journal C
DO  - 10.1140/epjc/s10052-026-16396-3
UR  - https://link.springer.com/10.1140/epjc/s10052-026-16396-3
AB  - Recent DESI baryon-acoustic-oscillation measurements, when combined with CMB and supernova distance data, have renewed interest in dynamical dark energy whose effective equation of state can cross the phantom divide. We investigate whether such behavior can be embedded in the running-curvaton framework by adding a Jordan-frame non-minimal coupling, ξ χ ^2R ξ χ 2 R . The same field is used in two regimes: as a curvaton sector in the early universe and as a late-time dark-energy component. We show that the leading early-time curvaton predictions can be preserved by retuning the effective mass parameter, while the geometric terms in the late-time pressure allow phantom-crossing background histories without introducing a phantom kinetic term. We then perform a background-level likelihood analysis using numerical solutions of the model’s late-time homogeneous background equations, a reduced CMB prior on (θ _*,ω _b,ω _bc) ( θ ∗ , ω b , ω bc ) , the official DESI DR2 BAO data vector with full covariance, and Pantheon+ supernovae without SH0ES calibration. This likelihood tests acoustic-scale, BAO-distance and supernova-distance consistency under the assumption that the curvaton/NMC sector is negligible near recombination. The MCMC analysis gives stable derived background parameters, with H_0=67.88^+0.53_−0.61 km s^−1 Mpc^−1 H 0 = 67 . 88 - 0.61 + 0.53 km s - 1 Mpc - 1 , Ω _m=0.3072^+0.0059_−0.0054 Ω m = 0 . 3072 - 0.0054 + 0.0059 , w_0=−0.922^+0.055_−0.063 w 0 = - 0 . 922 - 0.063 + 0.055 and w_a=−0.205^+0.173_−0.182 w a = - 0 . 205 - 0.182 + 0.173 . The microscopic non-minimal-coupling parameters remain broad, skewed and long-tailed in the marginalized posterior, reflecting degeneracies under background-level data. These results should not be interpreted as a full perturbation-level CMB constraint on the non-minimally coupled curvaton. They are a reduced-CMB+BAO+SN consistency test of the homogeneous expansion history. A Boltzmann-code implementation including TT/TE/EE spectra, CMB lensing, late integrated Sachs–Wolfe effects and scalar perturbation evolution is needed for a definitive test.
SN  - 1434-6044
SN  - 1434-6052
ER  -