Constraints on nDGP gravity from SPT galaxy clusters with DES and HST weak-lensing mass calibration and from Planck PR4 CMB anisotropies

TL;DR

This paper constrains the nDGP gravity model using galaxy cluster abundance from SPT, weak-lensing calibration from DES and HST, and Planck CMB data, providing competitive bounds on the model parameters.

Contribution

It introduces a combined analysis of galaxy cluster counts, weak-lensing mass calibration, and Planck CMB data to constrain the nDGP gravity model for the first time.

Findings

Upper bound of 1/√(H₀ r_c) < 1.41 at 95% confidence

Cluster abundance and CMB data jointly constrain nDGP parameters

Weak-lensing calibration enhances the robustness of mass measurements

Abstract

We present constraints on the normal branch of the Dvali-Gabadadze-Porrati (nDGP) braneworld gravity model from the abundance of massive galaxy clusters. On scales below the nDGP crossover scale $r_{\rm c}$, the nDGP model features an effective gravity-like fifth force that alters the growth of structure, leading to an enhancement of the halo mass function (HMF) on cluster scales. The enhanced cluster abundance allows for constraints on the nDGP model using cluster samples. We employ the SPT cluster sample, selected through the thermal Sunyaev-Zel'dovich effect (tSZE) with the South Pole Telescope (SPT) and with mass calibration using weak-lensing data from the Dark Energy Survey (DES) and the Hubble Space Telescope (HST). The cluster sample contains 1,005 clusters with redshifts $0.25 < z < 1.78$, which are confirmed with the Multi-Component Matched Filter (MCMF) algorithm using optical and near-infrared data. Weak-lensing data from DES and HST enable a robust mass measurement of the cluster sample. We use DES Year 3 data for 688 clusters with redshifts $z < 0.95$, and HST data for 39 clusters with redshifts $ 0.6 < z <1.7$. We account for the enhancement in the HMF through a semi-analytic correction factor to the $\nu\Lambda$CDM HMF derived from the spherical collapse model in the nDGP model. We then further calibrate this model using $N$-body simulations. In addition, for the first time, we analyze the primary cosmic microwave background (CMB) temperature and polarization anisotropy measurements from Planck PR4 within the nDGP model. We obtain a competitive constraint from the joint analysis of the SPT cluster abundance with the Planck PR4 data, and report an upper bound of $1/\sqrt{H_0r_{\rm c}}< 1.41$ at $95\%$ when assuming a cosmology with massive neutrinos.