Acronym: pt4LCDM
Funding: Croatian Science Foundation (HRZZ), Research Projects programme
Principal investigator: Zvonimir Vlah
PI's Host institution: Ruđer Bošković Institute
Project duration: 05/12/2025 - 04/12/2028
 

Project Summary

The distribution of galaxies carries information about the expansion of the Universe, the growth of cosmic structure and the physics of the early Universe. Extracting this information requires accurate models of how matter clusters and how galaxies trace that matter.

The pt4LCDM project develops theoretical and computational tools for testing ΛCDM, the standard cosmological model based on cold dark matter and a cosmological constant. We use the effective field theory of large-scale structure to describe nonlinear galaxy clustering, including the effects of galaxy formation and peculiar velocities on observations.

Our work combines improved predictions for the galaxy power spectrum and bispectrum with fast numerical methods, including COBRA. We validate these tools against cosmological simulations and apply them to public galaxy-survey data from BOSS and DESI. The aim is to extract more information from these surveys and sharpen tests of cosmic expansion, gravity, neutrino masses and the initial conditions of the Universe.

Main research directions

  • Accurate theoretical predictions: develop the two-loop galaxy power spectrum and one-loop galaxy bispectrum, with a consistent treatment of galaxy bias and redshift-space effects.
  • Efficient computation: use and extend COBRA to make advanced theoretical calculations practical for cosmological parameter inference.
  • Tests with simulations and observations: build and validate analysis pipelines, apply them to galaxy-survey data, and investigate ΛCDM and possible extensions.

Keywords: cosmology, large-scale structure, effective field theory, galaxy clustering, cosmological inference.

Principal investigator

Zvonimir Vlah

RBI, Croatia

Collaborators

Giovanni Cabass

RBI, Croatia

Cornelius Rampf

RBI, Croatia

Elisa Chisarie

Utrecht University, the Netherlands

Selected publications and preprints

Galaxy bias renormalization: Two-loop Power Spectrum, One-loop Trispectrum and Bispectrum
T. Bakx, M. Garny, H. Rubira and Z. Vlah.
arXiv:2606.31280

Rapid cosmological inference with the two-loop matter power spectrum
T. Bakx, H. Rubira, N. E. Chisari and Z. Vlah.
arXiv:2508.00611 · Open Journal of Astrophysics

One-Loop Galaxy Bispectrum: Consistent Theory, Efficient Analysis with COBRA, and Implications for Cosmological Parameters
T. Bakx, M. M. Ivanov, O. H. E. Philcox and Z. Vlah.
arXiv:2507.22110

Two-loop renormalization and running of galaxy bias
T. Bakx, M. Garny, H. Rubira and Z. Vlah.
arXiv:2507.13905

Software

COBRA — public software for efficient calculations of cosmological observables.

30 June 2026 — New preprint on galaxy bias renormalization
Our latest preprint presents a consistent renormalized description of the two-loop galaxy power spectrum and the one-loop bispectrum and trispectrum in real space. Read the paper.

Zvonimir Vlah

Division of Theoretical Physics
Ruđer Bošković Institute
Bijenička cesta 54
10000 Zagreb,Croatia
Email: zvlah [at] irb [dot] hr