Three loops matter power spectrum calculation using effective field theory

• Grant number: 17/09951-9
• Support Opportunities: Scholarships abroad - Research Internship - Master's degree
• Start date: September 24, 2017
• End date: December 23, 2017
• Field of knowledge: Physical Sciences and Mathematics - Physics
• Principal Investigator: Marcos Vinicius Borges Teixeira Lima
• Grantee: Henrique Rubira
• Supervisor: Thomas Markus Konstandin
• Host Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Helmholtz Association, Germany
• Associated to the scholarship: 16/08700-0 - Effective field theory in large scale structure and 3 point correlation function calculus in the Dark Energy Survey, BP.MS

Abstract

The next generation of cosmological surveys will probe the Large Scale Structure of the universe with high precision. For constraining cosmology, it is crucial to improve the calculation of the theoretical matter power spectrum and bispectrum at non-linear scales. Standard Perturbation Theory (SPT) uses a series expansion in the matter field to solve the Navier-Stokes equations order by order. But SPT has serious divergence problems that compromise their predictions. Effective Field Theory (EFT) fixes the SPT problems by inserting counterterms that embrace small-scale UV effects. The consequence is that EFT -- which to date has been worked out at the 2 loop level -- can predict the non-linearities much better than SPT. In this BEPE project at DESY, in Hamburg, we intend to calculate the 3 loop EFT. It will allow us to go further to smaller scales in the theoretical calculations of the power spectrum -- scales on which the next generation surveys will provide consistent observations. The BEPE's financial support to the studies in DESY will allow for a close collaboration with Dr. Thomas Konstandin's group. Dr. Konstandin is one of the leading experts in this field, and has worked on the 3 loop Standard Perturbation Theory work. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

KONSTANDIN, THOMAS; PORTO, RAFAEL A.; RUBIRA, HENRIQUE. The effective field theory of large scale structure at three loops. Journal of Cosmology and Astroparticle Physics, v. N/A, n. 11, p. 26-pg., 2019-11-01. (17/09951-9, 16/08700-0)

KONSTANDIN, THOMAS; PORTO, RAFAEL A.; RUBIRA, HENRIQUE. The effective field theory of large scale structure at three loops. Journal of Cosmology and Astroparticle Physics, n. 11, NOV 2019. (17/09951-9, 16/08700-0)