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Three loops matter power spectrum calculation using effective field theory

Grant number: 17/09951-9
Support type:Scholarships abroad - Research Internship - Master's degree
Effective date (Start): September 24, 2017
Effective date (End): December 23, 2017
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Marcos Vinicius Borges Teixeira Lima
Grantee:Henrique Rubira
Supervisor abroad: Thomas Markus Konstandin
Home Institution: Instituto de Física (IF). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Local de pesquisa : 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


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)

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