Regularization scheme dependence of the counterterms in the galaxy bias expansion
Abstract
In this paper we explore how different regularization prescriptions affect the counterterms in the renormalization of the galaxy bias expansion. We work in the context of primordial local non-Gaussianity including non-linear gravitational evolution. We carry out the one-loop renormalization of the field δ²_ρ (i.e. the square of the matter overdensity field) up to third order in gravitational evolution. Three regularization schemes are considered and their impact on the values of the counterterms is studied. We explicitly verify that the coefficients of the non-boost invariant operators are regularization scheme independent.
Copyright and License
© 2023 The Author(s). Published by IOP Publishing Ltd on behalf of Sissa Medialab. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
Acknowledgement
We thank the referee who made important comments on the first version of this paper. This material is based upon work supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632. We are also grateful for the support provided by the Walter Burke Institute for Theoretical Physics.
Files
| Name | Size | Download all |
|---|---|---|
|
md5:76d671f5dd688f7030812c6de3520f22
|
769.1 kB | Preview Download |
Additional details
- United States Department of Energy
- DE-SC0011632
- California Institute of Technology
- Walter Burke Institute for Theoretical Physics
- Caltech groups
- Walter Burke Institute for Theoretical Physics