# Imprints of local lightcone projection effects on the galaxy bispectrum. II

## TL;DR

This paper details the correction of the galaxy bispectrum for local lightcone projection effects, including Doppler, potential, lensing, magnification bias, and evolution bias, showing significant deviations from Newtonian predictions at certain scales.

## Contribution

It provides a comprehensive second-order correction to the galaxy bispectrum accounting for all local lightcone projection effects and biases, extending previous work.

## Key findings

- Correction to Newtonian bispectrum is ~30% at z~1 on equality scales.
- Includes second-order effects of magnification and evolution biases.
- Generalizes previous results to more accurately model observational data.

## Abstract

General relativistic imprints on the galaxy bispectrum arise from observational (or projection) effects. The lightcone projection effects include local contributions from Doppler and gravitational potential terms, as well as lensing and other integrated contributions. We recently presented for the first time, the correction to the galaxy bispectrum from all local lightcone projection effects up to second order in perturbations. Here we provide the details underlying this correction, together with further results and illustrations. For moderately squeezed shapes, the correction to the Newtonian prediction is ~30% on equality scales at z ~ 1. We generalise our recent results to include the contribution, up to second order, of magnification bias (which affects some of the local terms) and evolution bias.