# Quantum gravity corrections to the conformally coupled scalar self-mass-squared on de Sitter II: kinetic-conformal cross terms

## TL;DR

This paper computes quantum corrections to a conformally coupled scalar field in de Sitter space, focusing on kinetic and conformal interactions, to understand graviton effects during inflation.

## Contribution

It completes the one-loop scalar self-mass squared calculation by including kinetic-kinetic and kinetic-conformal terms, advancing the understanding of quantum effects in inflationary cosmology.

## Key findings

- Calculated the full scalar self-mass squared at one loop in de Sitter.
- Renormalized results using dimensional regularization and counterterms.
- Prepared the framework for studying quantum corrections to scalar field equations during inflation.

## Abstract

The present work is the second part of a series of computations for the self-mass-squared of the conformally coupled (CC) scalar interacting with gravitons. This work includes the kinetic-kinetic and kinetic-conformal parts, and thus completes the full scalar self-mass squared at one loop order in de Sitter background when combined with the conformal-conformal part previously evaluated. We use dimensional regularization and renormalize the results by subtracting appropriate counterterms. The self-mass squared is finally ready to quantum-correct the CC scalar field equation so that one can study the effect of inflationary produced gravitons on the CC scalar and its observational consequences.