# Searching for Bispectrum of Stochastic Gravitational Waves with Pulsar Timing Arrays

## TL;DR

This paper explores methods to detect the bispectrum of stochastic gravitational waves using pulsar timing arrays, aiming to uncover information about their origins and inflation models.

## Contribution

It introduces a filter function for three-point correlations and discusses strategies for detecting bispectra with multiple pulsars.

## Key findings

- Developed a filter function for bispectrum extraction
- Calculated overlap reduction functions for pulsar arrays
- Proposed detection strategies for bispectra

## Abstract

We study how to probe bispectra of stochastic gravitational waves with pulsar timing arrays. The bispectrum is a key to probe the origin of stochastic gravitational waves. In particular, the shape of the bispectrum carries valuable information of inflation models. We show that an appropriate filter function for three point correlations enables us to extract a specific configuration of momentum triangles in bispectra. We also calculate the overlap reduction functions and discuss strategy for detecting the bispectrum with multiple pulsars.