The Virgo - MiniGRAIL cross correlation for the detection of scalar gravitational waves

TL;DR

This paper investigates the potential for detecting scalar gravitational waves by analyzing the cross correlation between the Virgo interferometer and the MiniGRAIL resonant sphere, focusing on their overlap reduction function and sensitivity range.

Contribution

It provides a detailed analysis of the cross correlation between Virgo and MiniGRAIL for scalar gravitational wave detection, highlighting the frequency-dependent overlap reduction function.

Findings

Overlap reduction function is very small overall.

Maximum correlation occurs around 2710Hz.

Frequency range of MiniGRAIL sensitivity is relevant for detection.

Abstract

After a review of the frequency - dependent angular pattern of interferometers in the TT gauge for scalar gravitational waves (SGWs), which has been recently analysed by Capozziello and Corda, in this letter the result is used to study the cross correlation between the Virgo interferometer and the MiniGRAIL resonant sphere. It is shown that the overlap reduction function for the cross correlation bewteen Virgo and the monopole mode of MiniGRAIL is very small, but a maximum is also found in the correlation at about 2710Hz, in the range of the MiniGRAIL sensitivity