## Reference

- Mapping the shape of the scalar potential with gravitational waves

M. Chala, V. V. Khoze, M.Spannowsky and P. Waite

Int. J. Mod. Phys. A34 (2019)

arxiv: 1905.00911

## Description

The scalar potential can be that of the Standard Model Higgs field, or more generally of any scalar field responsible for a spontaneous symmetry breaking in beyond-the-Standard-Model settings that provide for a first-order phase transition in the early universe. Characteristics of the effective potential include the relative depth of the true minimum (Eα), the height of the barrier that separates it from the false one (Em) and the separation between the two minima in field space (v), all at the bubble nucleation temperature.

Our results do not only show the interplay between the global properties of the scalar potential and the GW stochastic background; they can be also used to compute the latter in an arbitrary model of new physics without necessarily solving for the bounce from scratch (see this reference for details and assumptions).

## Code and Usage Example

You can download the code here .

Each file is from an 200x200 scan in tilde(Em), tilde(Ea) from 0.1 to 10. The columns in the file are in the order tilde(Em), tilde(Ea), tilde(T_*), alpha, beta/H.

The number after each file name represents the value of aT which has been used: 01 = 0.1, 02 = 0.2, 05 = 0.5 and 1 = 1.

Only the values of beta/H are different between files. Unphysical values of beta/H, where the high temperature approximation isn't valid, are set to -1.

It includes a file with example code that explains how you can use our results.