mbruno46 / wicham

A Mathematica library to compute the running of the Wilson coefficients for the Weak Hamiltonian

WiCHam

A Mathematica library to compute the running of the Wilson coefficients for the Weak Hamiltonian

• Documentation
• Examples: tests
• Source code
• Bug reports: https://github.com/mbruno46/WiCHam/issues

Citation

This library implements the results derived in Weak decays beyond leading logarithms.

If you use this library in your publication cite this article.

Authors

Mattia Bruno, Copyright (c) 2016-2024

Setup

• Download the git repository and place the directory WiCHam in your home

• Add the following line to your Mathematica notebook file

Get["/path/to/WiCHam/WiCHam.m"]

Example

To compute the Wilson Coefficients at some scale mu to LO type in your notebook

a1 = value_of_alpha_strong_at_weak_scale;
loop_alpha = 1;
z = ComputeZ[mu,a1,loop_alpha];
ReduceOrder[z,"LO"]

y = ComputeY[z,mu,a1,loop_alpha];
ReduceOrder[y,"LO"]

The notebook file work.nb is ready for a calculation, just use it!

Tests

Several results presented in the main Reference above are correctly reproduced and checked. In particular LO and NLO evaluations of the Wilson Coefficients in Tables X, XVIII and XX.