We present methods for the numerical evaluation of the master integrals that arise in the calculation of scattering amplitudes at higher order in perturbative quantum field theory. We follow the general strategy of solving first-order ordinary differential equations through series expansion. We have collected these procedures in an open source computer program called LINE. Boundary conditions can be provided by the user or computed internally using the method of expansion by regions. Illustrative examples are also given.
LINE: Loop Integrals Numerical Evaluation / Prisco, R.M., Ronca, J., Tramontano, F.. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2025:7(2025). [10.1007/jhep07(2025)219]
LINE: Loop Integrals Numerical Evaluation
Prisco, Renato Maria;Ronca, Jonathan;Tramontano, Francesco
2025
Abstract
We present methods for the numerical evaluation of the master integrals that arise in the calculation of scattering amplitudes at higher order in perturbative quantum field theory. We follow the general strategy of solving first-order ordinary differential equations through series expansion. We have collected these procedures in an open source computer program called LINE. Boundary conditions can be provided by the user or computed internally using the method of expansion by regions. Illustrative examples are also given.| File | Dimensione | Formato | |
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