A new 'library' for Feynman integrals

Key Points:

• Researchers at Johannes Gutenberg University Mainz have developed a new method to order Feynman integrals based on their intrinsic geometric properties, significantly speeding up computational times by about 1,000 times.
• This advancement addresses a major bottleneck in making precise theoretical predictions for high-energy physics experiments, such as those conducted at the Large Hadron Collider.
• The team’s two-step algorithm first reduces integrals to a basis of master integrals with differential equations expressed as Laurent polynomials, then trivializes the dependence on the regularization parameter epsilon.
• By organizing integrals according to their geometric structure rather than ad-hoc linear algebraic ordering, the method enables automatic simplification of equations, allowing precision predictions for many more processes previously deemed infeasible.
• The researchers anticipate their approach will enhance theoretical predictions and inspire further advancements in the global high-energy physics community.