Papers for

collider phenomenology teams

Papers whose findings have a practical use for this group, as judged from the abstract. Open a paper to read what it means in practice.

Advanced techniques solve complex equations in particle physics calculations

Holonomic techniques for massive 3-loop form factors: the gluonic case

Abstract: Massive three-loop form factors for vector, axial-vector, scalar, and pseudoscalar currents are vital for precision collider phenomenology. Extending the quarkonic framework to the more complex gluonic case, in Ref. (arXiv:2609.22034 [hep-ph]) we computed these contributions widely using advanced computer algebra, automated guessing, and large-scale PSLQ searches. Here, we outline the core strategy of the large-moment method and illustrate its main challenges, including solving record-sized recurrences and differential equations. Our high-precision evaluation provides an exact analytic representation around $s=0$ in terms of MZVs. We achieved a complete analytic series expansion around $s=\pm\infty$ for the first time, which depends on MZVs and three constants out of higher number spaces, along with reliable analytic continuations across $s \in (-\infty, \infty)$, serving as a landmark benchmark for modern symbolic computation.

Mon 21 SeptSymbolic Computation

The gist

Calculations involving how particles like gluons behave are very complex but important for understanding particle collisions precisely. The authors extended previous methods used for quarks to handle the more difficult gluon case using powerful computer tools. They managed to find exact mathematical expressions and series expansions that describe these particles’ behaviors across a wide range of conditions. This work provides a valuable benchmark for future symbolic computations in high-energy physics.

Open → 2609.24279v1