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23–26 Sept 2025
DESY Hamburg
Europe/Berlin timezone

Cluster Algebraic letters 5- and 6-point QCD processes

24 Sept 2025, 14:00
15m
Bldg. 2a, seminar room 2 (DESY)

Bldg. 2a, seminar room 2

DESY

Strings & Mathematical Physics Parallel Sessions Wednesday String

Speaker

Rigers Aliaj (UNI/TH (Uni Hamburg, Institut fuer Theoretische Physik))

Description

By breaking dual conformal invariance, we transform cluster-algebraic predic-
tions for the alphabet of 9-point amplitudes in N = 4 super Yang-Mills theory to analogous
predictions for 5- and 6-point processes in QCD. We start by obtaining, for the first time,
candidate letters for 6-point processes with one massive external leg, and confirm that
they essentially contain those of all 1-loop integrals with these kinematics. Taking the
limit where the massive leg becomes massless, we then reproduce the 167 letters recently
argued to suffice for the finite part of planar 2-loop amplitudes for 6-point massless QCD
processes, and further predict another 14 letters that might appear at higher loops. Similarly,
we analyse the 5-point 2-mass case, where we manage to match with almost all known letters known by direct Feynman Integral computations. Finally, we comment on positivity properties of these letters.

Primary author

Rigers Aliaj (UNI/TH (Uni Hamburg, Institut fuer Theoretische Physik))

Co-authors

Gabriele Dian (T (Stringtheory)) Georgios Papathanasiou (T (Stringtheory))

Presentation materials