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DOE OSTI · 2575048

Rational QCD loop amplitudes and quantum theories on twistor space

Dixon, Lance J. [SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford Univ., CA (United States)] (ORCID:0000000349857518)·Morales, Anthony [SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford Univ., CA (United States)] (ORCID:0009000054795206)
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Abstract

We show how curing an anomaly of the twistor uplift of self-dual Yang-Mills theory implies linear relations among one-loop, n-gluon, color-ordered subamplitudes in QCD, when all n gluon helicities are positive, or when exactly one is negative. We compute the number of linearly independent subamplitudes as determined by these relations, in terms of unsigned Stirling numbers. Then we use a momentum-twistor parametrization to show that there are no further linear dependencies.

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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSAnomalies in Field and String TheoriesCategory Theory, Homological AlgebraField Theory and PolynomialsGroup Theory and GeneralizationsHigher-Order Perturbative CalculationsMathematical PhysicsParticle PhysicsQuantum PhysicsScattering Amplitudes

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Dixon, Lance J. [SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford Univ., CA (United States)] (ORCID:0000000349857518), Morales, Anthony [SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford Univ., CA (United States)] (ORCID:0009000054795206). 2025-03-25. Rational QCD loop amplitudes and quantum theories on twistor space. https://doi.org/10.1007/jhep03(2025)188

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