Localization yields all-loop leading-ε results for two-point functions in 4-2ε SYM that agree with flat-space perturbation at O(ε) and motivate a conjecture for the dimension-two operator at O(ε²).
Five-loop massless propagator integrals
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abstract
We develop a method to obtain $\epsilon$-expansions of massless two-point integrals in position space, based on the constraints implied by symmetries of the asymptotic expansion of conformal four-point integrals. Together with parametric integration, we are able to fix the expansions of 170 genuine five-loop master integrals. In particular, we computed the expansions of all planar master integrals up to transcendental weight 9.
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Four-loop anomalous dimensions of φ^Q in scalar-QED are obtained via OPE, with beta functions and mass/field anomalous dimensions, validating OPE beyond pure scalar theories.
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Two-point functions in $4-2\,\varepsilon$ dimensions from localization
Localization yields all-loop leading-ε results for two-point functions in 4-2ε SYM that agree with flat-space perturbation at O(ε) and motivate a conjecture for the dimension-two operator at O(ε²).
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Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion
Four-loop anomalous dimensions of φ^Q in scalar-QED are obtained via OPE, with beta functions and mass/field anomalous dimensions, validating OPE beyond pure scalar theories.