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Towards a Bootstrap approach to higher orders of epsilon expansion · Around

2017

Towards a Bootstrap approach to higher orders of epsilon expansion

Dey, Parijat, Kaviraj, Apratim

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We employ a hybrid approach in determining the anomalous dimension and OPE coefficient of higher spin operators in the Wilson-Fisher theory.

First we do a large spin analysis for CFT data where we use results obtained from the usual and the Mellin Bootstrap and also from Feynman diagram literature.
This gives new predictions at $O(\epsilon^4)$ and $O(\epsilon^5)$ for anomalous dimensions and OPE coefficients, and also provides a cross-check for the results from Mellin Bootstrap.
These higher orders get contributions from all higher spin operators in the crossed channel.

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