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Form factors with two-operator insertion and violation of transcendentality principles

MPS-Authors

Ahmed,  Taushif
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Banerjee,  Pulak
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Chakraborty,  Amlan
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Dhani,  Prasanna K.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

Ravindran,  V.
Max Planck Institute for Physics, Max Planck Society and Cooperation Partners;

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Citation

Ahmed, T., Banerjee, P., Chakraborty, A., Dhani, P. K., & Ravindran, V. (2020). Form factors with two-operator insertion and violation of transcendentality principles. Physical Review D, 102, 061701. Retrieved from https://publications.mppmu.mpg.de/?action=search&mpi=MPP-2019-232.


Cite as: https://hdl.handle.net/21.11116/0000-0008-1ADB-5
Abstract
We present the first calculations of two-point two-loop form factors (FFs) with two identical operators insertion of supersymmetry protected half-BPS primary and unprotected Konishi in ${\cal N}=4$ supersymmetric Yang-Mills theory. To our surprise, the principle of maximal transcendentality which dictates the presence of identical highest weight terms in the scalar FFs of half-BPS and quark/gluon FFs in QCD is found to be violated. The conjecture that the FFs of half-BPS operator contain terms of uniform transcendentality weight is also found to break down. Moreover, the highest weight terms of half-BPS and Konishi FFs no longer match. The finite parts of FFs are also found not to exponentiate in contrast to the case of two-loop scalar FF of single half-BPS operator.