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

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.

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 Creators:
Ahmed, Taushif1, Author
Banerjee, Pulak1, Author
Chakraborty, Amlan1, Author
Dhani, Prasanna K.1, Author
Ravindran, V.1, Author
Affiliations:
1Max Planck Institute for Physics, Max Planck Society and Cooperation Partners, ou_2253650              

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Free keywords: Field Theory
 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.

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 Dates: 2020
 Publication Status: Issued
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Title: Physical Review D
  Abbreviation : Phys.Rev.D
Source Genre: Journal
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Pages: - Volume / Issue: 102 Sequence Number: - Start / End Page: 061701 Identifier: -