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  Infrared structure of $\cal{N}=4$ SYM and leading transcendentality principle in gauge theory

Ahmed, T., Banerjee, P., Chakraborty, A., Dhani, P. K., Ravindran, V., & Seth, S. (2019). Infrared structure of $\cal{N}=4$ SYM and leading transcendentality principle in gauge theory. Proceedings of Science, 059.

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 Creators:
Ahmed, Taushif1, Author
Banerjee, Pulak1, Author
Chakraborty, Amlan1, Author
Dhani, Prasanna K.1, Author
Ravindran, V.1, Author
Seth, Satyajit1, 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 a detailed study on the infrared structure of N = 4 SYM and its connection to QCD. Calculation of collinear splitting functions helps to understand the structure and thus one can get infrared safe cross sections. We also demonstrate the factorization property that soft plus virtual part of the cross section satisfies and through factorization, we calculate soft distribution function up to third order in perturbation theory. We show that the soft distribution function is process independent that includes operators as well as external legs. In addition to this we compare our findings against the known results in QCD through principle of maximum transcendentality (PMT). We extend our analysis further for the case of three-point form factors involving stress tensor and find that it violates the PMT while comparing with the corresponding quantity in the standard model, observed for the first time at the level of form factor.

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 Dates: 2019
 Publication Status: Issued
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Title: Proceedings of Science
  Abbreviation : PoS
Source Genre: Journal
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 059 Identifier: -

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Title: RADCOR2019
Source Genre: Proceedings
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Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 059 Identifier: -