scholarly journals The three-loop form factor in $ \mathcal{N} = {4} $ super Yang-Mills

2012 ◽  
Vol 2012 (3) ◽  
Author(s):  
Thomas Gehrmann ◽  
Johannes M. Henn ◽  
Tobias Huber
Keyword(s):  
Form Factor ◽  
Yang Mills ◽  
Loop Form

scholarly journals The Sudakov form factor at four loops in maximal super Yang-Mills theory

2018 ◽  
Vol 2018 (1) ◽  
Author(s):  
Rutger H. Boels ◽  
Tobias Huber ◽  
Gang Yang
Keyword(s):  
Form Factor ◽  
Sudakov Form Factor ◽  
Yang Mills ◽  
Super Yang Mills Theory

scholarly journals A planar four-loop form factor in QCD

2016 ◽  
Author(s):  
Vladimir Smirnov ◽  
Johannes M. Henn ◽  
Alexander Smirnov ◽  
Matthias Steinhauser
Keyword(s):  
Form Factor ◽  
Loop Form

scholarly journals A planar four-loop form factor and cusp anomalous dimension in QCD

2016 ◽  
Vol 2016 (5) ◽  
Author(s):  
Johannes M. Henn ◽  
Alexander V. Smirnov ◽  
Vladimir A. Smirnov ◽  
Matthias Steinhauser
Keyword(s):  
Form Factor ◽  
Anomalous Dimension ◽  
Loop Form ◽  
Cusp Anomalous Dimension

scholarly journals Determinant Formula for the Octagon Form Factor in N=4 Supersymmetric Yang-Mills Theory

2019 ◽  
Vol 122 (23) ◽  
Author(s):  
Ivan Kostov ◽  
Valentina B. Petkova ◽  
Didina Serban
Keyword(s):  
Form Factor ◽  
Determinant Formula ◽  
Yang Mills

scholarly journals Massive three loop form factor in the planar limit

2018 ◽  
Author(s):  
Narayan Rana ◽  
Jakob Ablinger ◽  
Johannes Bluemlein ◽  
Peter Marquard ◽  
Carsten Schneider
Keyword(s):  
Form Factor ◽  
Planar Limit ◽  
Loop Form

scholarly journals Towards a four loop form factor

2016 ◽  
Author(s):  
Rutger Boels ◽  
Bernd Kniehl ◽  
Gang Yang
Keyword(s):  
Form Factor ◽  
Loop Form

scholarly journals On a four loop form factor in N=4

2016 ◽  
Author(s):  
Rutger Boels ◽  
Bernd Kniehl ◽  
Gang Yang
Keyword(s):  
Form Factor ◽  
Loop Form

scholarly journals A three-point form factor through five loops

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Lance J. Dixon ◽  
Andrew J. McLeod ◽  
Matthias Wilhelm
Keyword(s):  
Form Factor ◽  
Operator Product Expansion ◽  
Operator Product ◽  
Loop Order ◽  
Present Evidence ◽  
Yang Mills ◽  
High Loop ◽  
Transcendental Functions ◽  
Point Form ◽  
Super Yang Mills Theory

Abstract We bootstrap the three-point form factor of the chiral part of the stress­tensor supermultiplet in planar $$ \mathcal{N} $$ N = 4 super-Yang-Mills theory, obtaining new results at three, four, and five loops. Our construction employs known conditions on the first, second, and final entries of the symbol, combined with new multiple-final-entry conditions, “extended-Steinmann-like” conditions, and near-collinear data from the recently-developed form factor operator product expansion. Our results are expected to give the maximally transcendental parts of the gg → Hg and H → ggg amplitudes in the heavy-top limit of QCD. At two loops, the extended-Steinmann-like space of functions we describe contains all transcendental functions required for four-point amplitudes with one massive and three massless external legs, and all massless internal lines, including processes such as gg → Hg and γ* → $$ q\overline{q}g $$ q q ¯ g . We expect the extended-Steinmann-like space to contain these amplitudes at higher loops as well, although not to arbitrarily high loop order. We present evidence that the planar $$ \mathcal{N} $$ N = 4 three-point form factor can be placed in an even smaller space of functions, with no independent ζ values at weights two and three.

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