Folding Amplitudes into Form Factors: An Antipodal Duality
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Folding Amplitudes into Form Factors : An Antipodal Duality. / Dixon, Lance J.; Gurdogan, Omer; McLeod, Andrew J.; Wilhelm, Matthias.
In: Physical Review Letters, Vol. 128, No. 11, 111602, 15.03.2022.Research output: Contribution to journal › Letter › Research › peer-review
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TY - JOUR
T1 - Folding Amplitudes into Form Factors
T2 - An Antipodal Duality
AU - Dixon, Lance J.
AU - Gurdogan, Omer
AU - McLeod, Andrew J.
AU - Wilhelm, Matthias
PY - 2022/3/15
Y1 - 2022/3/15
N2 - We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar N = 4 super-Yang-Mills theory is dual to the six-gluon MHV amplitude on its parity-preserving surface. Up to a simple variable substitution, the map between these two quantities is given by the antipode operation defined on polylogarithms (as part of their Hopf algebra structure), which acts at symbol level by reversing the order of letters in each term. We provide evidence for this duality through seven loops.
AB - We observe that the three-gluon form factor of the chiral part of the stress-tensor multiplet in planar N = 4 super-Yang-Mills theory is dual to the six-gluon MHV amplitude on its parity-preserving surface. Up to a simple variable substitution, the map between these two quantities is given by the antipode operation defined on polylogarithms (as part of their Hopf algebra structure), which acts at symbol level by reversing the order of letters in each term. We provide evidence for this duality through seven loops.
KW - YANG-MILLS
KW - PENTAGONS
KW - LOOPS
U2 - 10.1103/PhysRevLett.128.111602
DO - 10.1103/PhysRevLett.128.111602
M3 - Letter
C2 - 35363002
VL - 128
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 11
M1 - 111602
ER -
ID: 302378964