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Towards a four-loop form factor

Jan 14, 2016

9 pages

Part of Proceedings, 12th International Symposium on Radiative Corrections (Radcor 2015) and LoopFest XIV (Radiative Corrections for the LHC and Future Colliders) : Los Angeles, CA, USA, June 15-19, 2015, 110

Published in:

PoS RADCOR2015 (2016) 110

Contribution to:

- RADCOR 2015
, 110

Published: Jan 14, 2016 by SISSA

e-Print:

1601.04432 [hep-th]

DOI:

10.22323/1.235.0110

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ADS Abstract Service

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Abstract: (arXiv)

The four-loop, two-point form factor contains the first non-planar correction to the lightlike cusp anomalous dimension. This anomalous dimension is a universal function which appears in many applications. Its planar part in N = 4 SYM is known, in principle, exactly from AdS/CFT and integrability while its non-planar part has been conjectured to vanish. The integrand of the form factor of the stress-tensor multiplet in N = 4 SYM including the non-planar part was obtained in previous work. We parametrise the difficulty of integrating this integrand. We have obtained a basis of master integrals for all integrals in the four-loop, two-point class in two ways. First, we computed an IBP reduction of the integrand of the N = 4 form factor using massive computer algebra (Reduze). Second, we computed a list of master integrals based on methods of the Mint package, suitably extended using Macaulay2 / Singular. The master integrals obtained in both ways are consistent with some minor exceptions. The second method indicates that the master integrals apply beyond N = 4 SYM, in particular to QCD. The numerical integration of several of the master integrals will be reported and remaining obstacles will be outlined

Note:

9 Pages, Radcor/Loopfest 2015 Proceedings

computer: algebra
master integral
form factor
anomalous dimension
quantum chromodynamics
AdS/CFT correspondence
integrability
multiplet

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Figures(0)

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