Skip to content
DraconiticResearch
Search Sources API
182,544 studies31 sourcesUpdated 16 min ago
PreprintCC BY 4.0arXiv

Walking Sudakov: From Cusp to Octagon

  • Luis F. Alday
  • Elisabetta Armanini
  • Andrei V. Belitsky
  • Kelian Häring
  • Alexander Zhiboedov
Open at sourcePDFDOICite

Abstract

We study the Sudakov form factor and the four-point scattering amplitude on the Coulomb branch of planar đť’©=4 SYM as functions of the Coulomb-branch parameters and kinematic invariants. This setup provides a controlled probe of the interpolation between on- and off-shell regimes of infrared-sensitive quantities in gauge theories. We identify a novel scaling limit in which both observables exhibit double-logarithmic behavior governed by a walking anomalous dimension. As the mass scales are varied, this walking anomalous dimension interpolates between the cusp anomalous dimension of the on-shell regime and the octagon anomalous dimension of the off-shell regime. Based on the explicit two-loop result and the expected all-order structure, we propose an all-loop form for the walking anomalous dimension both for the form factor and for the four-point scattering amplitude. These all-loop expressions depend on new, presently unknown functions of the 't Hooft coupling.

Related

  1. Interference-controlled magnetic bound states and subgap transport in a Square--octagon superconductor
    Ravi Kiran
    arXivPreprintCC BY 4.0Full textCondensed matterarXiv
  2. Evading Sudakov Dilution in Gluon Tomography
    Shuo Lin, Jian Zhou
    arXivPreprintCC BY 4.0Full textHigh-energy & particle physicsarXiv
  3. The QCD Trace Anomaly in Pion Gravitational Form Factors with Sudakov Resummation
    Claudio Corianò, Dario Melle, Leonardo Torcellini
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  4. Resonance-aware electroweak Sudakov reweighting for multijet-merged predictions
    Lenart Jerala, Rikkert Frederix, Miha Muškinja +3
    arXivPreprintarXiv licenceFull textHigh-energy & particle physicsarXiv
  5. The full strong-coupling expansion of the cusp anomalous dimension and the O(6) mass gap
    Zoltan Bajnok, Bercel Boldis, Dennis le Plat
    Physics Letters BPeer-reviewedCC BY 4.0Full textHigh-energy & particle physicsCrossref

Cite

BibTeXRIS
BibTeX
@misc{alday2026walking,
  title = {{Walking Sudakov: From Cusp to Octagon}},
  author = {Luis F. Alday and Elisabetta Armanini and Andrei V. Belitsky and Kelian Häring and Alexander Zhiboedov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2605.16034},
  eprint = {2605.16034},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2605.16034},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Walking Sudakov: From Cusp to Octagon
AU  - Luis F. Alday
AU  - Elisabetta Armanini
AU  - Andrei V. Belitsky
AU  - Kelian Häring
AU  - Alexander Zhiboedov
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2605.16034
UR  - https://arxiv.org/abs/2605.16034
AB  - We study the Sudakov form factor and the four-point scattering amplitude on the Coulomb branch of planar đť’©=4 SYM as functions of the Coulomb-branch parameters and kinematic invariants. This setup provides a controlled probe of the interpolation between on- and off-shell regimes of infrared-sensitive quantities in gauge theories. We identify a novel scaling limit in which both observables exhibit double-logarithmic behavior governed by a walking anomalous dimension. As the mass scales are varied, this walking anomalous dimension interpolates between the cusp anomalous dimension of the on-shell regime and the octagon anomalous dimension of the off-shell regime. Based on the explicit two-loop result and the expected all-order structure, we propose an all-loop form for the walking anomalous dimension both for the form factor and for the four-point scattering amplitude. These all-loop expressions depend on new, presently unknown functions of the 't Hooft coupling.
ER  -