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  1. Article

    Open Access

    Erratum to: Soft gluon emission at two loops in full color

    Lance J. Dixon, Enrico Herrmann, Kai Yan, Hua **ng Zhu in Journal of High Energy Physics (2024)

  2. Article

    Open Access

    An eight loop amplitude via antipodal duality

    We compute the six-particle maximally-helicity-violating (MHV) amplitude in planar N $$ \m...

    Lance J. Dixon, Yu-Ting Liu in Journal of High Energy Physics (2023)

  3. Article

    Open Access

    One-loop central-emission vertex for two gluons in \( \mathcal{N} \) = 4 super Yang-Mills theory

    A necessary ingredient for extending the BFKL equation to next-to-next-to-leading logarithmic (NNLL) accuracy is the one-loop central emission vertex (CEV) for two gluons which are not strongly ordered in rapi...

    Emmet P. Byrne, Vittorio Del Duca, Lance J. Dixon in Journal of High Energy Physics (2022)

  4. Article

    Open Access

    Bootstrap** a stress-tensor form factor through eight loops

    We bootstrap the three-point form factor of the chiral stress-tensor multiplet in planar N ...

    Lance J. Dixon, Ömer Gürdoğan, Andrew J. McLeod in Journal of High Energy Physics (2022)

  5. Article

    Open Access

    Heptagon functions and seven-gluon amplitudes in multi-Regge kinematics

    We compute all 2 → 5 gluon scattering amplitudes in planar N \( \mathcal{N} \) ...

    Lance J. Dixon, Yu-Ting Liu, Julian Miczajka in Journal of High Energy Physics (2021)

  6. Article

    Open Access

    Fishnet four-point integrals: integrable representations and thermodynamic limits

    We consider four-point integrals arising in the planar limit of the conformal “fishnet” theory in four dimensions. They define a two-parameter family of higher-loop Feynman integrals, which extend the series o...

    Benjamin Basso, Lance J. Dixon, David A. Kosower in Journal of High Energy Physics (2021)

  7. Article

    Open Access

    A three-point form factor through five loops

    We bootstrap the three-point form factor of the chiral part of the stress­tensor supermultiplet in planar N ...

    Lance J. Dixon, Andrew J. McLeod, Matthias Wilhelm in Journal of High Energy Physics (2021)

  8. Article

    Open Access

    Lifting heptagon symbols to functions

    Seven-point amplitudes in planar N \( \mathcal{N} \) = 4 super-Yang-Mills t...

    Lance J. Dixon, Yu-Ting Liu in Journal of High Energy Physics (2020)

  9. Article

    Open Access

    Soft gluon emission at two loops in full color

    The soft emission factor is a central ingredient in the factorization of generic n-particle gauge theory amplitudes with one soft gluon in the external state. We present the complete two-loop soft factor, capturi...

    Lance J. Dixon, Enrico Herrmann, Kai Yan, Hua **ng Zhu in Journal of High Energy Physics (2020)

  10. Article

    Open Access

    The cosmic Galois group and extended Steinmann relations for planar \( \mathcal{N} \) = 4 SYM amplitudes

    We describe the minimal space of polylogarithmic functions that is required to express the six-particle amplitude in planar ...

    Simon Caron-Huot, Lance J. Dixon, Falko Dulat in Journal of High Energy Physics (2019)

  11. Article

    Open Access

    Six-Gluon amplitudes in planar \( \mathcal{N} \) = 4 super-Yang-Mills theory at six and seven loops

    We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops, respectively, as an appl...

    Simon Caron-Huot, Lance J. Dixon, Falko Dulat in Journal of High Energy Physics (2019)

  12. Article

    Open Access

    The two-loop five-point amplitude in \( \mathcal{N} \) = 8 supergravity

    We compute the symbol of the two-loop five-point amplitude in N ...

    Samuel Abreu, Lance J. Dixon, Enrico Herrmann, Ben Page in Journal of High Energy Physics (2019)

  13. Article

    Open Access

    The double pentaladder integral to all orders

    We compute dual-conformally invariant ladder integrals that are capped off by pentagons at each end of the ladder. Such integrals appear in six-point amplitudes in planar

    Simon Caron-Huot, Lance J. Dixon, Matt von Hippel in Journal of High Energy Physics (2018)

  14. Article

    Open Access

    The principle of maximal transcendentality and the four-loop collinear anomalous dimension

    We use the principle of maximal transcendentality and the universal nature of subleading infrared poles to extract the analytic value of the four-loop collinear anomalous dimension in planar

    Lance J. Dixon in Journal of High Energy Physics (2018)

  15. Article

    Open Access

    Heptagons from the Steinmann cluster bootstrap

    We reformulate the heptagon cluster bootstrap to take advantage of the Steinmann relations, which require certain double discontinuities of any amplitude to vanish. These constraints vastly reduce the number o...

    Lance J. Dixon, James Drummond, Thomas Harrington in Journal of High Energy Physics (2017)

  16. Article

    Open Access

    Multi-loop positivity of the planar \( \mathcal{N} \) = 4 SYM six-point amplitude

    We study the six-point NMHV ratio function in planar N ...

    Lance J. Dixon, Matt von Hippel, Andrew J. McLeod in Journal of High Energy Physics (2017)

  17. Article

    Open Access

    Erratum to: All orders results for self-crossing Wilson loops mimicking double parton scattering

    Lance J. Dixon, Ilya Esterlis in Journal of High Energy Physics (2016)

  18. Article

    Open Access

    All orders results for self-crossing Wilson loops mimicking double parton scattering

    Loop-level scattering amplitudes for massless particles have singularities in regions where tree amplitudes are perfectly smooth. For example, a 2 → 4 gluon scattering process has a singularity in which each i...

    Lance J. Dixon, Ilya Esterlis in Journal of High Energy Physics (2016)

  19. Article

    Open Access

    The four-loop six-gluon NMHV ratio function

    We use the hexagon function bootstrap to compute the ratio function which characterizes the next-to-maximally-helicity-violating (NMHV) six-point amplitude in planar

    Lance J. Dixon, Matt von Hippel, Andrew J. McLeod in Journal of High Energy Physics (2016)

  20. Article

    Open Access

    Bootstrap** an NMHV amplitude through three loops

    We extend the hexagon function bootstrap to the next-to-maximally-helicity-violating (NMHV) configuration for six-point scattering in planar ...

    Lance J. Dixon, Matt von Hippel in Journal of High Energy Physics (2014)

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