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20212026
most citedSix-loop beta functions in general scalar theory

44 citations · 124 across the 11 of their papers we have counts for

collaborators

12 papers

hep-ph2026

NNLO -jettiness soft function for processes with massless and massive partons

Prem Agarwal, Kirill Melnikov, Ivan Pedron +1

We compute the NNLO QCD contribution to the -jettiness soft function for processes with two massive and an arbitrary number of massless final-state hard partons. The cancellatio…

hep-ph2025

Integral of the double-emission eikonal function for two massive emitters at an arbitrary angle

Ming-Ming Long, Kirill Melnikov, Andrey Pikelner

We present a semi-analytic calculation of the integrated double-emission eikonal function of two massive emitters whose momenta are at an arbitrary angle to each other. This result…

hep-ph2025★ 1 cited

Integral of the double-emission eikonal function for a massive and a massless emitter at an arbitrary angle

Dennis Horstmann, Kirill Melnikov, Ming-Ming Long +1

We present an analytic calculation of the integrated double-emission eikonal function of a massive and a massless emitter whose momenta are at an arbitrary angle to each other. Thi…

hep-ph2024★ 1 cited

Triple real-emission contribution to the zero-jettiness soft function at N3LO in QCD

Daniel Baranowski, Maximilian Delto, Kirill Melnikov +2

Recently, we have presented the result for the zero-jettiness soft function at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD [arXiv:2409.11042], without providin…

hep-ph2024★ 11 cited

Zero-jettiness soft function to third order in perturbative QCD

Daniel Baranowski, Maximilian Delto, Kirill Melnikov +2

We present the high-precision result for the zero-jettiness soft function at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD. At this perturbative order, the soft…

hep-ph2024★ 7 cited

One-loop corrections to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD

Daniel Baranowski, Maximilian Delto, Kirill Melnikov +2

We present an analytic calculation of the one-loop correction to the double-real emission contribution to the zero-jettiness soft function at N3LO in QCD, accounting for both gluon…

hep-th2022★ 6 cited

Gauge Invariance at Large Charge

Oleg Antipin, Alexander Bednyakov, Jahmall Bersini +2

Quantum field theories with global symmetries simplify considerably in the large-charge limit allowing to compute correlators via a semiclassical expansion in the inverse powers of…

hep-ph2022★ 7 cited

Four-loop QCD cusp anomalous dimension at small angle

Andrey G. Grozin, Roman N. Lee, Andrey F. Pikelner

We calculate the small angle expansion of the four-loop QCD cusp anomalous dimension. As a byproduct of our calculation, we also obtain the four-loop anomalous dimension of the hea…

hep-th2021★ 6 cited

Four-loop critical properties of polymerized membranes

Andrey Pikelner

We calculate four-loop order corrections to the critical exponent in the two-field model of flat phase membranes. Obtained results show better agreement with the other calculat…

hep-ph2021★ 36 cited

Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory

Alexander Bednyakov, Andrey Pikelner

We present the beta functions of gauge and Yukawa couplings in general four-dimensional quantum field theory, at four and three loops, respectively. The essence of our approach is…

hep-ph2021★ 5 cited

Three-loop vertex integrals at symmetric point

Andrey Pikelner

This paper provides details of the massless three-loop three-point integrals calculation at the symmetric point. Our work aimed to extend known two-loop results for such integrals…

hep-ph2021★ 44 cited

Six-loop beta functions in general scalar theory

Alexander Bednyakov, Andrey Pikelner

We consider general renormalizable scalar field theory and derive six-loop beta functions for all parameters in d = 4 dimensions within the -scheme. We do not explic…