Renormalization of the axial current operator in dimensional regularization at four-loop in QCD
Sign Up to like & getrecommendations! Published in 2022 at "Journal of High Energy Physics"
DOI: 10.1007/jhep01(2022)187
Abstract: We provide the renormalization constants of the axial current operators, both singlet and non-singlet, in dimensional regularization up to four-loop order in (QCD), determined using the off-shell Ward-Takahashi identity for an axial current with a… read more here.
Keywords: current operator; four loop; axial current; regularization four ... See more keywords
Cluster adjacency and the four-loop NMHV heptagon
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep03(2019)087
Abstract: A bstractWe exploit the recently described property of cluster adjacency for scattering amplitudes in planar N=4$$ \mathcal{N}=4 $$ super Yang-Mills theory to construct the symbol of the four-loop NMHV heptagon amplitude. We use a manifestly… read more here.
Keywords: nmhv heptagon; loop nmhv; cluster adjacency; four loop ... See more keywords
Planar master integrals for four-loop form factors
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep05(2019)073
Abstract: A bstractWe present the complete set of planar master integrals relevant to the calculation of three-point functions in four-loop massless Quantum Chromodynamics. Employing direct parametric integrations for a basis of finite integrals, we give analytic… read more here.
Keywords: planar master; four loop; loop form; integrals four ... See more keywords
Four-loop QCD propagators and vertices with one vanishing external momentum
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2017)040
Abstract: A bstractWe have computed the self-energies and a set of three-particle vertex functions for massless QCD at the four-loop level in the MS¯$$ \overline{\mathrm{MS}} $$ renormalization scheme. The vertex functions are evaluated at points where… read more here.
Keywords: four loop; loop qcd; propagators vertices; loop ... See more keywords
Four-loop cusp anomalous dimension in QED
Sign Up to like & getrecommendations! Published in 2018 at "Journal of High Energy Physics"
DOI: 10.1007/jhep06(2018)073
Abstract: A bstractThe 4-loop CF3TFnl and 5-loop CF4TFnl terms in the HQET field anomalous dimension γh are calculated analytically (the 4-loop one agrees with the recent numerical result [1]). The 4-loop CF3TFnl and 5-loop CF4TFnl terms… read more here.
Keywords: four loop; anomalous dimension; cusp anomalous; dimension qed ... See more keywords
On the Casimir scaling violation in the cusp anomalous dimension at small angle
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2017)052
Abstract: A bstractWe compute the four-loop nf contribution proportional to the quartic Casimir of the QCD cusp anomalous dimension as an expansion for small cusp angle ϕ. This piece is gauge invariant, violates Casimir scaling, and… read more here.
Keywords: four loop; dimension; anomalous dimension; cusp anomalous ... See more keywords
Cutting massless four-loop propagators
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep12(2019)026
Abstract: Abstract Among the unitarity cuts of 4-loop massless propagators two kinds are currently fully known: the 2-particle cuts with 3 loops corresponding to form-factors, and the 5-particle phase-space integrals. In this paper we calculate master… read more here.
Keywords: particle cuts; four loop; cutting massless; loop propagators ... See more keywords
Quark and gluon form factors to four-loop order in QCD: The Nf3 contributions
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review D"
DOI: 10.1103/physrevd.95.034030
Abstract: We calculate the four-loop massless QCD corrections with three closed quark lines to quark and gluon form factors. We apply a novel integration by parts algorithm based on modular arithmetic and compute all relevant master… read more here.
Keywords: four loop; order qcd; quark gluon; form factors ... See more keywords
Stability of φ^{4}-vector model: Four-loop ε expansion study.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.107.024133
Abstract: In most papers, φ^{4}-field theory with the vector (d-component) field φ_{α} is considered as a particular case of the n-component field model for n=d and O(n) symmetry. However, in such a model the symmetry O(d)… read more here.
Keywords: stability vector; four loop; vector model; stability ... See more keywords
Cusp and Collinear Anomalous Dimensions in Four-Loop QCD from Form Factors.
Sign Up to like & getrecommendations! Published in 2020 at "Physical review letters"
DOI: 10.1103/physrevlett.124.162001
Abstract: We calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analytically from first principles. In addition, we determine the complete matter dependence of the quark and gluon collinear anomalous dimensions. Our… read more here.
Keywords: dimensions four; collinear anomalous; form factors; four loop ... See more keywords