Renormalization of the axial current operator in dimensional regularization at four-loop in QCD

Chen, Long; Czakon, Michał

doi:10.1007/jhep01(2022)187

Cited by 5 publications

(2 citation statements)

References 51 publications

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“…In addition to this, the renormalisation of the non-singlet axial-vector current requires multiplying the non-singlet contributions to the axial-vector form factors G i by the nonsinglet renormalisation constant, whose explicit value depends on the scheme used for treating γ 5 . In the Larin scheme, the latter is known up to four loops [44]. We only require its value up to two loops in our calculation:…”

Section: Jhep02(2023)041mentioning

confidence: 99%

Two-loop QCD corrections to the V → $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings

Gehrmann

Peraro

Tancredi

2023

J. High Energ. Phys.

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We compute the two-loop corrections to the helicity amplitudes for the coupling of a massive vector boson to a massless quark-antiquark pair and a gluon, accounting for vector and axial-vector couplings of the vector boson and distinguishing isospin non-singlet and singlet contributions. A new four-dimensional basis for the decomposition of the amplitudes into 12 invariant tensor structures is introduced. The associated form factors are then computed up to two loops in QCD using dimensional regularization. After performing renormalization and infrared subtraction, the finite parts of the renormalized non-singlet vector and axial-vector form factors are shown agree with each other, and to reproduce the previously known two-loop amplitudes. The singlet axial-vector amplitude receives a contribution from the axial anomaly from two loops onwards. This amplitude is computed for massless and massive internal quarks. Our results provide the last missing two-loop amplitudes entering the NNLO QCD corrections of vector-boson-plus-jet production at hadron colliders.

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Section: Jhep02(2023)041mentioning

confidence: 99%

Two-loop QCD corrections to the V → $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings

Gehrmann

Peraro

Tancredi

2023

J. High Energ. Phys.

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“…In order to recover the axial Ward-identity and taking into account the particular choice for the extension of 𝛾 5 into 𝑑 dimensions, we require the use of the two renormalization constants 𝑍 𝐴 and 𝑍 5 [23], which are known to up to four loops in the MS-scheme [24].…”

Section: Pos(radcor2023)057mentioning

confidence: 99%

Four-loop large-$n_f$ contributions to the non-singlet structure functions

Pelloni

2023

Proceedings of 16th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology — P

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We present the progress in the computation of the unpolarized coefficient functions for Deep inelastic scattering. This computation completes the previous results for 𝐹 2,𝐿 for large-𝑛 𝑓 with the computation of the contributions to the charged current 𝐹 3 . This additional structure function has contributions with color factor 𝑑 𝑎𝑏𝑐 𝑑 𝑎𝑏𝑐 , and represents an increase in complexity for the construction of the differential equations used for the generation of the Mellin moments.

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Two-loop helicity amplitudes for V+jet production including axial vector couplings to higher orders in ϵ

Gehrmann,

Jakubčík,

Mella

et al. 2023

J. High Energ. Phys.

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We compute the two-loop Quantum Chromodynamics (QCD) corrections to all partonic channels relevant for the production of an electroweak boson V = Z, W±, γ* and a jet at hadron colliders. We consider the decay of a vector boson V to three partons V → $$ q\overline{q}g $$ q q ¯ g , V → ggg with a vector and axial vector coupling in both channels, including singlet and non-singlet contributions. For the quark channel, we use a recent tensor decomposition and extend the calculation to $$ \mathcal{O} $$ O (ϵ2). For the gluonic channel, we define a new tensor decomposition which allows us to compute the vector and the axial vector amplitudes at once and to perform the computation of the amplitudes to $$ \mathcal{O} $$ O (ϵ2). We provide finite remainders of the helicity amplitudes analytically continued to all relevant scattering regions $$ q\overline{q} $$ q q ¯ → Vg, qg → Vq and gg → Vg. The axial vector contribution to the gluon-induced channel completes the set of two-loop amplitudes for this process, while the extension to $$ \mathcal{O} $$ O (ϵ2) represents the first step in the calculation of next-to-next-to-next-to-leading-order (N3LO) QCD corrections to Z+jet production at hadron colliders.

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Renormalization of the axial current operator in dimensional regularization at four-loop in QCD

Cited by 5 publications

References 51 publications

Two-loop QCD corrections to the V → $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings

Two-loop QCD corrections to the V → $$ q\overline{q}g $$ helicity amplitudes with axial-vector couplings

Four-loop large-$n_f$ contributions to the non-singlet structure functions

Two-loop helicity amplitudes for V+jet production including axial vector couplings to higher orders in ϵ

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