Four-loop collinear anomalous dimensions in QCD and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="script">N</mml:mi><mml:mo linebreak="goodbreak" linebreakstyle="after">=</mml:mo><mml:mn>4</mml:mn></mml:math> super Yang-Mills

Agarwal, Bakul; Manteuffel, Andreas von; Panzer, Erik; Schabinger, Robert M.

doi:10.1016/j.physletb.2021.136503

Cited by 47 publications

(27 citation statements)

References 40 publications

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“…At four-loops, there is also N c -subleading contribution to these anomalous dimensions, see e.g. [145][146][147][148][149][150]. We can compare the above convention with the Sudakov form factor result in [93]: Next, we provide some details on the calculation from (5.5) to (5.6).…”

Section: Ir Conventions and Non-dipole Termsmentioning

confidence: 97%

Full-color three-loop three-point form factors in 𝒩 = 4 SYM

Lin

Yang

Zhang

2022

J. High Energ. Phys.

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We present the detailed computation of full-color three-loop three-point form factors of both the stress-tensor supermultiplet and a length-three BPS operator in 𝒩 = 4 SYM. The integrands are constructed based on the color-kinematics (CK) duality and generalized unitarity method. An interesting observation is that the CK-dual integrands contain a large number of free parameters. We discuss the origin of these free parameters in detail and check that they cancel in the simplified integrands. We further perform the numerical evaluation of the integrals at a special kinematics point using public packages FIESTA and pySecDec based on the sector-decomposition approach. We find that the numerical computation can be significantly simplified by expressing the integrals in terms of uniformly transcendental basis, although the final three-loop computations still require large computational resources. Having the full-color numerical results, we verify that the non-planar infrared divergences reproduce the non-dipole structures, which firstly appear at three loops. As for the finite remainder functions, we check that the numerical planar remainder for the stress-tensor supermultiplet is consistent with the known result of the bootstrap computation. We also obtain for the first time the numerical results of the three-loop non-planar remainder for the stress-tensor supermultiplet as well as the three-loop remainder for the length-three operator.

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Section: Ir Conventions and Non-dipole Termsmentioning

confidence: 97%

Full-color three-loop three-point form factors in 𝒩 = 4 SYM

Lin

Yang

Zhang

2022

J. High Energ. Phys.

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“…with T a i the i-th particle SU(N c ) generator and from now on we use the shorthand α s = α s (µ) to indicate the renormalised coupling at scale µ. The constants γ cusp [121][122][123][124][125][126][127] and γ i [128][129][130][131] are given in appendix B. It is also useful to define the expansions…”

Section: Jhep10(2021)206mentioning

confidence: 99%

Three-loop helicity amplitudes for four-quark scattering in massless QCD

Caola

Chakraborty

Gambuti

et al. 2021

J. High Energ. Phys.

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We compute the three-loop corrections to the helicity amplitudes for q$$ \overline{q} $$ q ¯ → Q$$ \overline{Q} $$ Q ¯ scattering in massless QCD. In the Lorentz decomposition of the scattering amplitude we avoid evanescent Lorentz structures and map the corresponding form factors directly to the physical helicity amplitudes. We reduce the amplitudes to master integrals and express them in terms of harmonic polylogarithms. The renormalised amplitudes exhibit infrared divergences of dipole and quadrupole type, as predicted by previous work on the infrared structure of multileg scattering amplitudes. We derive the finite remainders and present explicit results for all relevant partonic channels, both for equal and different quark flavours.

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“…where Γ cusp i and γ i are, respectively, the cusp [37][38][39][40][41][42][43][44] and the collinear anomalous dimensions of parton i [43][44][45][46][47][48]. The reduced NNLL amplitude takes the form [27,28]:…”

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confidence: 99%

Disentangling the Regge cut and Regge pole in perturbative QCD

Falcioni,

Gardi,

Maher

et al. 2021

Preprint

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Four-loop collinear anomalous dimensions in QCD and N=4 super Yang-Mills

Cited by 47 publications

References 40 publications

Full-color three-loop three-point form factors in 𝒩 = 4 SYM

Full-color three-loop three-point form factors in 𝒩 = 4 SYM

Three-loop helicity amplitudes for four-quark scattering in massless QCD

Disentangling the Regge cut and Regge pole in perturbative QCD

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