Soft corrections to inclusive deep-inelastic scattering at four loops and beyond

Das, Goutam; Moch, S.; Vogt, A.

doi:10.1007/jhep03(2020)116

Cited by 45 publications

(54 citation statements)

References 71 publications

(153 reference statements)

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“…We find [15,19] (see also [17,24]), the result of [21] for the coefficient of the quartic Casimir invariant in Eq. (8), the result of [18] for the large-N c limit of the O N f terms of γ q 4 , and the very recent numerical estimate of the ǫ −1 pole of the full four-loop quark form factor [79]. Our results are in perfect agreement with the available literature.…”

Section: Resultssupporting

confidence: 89%

Cusp and Collinear Anomalous Dimensions in Four-Loop QCD from Form Factors

2020

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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 approach is to Laurent expand four-loop quark and gluon form factors in the parameter of dimensional regularization. We employ finite field and syzygy techniques to reduce the relevant Feynman integrals to a basis of finite integrals, and subsequently evaluate the basis integrals directly from their standard parametric representations.

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Section: Resultssupporting

confidence: 89%

Cusp and Collinear Anomalous Dimensions in Four-Loop QCD from Form Factors

2020

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“…The exponent is thus universal in the sense that it will only depend on the initial legs being gluons or quarks. The expressions for the resummed exponents g I i can be found in [77,120] up to N 3 LL order, also see [121] for N 4 LL order in DIS. For consistency, we have also derived the same and collected in the appendix B.2.…”

Section: Resummationmentioning

confidence: 79%

Resummed inclusive cross-section in ADD model at N3LL

Das

Kumar

Samanta

2020

J. High Energ. Phys.

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We present three loop soft-plus-virtual (SV) corrections to the spin-2 production at the Large Hadron Collider (LHC). For this calculation, we make use of the recently computed quark and gluon three loop form factors for the spin-2 production, the universal soft-collinear coefficients as well as the mass factorization kernels. The SV coefficients are presented up to next-to-next-to-next-to leading order (N3LOsv). We also use these coefficients at three loops to compute the resummed prediction for inclusive cross-section to next-to-next-to-next-to leading logarithmic accuracy (N3LL) matched to N3LOsv. We use the standard technique to derive the Mellin N-dependent coefficients and also the N-independent coefficients to achieve the resummation using the minimal prescription matching procedure. Considering the spin-2 propagator in the large extra dimensional (ADD) model, we also study the numerical impact of these three-loop SV corrections as well as the resummed predictions on the di-lepton invariant mass distribution at the 13 TeV LHC. We find that the conventional scale uncertainties in the N3LOsv +N3LL resummed results substantially get reduced to as low as 2% in the high invariant mass region. We also estimate the PDF uncertainties in our predictions that will be useful in the experimental searches for large extra dimensions.

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“…Hence the above relations between DIS and DY/Higgs manifest the aforementioned dependency. The results of the coefficients g c i (ω) are given in [127] andḡ c i (ω) and h ik (ω, N ) for DIS up to four loops are given in appendix C, D. For completeness we also provide them in the supplementary material file attached to this paper.…”

Section: Jhep04(2021)131mentioning

confidence: 99%

On next to soft threshold corrections to DIS and SIA processes

Ajjath

Mukherjee

Ravindran

et al. 2021

J. High Energ. Phys.

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We study the perturbative structure of threshold enhanced logarithms in the coefficient functions of deep inelastic scattering (DIS) and semi-inclusive e+e− annihilation (SIA) processes and setup a framework to sum them up to all orders in perturbation theory. Threshold logarithms show up as the distributions ((1−z)−1 logi(1−z))+ from the soft plus virtual (SV) and as logarithms logi(1−z) from next to SV (NSV) contributions. We use the Sudakov differential and the renormalisation group equations along with the factorisation properties of parton level cross sections to obtain the resummed result which predicts SV as well as next to SV contributions to all orders in strong coupling constant. In Mellin N space, we resum the large logarithms of the form logi(N) keeping 1/N corrections. In particular, the towers of logarithms, each of the form $$ {a}_s^n/{N}^{\alpha }{\log}^{2n-\alpha }(N),{a}_s^n/{N}^{\alpha }{\log}^{2n-1-\alpha }(N)\cdots $$ a s n / N α log 2 n − α N , a s n / N α log 2 n − 1 − α N ⋯ etc for α = 0, 1, are summed to all orders in as.

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Soft corrections to inclusive deep-inelastic scattering at four loops and beyond

Cited by 45 publications

References 71 publications

Cusp and Collinear Anomalous Dimensions in Four-Loop QCD from Form Factors

Cusp and Collinear Anomalous Dimensions in Four-Loop QCD from Form Factors

Resummed inclusive cross-section in ADD model at N3LL

On next to soft threshold corrections to DIS and SIA processes

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