Higgs boson production at the LHC using the qT subtraction formalism at N3LO QCD

Cieri, Leandro; Chen, Xuan; Gehrmann, Thomas; Glover, E. W. N.; Huss, A.

doi:10.1007/jhep02(2019)096

Cited by 123 publications

(178 citation statements)

References 133 publications

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“…Our results represent the last missing ingredient for generalizing q T subtraction [84] to N 3 LO, see also Refs. [41,73]. We note that there has also been progress in calculating beam function for beam thrust [85], where leading color contribution at N 3 LO is available very recently [86].…”

Section: Discussionmentioning

confidence: 99%

Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order

et al. 2020

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We report a calculation of the perturbative matching coefficients for the transverse-momentumdependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of non-standard Feynman integrals with rapidity divergence. We introduce a set of generalized Integration-By-Parts equations, which allows an algorithmic evaluation of such integrals using the machinery of modern Feynman integral calculation.

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Section: Discussionmentioning

confidence: 99%

Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order

et al. 2020

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“…Traditionally, the computation of these two components is performed using very different approaches and the deep connection relating their degenerate infrared degrees of freedom is only realised through dimensional regularisation [3][4][5] at the very end of the computation. Indeed, real-emission contributions are typically computed numerically through the introduction of subtraction counterterms [6][7][8][9][10][11][12][13][14][15][16][17] or some form of phase-space slicing [18][19][20][21][22][23][24][25], whereas the evaluation of their virtual counterparts is mostly carried out purely analytically, thus realising the cancellation of infrared singularities at the integrated level. A notable exception is the computation of inclusive Higgs production at N 3 LO accuracy [26], which was performed through reverse-unitarity [27,28].…”

Section: Contentsmentioning

confidence: 99%

Numerical Loop-Tree Duality: contour deformation and subtraction

Capatti

Hirschi

Kermanschah

et al. 2020

J. High Energ. Phys.

107

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We introduce a novel construction of a contour deformation within the framework of Loop-Tree Duality for the numerical computation of loop integrals featuring threshold singularities in momentum space. The functional form of our contour deformation automatically satisfies all constraints without the need for fine-tuning. We demonstrate that our construction is systematic and efficient by applying it to more than 100 examples of finite scalar integrals featuring up to six loops. We also showcase a first step towards handling non-integrable singularities by applying our work to one-loop infrared divergent scalar integrals and to the one-loop amplitude for the ordered production of two and three photons. This requires the combination of our contour deformation with local counterterms that regulate soft, collinear and ultraviolet divergences. This work is an important step towards computing higher-order corrections to relevant scattering cross-sections in a fully numerical fashion. arXiv:1912.09291v1 [hep-ph] 19 Dec 2019 7 Results 53 7.1 Multi-loop finite integrals 54 7.2 Divergent one-loop four-and five-point scalar integrals 69 7.3 One-loop amplitude for qq → γ 1 γ 2 and qq → γ 1 γ 2 γ 3 69 -i -8 Conclusion 74 9 Acknowledgements 75 A Loop-Tree Duality example at two loops 76 B Expression for the qq → γ 1 γ 2 γ 3 amplitude and its counterterms 79 C Loop-Tree Duality with raised propagators 80 1 As discussed in ref.[83], our final expression in eq. (2.5) is also correct in the case of complex-valued external momenta, due to the fact that the right-most column of the matrix appearing in eq. (2.4) does not include the imaginary part Im[p 0 i ] of the external momenta. We note however, that the correct interpretation of the absence of this term in eq. (2.4) for complex-valued external kinematics is that the energy integrals are no longer performed along the real line but instead along a path including only one out of the two complex energy solutions of each propagator.3)The quantity ∇ k η( k), henceforth denoted as ∇η, is the outward pointing normal vector to the surface η( k) = 0. The contour deformation is defined in the (3n)-dimensional complex space and we parametrise it as k − i κ( k). It must satisfy constraints affecting two of its key characteristics, the direction and magnitude of the vector field κ( k):Direction: The deformation vector κ( k) must induce a sign of the imaginary part of the E-surface equation that matches the sign enforced by the causal prescription whenever k lies on a singular E-surfaces. This imposes conditions on the direction of the vector field κ( k). We derive these conditions by comparing the sign of the LTD prescription

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“…For several "standard candles" processes, the first steps towards the calculation of differential cross sections at N 3 LO have also been taken (see e.g. [1,2]).…”

Section: Contentsmentioning

confidence: 99%

“…The first application of the q T -subtraction method to differential cross sections at N 3 LO was recently proposed in ref. [1], in the calculation of the rapidity distribution of the Higgs boson.…”

Section: Contentsmentioning

confidence: 99%

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Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO

2019

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We consider the production of a colourless system at next-to-leading order in the strong coupling constant α S . We impose a transverse-momentum cutoff, q cut T , on the colourless final state and we compute the power corrections for the inclusive cross section in the cutoff, up to the fourth power.The study of the dependence of the cross section on q cut T allows for an understanding of its behaviour at the boundaries of the phase space, giving hints on the structure at all orders in α S and on the identification of universal patterns. The knowledge of such power corrections is also a required ingredient in order to reduce the dependence on the transverse-momentum cutoff of the QCD cross sections at higher orders, when the q Tsubtraction method is applied.We present analytic results for both Drell-Yan vector boson and Higgs boson production in gluon fusion and we illustrate a process-independent procedure for the calculation of the all-order power corrections in the cutoff. In order to show the impact of the power-correction terms, we present selected numerical results and discuss how the residual dependence on q cut T affects the total cross section for Drell-Yan Z production and Higgs boson production via gluon fusion at the LHC.

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Higgs boson production at the LHC using the qT subtraction formalism at N3LO QCD

Cited by 123 publications

References 133 publications

Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order

Quark Transverse Parton Distribution at the Next-to-Next-to-Next-to-Leading Order

Numerical Loop-Tree Duality: contour deformation and subtraction

Higher-order power corrections in a transverse-momentum cut for colour-singlet production at NLO

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