Scale dependence and collinear subtraction terms for Higgs production in gluon fusion at N3LO

Buehler, Stephan; Lazopoulos, Achilleas

doi:10.1007/jhep10(2013)096

Cited by 46 publications

(35 citation statements)

References 106 publications

(168 reference statements)

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“…[12][13][14][15][16][17][18][19][20]. In order to obtain a finite result, appropriate ultra-violet and infrared counterterms need to be included [21][22][23][24][25][26][27][28][29]. The contributions from the emission of two partons at one loop and three partons at tree-level, however, have not been computed for arbitrary kinematics so far, but they are only known as an expansion around threshold.…”

Section: Jhep08(2015)051mentioning

confidence: 99%

Soft expansion of double-real-virtual corrections to Higgs production at N3LO

Anastasiou

Duhr

Dulat

et al. 2015

J. High Energ. Phys.

102

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We present methods to compute higher orders in the threshold expansion for the one-loop production of a Higgs boson in association with two partons at hadron colliders. This process contributes to the N 3 LO Higgs production cross section beyond the soft-virtual approximation. We use reverse unitarity to expand the phase-space integrals in the small kinematic parameters and to reduce the coefficients of the expansion to a small set of master integrals. We describe two methods for the calculation of the master integrals. The first was introduced for the calculation of the soft triple-real radiation relevant to N 3 LO Higgs production. The second uses a particular factorization of the three body phase-space measure and the knowledge of the scaling properties of the integral itself. Our result is presented as a Laurent expansion in the dimensional regulator, although some of the master integrals are computed to all orders in this parameter.

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Section: Jhep08(2015)051mentioning

confidence: 99%

Soft expansion of double-real-virtual corrections to Higgs production at N3LO

Anastasiou

Duhr

Dulat

et al. 2015

J. High Energ. Phys.

102

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“…Following the derivation of the three-loop virtual corrections [27][28][29][30][31], of the required renormalization and factorization counterterm contributions [32,33], and of expansions of single and multiple real radiation contributions around the soft limit [25,26,[34][35][36], the threshold approximation of this coefficient function was computed earlier this year [37]. We use our results for the two-loop splitting amplitudes to derive a closed analytic expression for the two-loop single-real contribution to the inclusive N 3 LO coefficient function for Higgs production.…”

Section: Jhep02(2015)077mentioning

confidence: 99%

Two-loop splitting amplitudes and the single-real contribution to inclusive Higgs production at N3LO

Duhr

Gehrmann

Jaquier

2015

J. High Energ. Phys.

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The factorisation of QCD matrix elements in the limit of two external partons becoming collinear is described by process-independent splitting amplitudes, which can be expanded systematically in perturbation theory. Working in conventional dimensional regularisation, we compute the two-loop splitting amplitudes for all simple collinear splitting processes, including subleading terms in the regularisation parameter. Our results are then applied to derive an analytical expression for the two-loop single-real contribution to inclusive Higgs boson production in gluon fusion to fourth order (N 3 LO) in perturbative QCD.

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“…N 3 LO computation in gluon channel is underway, see Ref. [14,15], while approximate N 3 LO results have been already obtained in Ref. [16].…”

Section: Theoretical Accuracymentioning

confidence: 95%