High precision determination of the gluon fusion Higgs boson cross-section at the LHC

111

Abstract:We consider the inclusive production of a Higgs boson in gluon-fusion and we study the impact of threshold resummation at next-to-next-to-next-to-leading logarithmic accuracy (N 3 LL) on the recently computed fixed-order prediction at next-to-next-to-nextto-leading order (N 3 LO). We propose a conservative, yet robust way of estimating the perturbative uncertainty from missing higher (fixed-or logarithmic-) orders. We compare our results with two other different methods of estimating the uncertainty from missing higher orders: the Cacciari-Houdeau Bayesian approach to theory errors, and the use of algorithms to accelerate the convergence of the perturbative series, as suggested by David and Passarino. We confirm that the best convergence happens at µ R = µ F = m H /2, and we conclude that a reliable estimate of the uncertainty from missing higher orders on the Higgs cross section at 13 TeV is approximately ±4%.

Section: Jhep08(2016)105mentioning

confidence: 89%

“…Moreover, NNLO corrections are also significant. Recently, a milestone calculation of third-order perturbative coefficient was performed [9][10][11][12]. N 3 LO corrections appear to be small, indicating that the perturbative series is finally manifesting convergence.…”

Section: Introductionmentioning

confidence: 99%

On the Higgs cross section at N3LO+N3LL and its uncertainty

Bonvini

Marzani

Muselli

et al. 2016

111

“…Following the recent work [77] on inclusive Higgs production in NNNLO QCD we observe the almost one-to-one behaviour between the top inclusive cross-section at order N n LO and the total Higgs cross-section 4 at order N n+1 LO for n = 0, 1, 2 as a function of the scale µ. Importantly, the analogy extends also to the resummed NNLO cross-section, especially the rise of the NNLL resummed cross-section for larger values of µ.…”

Section: Jhep04(2017)071mentioning

confidence: 97%

Dynamical scales for multi-TeV top-pair production at the LHC

Czakon

Heymes

Mitov

2017

139

156

We calculate all major differential distributions with stable top-quarks at the LHC. The calculation covers the multi-TeV range that will be explored during LHC Run II and beyond. Our results are in the form of high-quality binned distributions. We offer predictions based on three different parton distribution function (pdf) sets. In the near future we will make our results available also in the more flexible fastNLO format that allows fast re-computation with any other pdf set. In order to be able to extend our calculation into the multi-TeV range we have had to derive a set of dynamic scales. Such scales are selected based on the principle of fastest perturbative convergence applied to the differential and inclusive cross-section. Many observations from our study are likely to be applicable and useful to other precision processes at the LHC. With scale uncertainty now under good control, pdfs arise as the leading source of uncertainty for TeV top production. Based on our findings, true precision in the boosted regime will likely only be possible after new and improved pdf sets appear. We expect that LHC top-quark data will play an important role in this process.

“…Very recently, NNNLO QCD corrections were calculated for the Higgs total production cross section in gluon-gluon fusion [3,4]. The residual factorization/renormalization scales variation moved from about 10-15% of the NNLO calculation (supplemented by NNLL resummation) to about 5% of the current result.…”

Section: Jhep09(2016)091mentioning

confidence: 99%

“…Nevertheless, the MIs I 1,...,31 admit a representation in terms of GPLs which is convenient for their numerical evaluation. As for the remaining MIs, we followed the procedure outlined in section 3.3: we express the solution up to weight 2 for I 32 and up to weight 3 for I 33,...,36 in terms of GPLs and then obtain an 1-fold integral representation for the higher weights (for I (4) 32,..., 36 we use eq. (3.29)).…”

Section: Jhep09(2016)091mentioning

confidence: 99%

Two-loop master integrals for the mixed EW-QCD virtual corrections to Drell-Yan scattering

Bonciani

Vita

Mastrolia

et al. 2016

105

We present the calculation of the master integrals needed for the two-loop QCD×EW corrections to q +q → l − + l + and q +q → l − + ν , for massless external particles. We treat the W and Z bosons as degenerate in mass. We identify three types of diagrams, according to the presence of massive internal lines: the no-mass type, the onemass type, and the two-mass type, where all massive propagators, when occurring, contain the same mass value. We find a basis of 49 master integrals and evaluate them with the method of the differential equations. The Magnus exponential is employed to choose a set of master integrals that obeys a canonical system of differential equations. Boundary conditions are found either by matching the solutions onto simpler integrals in special kinematic configurations, or by requiring the regularity of the solution at pseudothresholds. The canonical master integrals are finally given as Taylor series around d = 4 spacetime dimensions, up to order four, with coefficients given in terms of iterated integrals, respectively up to weight four.