Higgs bbbar decay at NNLO and beyond : the uncertainties of QCD predictions

Kataev, A. L.; Kim, Victor

doi:10.22323/1.070.0004

Cited by 3 publications

(5 citation statements)

References 43 publications

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“…( 4) the magnitude of the scale µ 2 = σ-without performing any expansion. CIPT is currently considered to be the most preferable technique to account for the running of perturbative quantities in a number of processes, including the τ -decay [35,39], the R e + e −ratio [33,34], and the width of the Higgs-boson decay H→ b b [40]. The integration of the running couplings along the contour Γ 2 is performed numerically [35], but for the one-loop running the result for R CIPT can be obtained also analytically and is found to coincide with expression (6), as expected (see Appendix A).…”

Section: Contour-improved Perturbation Theorymentioning

confidence: 99%

“…where Q 2 = −q 2 . Direct multi-loop calculations are usually performed in the far Euclidean (spacelike) region for the corresponding Adler function D S [32,40,49,50], where QCD perturbation theory works reliably. Hence, we write…”

Section: Master Example: Higgs-boson Decay Into a Bb Pairmentioning

confidence: 99%

“…[L] in the range L ∈ [11.7, 13.6]. This will be checked by taking recourse to the model (40) in conjunction with Eq. (B7).…”

mentioning

confidence: 99%

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Higher-order QCD perturbation theory in different schemes: from FOPT to CIPT to FAPT

Bakulev¹,

Михайлов²,

Stefanis

2010

J. High Energ. Phys.

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Results on the resummation of non-power-series expansions of the Adler function of a scalar, D S , and a vector, D V , correlator are presented within fractional analytic perturbation theory (FAPT). The first observable can be used to determine the decay width Γ H→bb of a scalar Higgs boson to a bottom-antibottom pair, while the second one is relevant for the e + e − annihilation cross section. The obtained estimates are compared with those from fixed-order (FOPT) and contour-improved perturbation theory (CIPT), working out the differences. We prove that although FAPT and CIPT are conceptually different, they yield identical results. The convergence properties of these expansions are discussed and predictions are extracted for the resummed series of R S and D V using one-and two-loop coupling running, and making use of appropriate generating functions for the coefficients of the perturbative series.Since the original work of Shirkov and Solovtsov [1] appeared in 1997, the analytic approach to QCD perturbation theory has evolved and progressed considerably. At the heart of this approach is the spectral density which provides the means to define an analytic running coupling in the Euclidean space via a dispersion relation in accordance with causality and renormalization-group (RG) invariance. Using the same spectral density one can also define the running coupling in Minkowski space by employing the dispersion relation for the Adler function [2][3][4][5]. In parallel, this approach has been extended beyond the one-loop level [5,6] and analytic and numerical tools for its application have been developed [7][8][9][10][11][12]. These efforts culminated in a systematic calculational framework, termed Analytic Perturbation Theory (APT), recently reviewed in [13].The simple analytization of the running coupling and its integer powers has been generalized to the level of hadronic amplitudes [14,15] as a whole and new techniques have been developed to deal with more than one (large) momentum scale [16][17][18] (for a brief exposition, see [19]). This encompassing version of analytization includes all terms that may contribute to the spectral density, i.e., affect the discontinuity across the cut along the negative real axis −∞ < Q 2 < 0. It turns out that logarithms of the second large scale, which can be the factorization scale in higher-order perturbative calculations or the evolution scale, correspond to non-integer indices of the analytic couplings, giving rise-in Euclidean space-to Fractional Analytic Perturbation Theory (FAPT) [20,21]. This concept was successfully extended to the timelike region and a unified description in the whole complex momentum space was achieved [22] (see also [23,24]). The issue of crossing heavy-flavor thresholds, naturally entering such calculations, has been considered within APT [13,18,25,26] and more recently also within FAPT [27].Another important topic, which is at the core of the present investigation, deals with the perturbative summation in (F)APT. As it has been demonstrated in [2...

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Section: Contour-improved Perturbation Theorymentioning

confidence: 99%

Section: Master Example: Higgs-boson Decay Into a Bb Pairmentioning

confidence: 99%

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Higher-order QCD perturbation theory in different schemes: from FOPT to CIPT to FAPT

Bakulev¹,

Михайлов²,

Stefanis

2010

J. High Energ. Phys.

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“…Note, that in the process of analysing the uncertainties of QCD predictions for Γ(H 0 → bb), preformed in the work of Ref. [28], we used slightly lower estimate, namely -1892. The difference is explained in part by smaller number of significant digits taken into account in the values of coefficients, which enter in the procedure of corresponding estimates.…”

Section: Estimates Of α S Correctionsmentioning

confidence: 99%

Peculiar features of the relations between pole and running heavy quark masses and estimates of the O(α s 4 ) contributions

Kataev

Kim

2010

Phys. Part. Nuclei

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“…4, the predictions can be sensitive to the choice of the quark mass ratio m 1 /(m 1 + m 2 ). However, we do not focus on these details in the current study, as we think that the problem of mass choice deserves a separate consideration (see for example [40,41], where the problem of choice of the b quark mass was studied in details). Our estimates of the contributions of such processes to the decay width show that they are two orders of magnitude smaller than the mechanism studied in our work.…”

Section: One Loop Correctionsmentioning

confidence: 99%

Higgs boson decay to paired $B_c$: relativistic and one-loop corrections

Belov,

Berezhnoy,

Dorokhov

et al. 2021

Preprint

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Higgs bbbar decay at NNLO and beyond : the uncertainties of QCD predictions

Cited by 3 publications

References 43 publications

Higher-order QCD perturbation theory in different schemes: from FOPT to CIPT to FAPT

Higher-order QCD perturbation theory in different schemes: from FOPT to CIPT to FAPT

Peculiar features of the relations between pole and running heavy quark masses and estimates of the O(α s 4 ) contributions

Higgs boson decay to paired $B_c$: relativistic and one-loop corrections

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