Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion

Alexey Pak; Matthias Steinhauser; Nikolai Zerf

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Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion

Alexey Pak, Matthias Steinhauser, Nikolai Zerf

High Energy Physics - Phenomenology · Submitted 8 Aug 2012

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim In a large part of the still allowed parameter space the $K$ factor of the supersymmetric theory is close to the one of the Standard Model.

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arXiv ID1208.1588 (version 1)

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CitationAlexey Pak, Matthias Steinhauser, Nikolai Zerf. "Supersymmetric next-to-next-to-leading order corrections to Higgs boson production in gluon fusion." arXiv:1208.1588 (2012). https://pith.science/paper/2DIUWUVZ

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What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.52 · human participants 0.01 · controlled comparison 0.52 · randomized assignment 0.01 · states quantitative result 0.97 · compares with prior results 0.90 · mentions code or data availability 0.02.

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We compute the total cross section for the production of a light CP even Higgs boson within the framework of supersymmetric QCD up to next-to-next-to-leading order. Technical subtleties in connection to the evaluation of three-loop Feynman integrals with many mass scales are discussed in detail and explicit results for the counterterms of the evanescent couplings are provided. The new results are applied to several phenomenological scenarios which are in accordance with the recent discovery at the LHC. In a large part of the still allowed parameter space the $K$ factor of the supersymmetric theory is close to the one of the Standard Model. However, for the case where one of the top squarks is light, a deviation of more than 5% in the next-to-next-to-leading order prediction of the cross section can be observed where at the same time the predicted Higgs boson mass has a value of about 125 GeV.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We compute the total cross section for the production of a light CP even Higgs boson within the framework of supersymmetric QCD up to next-to-next-to-leading order.	contribution 1.00	0.97	0.10	asserted 1.00
s1	Technical subtleties in connection to the evaluation of three-loop Feynman integrals with many mass scales are discussed in detail and explicit results for the counterterms of the evanescent couplings are provided.	method 0.90	0.90	0.04	asserted 1.00
s2	The new results are applied to several phenomenological scenarios which are in accordance with the recent discovery at the LHC.	contribution 0.71	0.84	0.08	asserted 0.95
s3	In a large part of the still allowed parameter space the $K$ factor of the supersymmetric theory is close to the one of the Standard Model.	result 0.96	0.86	0.27	asserted 0.98
s4	However, for the case where one of the top squarks is light, a deviation of more than 5% in the next-to-next-to-leading order prediction of the cross section can be observed where at the same time the predicted Higgs boson mass has a value of about 125 GeV.	result 1.00	0.92	0.44	asserted 0.92

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from simulation or computation 0.82.

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Original abstract

We compute the total cross section for the production of a light CP even Higgs boson within the framework of supersymmetric QCD up to next-to-next-to-leading order. Technical subtleties in connection to the evaluation of three-loop Feynman integrals with many mass scales are discussed in detail and explicit results for the counterterms of the evanescent couplings are provided. The new results are applied to several phenomenological scenarios which are in accordance with the recent discovery at the LHC. In a large part of the still allowed parameter space the $K$ factor of the supersymmetric theory is close to the one of the Standard Model. However, for the case where one of the top squarks is light, a deviation of more than 5% in the next-to-next-to-leading order prediction of the cross section can be observed where at the same time the predicted Higgs boson mass has a value of about 125 GeV.

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References

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
hep-ph 2014-03 accept novelty 7.0 of 10

The three-loop hadronic vacuum-polarization correction to the muon anomalous magnetic moment is 1.24 ± 0.01 × 10^-10, large enough to belong in the g-2 theory budget.
SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM
hep-ph 2012-12 accept novelty 5.0 of 10

SusHi packages published QCD and electroweak corrections into one downloadable code that predicts neutral-Higgs production cross sections in the Standard Model and the MSSM, inclusive and differential, with user-selec...
SusHi Bento: Beyond NNLO and the heavy-top limit
hep-ph 2016-05 accept novelty 4.0 of 10

Version 1.6.0 of the SusHi code assembles N3LO soft-expansion, finite top-mass, and dimension-5 operator effects into one Higgs cross-section tool, predicting 48.28 pb for the 125 GeV SM Higgs at 13 TeV.
High precision fundamental constants at the TeV scale
hep-ph 2014-05 conditional novelty 3.0 of 10

The report compiles 2014 determinations of the strong coupling and the top quark mass, shows that independent extractions scatter beyond their quoted uncertainties, and recommends a standing working group plus scheme-...

How the literature uses it

11 arXiv papers cite this in 46 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 32 sentences without a confident label

Builds on it 2 papers

Ref. [ref] extends this calculation to apply to more general supersymmetric mass spectra.

Precision calculations for Higgs-boson production at hadron colliders · Introduction · 0.81
In Ref. [ref] the results have been generalized by considering various hierarchies of the involved supersymmetric particle masses.

Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions · Higgs boson production in the MSSM · 0.86

Uses its method or tool 5 papers

The top-squark (and mixed top/stop/gluino) effects, available for $ϕ=h$ only, have been evaluated [ref] by applying the limit $ϕ ≪q,1,2,$.

SusHi: A program for the calculation of Higgs production in gluon fusion and bottom-quark annihilation in the Standard Model and the MSSM · corrections · 1.00
In Ref. [ref] the program H3m [ref] has been used in order to compute the lightest MSSM Higgs boson mass.

Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions · Higgs boson production in the MSSM · 1.00
[ref] , these expansions should allow one to derive a numerical approximation for $C^(2)$ in any viable scenario.

Towards precise predictions for Higgs-boson production in the MSSM · The contributions at the NNLO · 0.99

Uses its data or values 1 paper

To assess the uncertainty arising from the fact that we neglect the three-loop SUSY contributions to $C^(2)$, we make use of a recent calculation of those contributions in the VHML [ref] .

Towards precise predictions for Higgs-boson production in the MSSM · The contributions at the NNLO · 0.83

Compares with it 1 paper

The results of [ref] have been cross-checked in Ref. [ref] where a low-energy theorem has been used in order to obtain $C_1$ from the decoupling constant of $α_s$.

Higgs boson production in the SM and MSSM to NNLO and beyond · NNLO corrections to $gg→H+X$ in the MSSM · 0.82

Cites it as background 1 paper

This coupling has to be properly renormalized[for more details the reader shall be referred to Refs. [ref] ] at the two-loop level when one considers $C_1$ at three loops.

Precision calculations for Higgs-boson production at hadron colliders · Effective Higgs gluon coupling · 0.82

What it cites · 51 sentences without a confident label

Builds on 1 paper

In Ref. [ref] the procedure has been described for a degenerate SUSY spectrum, the modifications necessary to cover the most general case are straightforward and briefly touched in the following.

Towards Higgs boson production in gluon fusion to NNLO in the MSSM · Renormalization and evanescent couplings · 0.95

Uses the method or tool of 15 papers

The analytic expressions for the amplitudes which we implemented in our numerical program are taken from Ref. [ref] for the bottom and from Ref. [ref] for the top sector which provides the SUSY QCD corrections up to NLO.

NLO QCD bottom corrections to Higgs boson production in the MSSM · Numerical setup · 0.98
The analytic expressions for the amplitudes which we implemented in our numerical program are taken from Ref. [ref] for the bottom and from Ref. [ref] for the top sector which provides the SUSY QCD corrections up to NLO.

Supersymmetric Higgs production in gluon fusion at next-to-leading order · Numerical setup · 0.98
As far as the contribution to the cross section originating from the top quark, top squark and squark sector is concerned we adopt the formalism outlined in Ref. [ref] .

Towards Higgs boson production in gluon fusion to NNLO in the MSSM · Formalism · 1.00

Uses data or values from 4 papers

* We use LO, NLO and NNLO PDFs by the MSTW2008 collaboration [ref] in order to obtain the respective predictions for $σ^SQCD$ in Eq. ([ref]).

Parton distributions for the LHC · Numerical setup · 0.89
Thus our best prediction looks as follows [equation] where $δ^EW$ is taken from Ref. [ref] (see also Ref. [ref] ).

Mixed QCD-electroweak corrections to Higgs boson production in gluon fusion · Formalism · 0.99
Thus our best prediction looks as follows [equation] where $δ^EW$ is taken from Ref. [ref] (see also Ref. [ref] ).

NLO Electroweak Corrections to Higgs Boson Production at Hadron Colliders · Formalism · 0.99

Compares with 6 papers

In this figure we compare $M_h$ as computed by (dashed lines) to the one obtained by H3m [ref] (solid line).

Higgs boson mass in supersymmetry to three loops · Prediction to NNLO · 0.98
In this figure we compare $M_h$ as computed by (dashed lines) to the one obtained by H3m [ref] (solid line).

Light MSSM Higgs boson mass to three-loop accuracy · Prediction to NNLO · 0.98
It reads [equation] As compared to Ref. [ref] the $M_Z^2$ terms, which result both from the top quark/top squark and light quark/squark sector, are new.

Towards Higgs boson production in gluon fusion to NNLO in the MSSM · $C_1$ to three loops · 0.94

Cites as support 4 papers

For Higgs boson masses considered here this approximation approaches the exact result to high accuracy [ref] .

Finite top mass effects for hadronic Higgs production at next-to-next-to-leading order · Numerical setup · 0.97
For Higgs boson masses considered here this approximation approaches the exact result to high accuracy [ref] .

Finite top quark mass effects in NNLO Higgs boson production at LHC · Numerical setup · 0.97
For Higgs boson masses considered here this approximation approaches the exact result to high accuracy [ref] .

Higgs production in gluon fusion at next-to-next-to-leading order QCD for finite top mass · Numerical setup · 0.97

Cites as background 11 papers

Explicit analytical NLO results can be found in Refs. [ref] (see also Ref. [ref] for numerical results).

The two-loop QCD amplitude gg -> h,H in the Minimal Supersymmetric Standard Model · Introduction · 0.81
Explicit analytical NLO results can be found in Refs. [ref] (see also Ref. [ref] for numerical results).

Supersymmetric Higgs production in gluon fusion · Introduction · 0.81
Explicit analytical NLO results can be found in Refs. [ref] (see also Ref. [ref] for numerical results).

NLO QCD bottom corrections to Higgs boson production in the MSSM · Introduction · 0.81

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