Higgs Mass Predictions in the CP-Violating High-Scale NMSSM

Christoph Borschensky; Heidi Rzehak; Margarete M\"uhlleitner; Martin Gabelmann; Thi Nhung Dao

RECORD

Higgs Mass Predictions in the CP-Violating High-Scale NMSSM

Christoph Borschensky, Thi Nhung Dao, Martin Gabelmann, Margarete Mühlleitner, Heidi Rzehak

High Energy Physics - Phenomenology · Submitted 25 Jun 2024

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

The authors' main claim We report on the prediction of the SM-like Higgs mass within the CP-violating Next-to-Minimal Supersymmetric extension of the SM (NMSSM) in a scenario where all non-SM particles feature TeV-scale masses.

how it is stated · asserted 0.99 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv ID2406.17635 (version 2)

Pith IDA45HHHQ5, Pith's permanent record of this paper and its review

CitationChristoph Borschensky, Heidi Rzehak, Margarete M\"uhlleitner, Martin Gabelmann, Thi Nhung Dao. "Higgs Mass Predictions in the CP-Violating High-Scale NMSSM." arXiv:2406.17635 (2024). https://pith.science/paper/A45HHHQ5

Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,381 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.65 · human participants 0.01 · controlled comparison 0.15 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.79 · mentions code or data availability 0.70.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

In a supersymmetric theory, large mass hierarchies can lead to large uncertainties in fixed-order calculations of the Standard Model (SM)-like Higgs mass. A reliable prediction is then obtained by performing the calculation in an effective field theory (EFT) framework, involving a matching to the full supersymmetric theory at the high scale to include contributions from the heavy particles, and a subsequent renormalisation-group running down to the low scale. We report on the prediction of the SM-like Higgs mass within the CP-violating Next-to-Minimal Supersymmetric extension of the SM (NMSSM) in a scenario where all non-SM particles feature TeV-scale masses. The matching conditions are calculated at full one-loop order using two approaches. These are the matching of the quartic Higgs couplings as well as of the SM-like Higgs pole masses of the low- and high-scale theory. A comparison between the two methods allows us to estimate the size of terms suppressed by the heavy mass scale that are neglected in a pure EFT calculation as given by the quartic-coupling matching. Furthermore, we study the different sources of uncertainty which enter our calculation as well as the effect of CP-violating phases on the Higgs mass prediction. The matching calculation is implemented in a new version of the public program package NMSSMCALC.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In a supersymmetric theory, large mass hierarchies can lead to large uncertainties in fixed-order calculations of the Standard Model (SM)-like Higgs mass.	background 1.00	0.08	0.03	asserted 0.63
s1	A reliable prediction is then obtained by performing the calculation in an effective field theory (EFT) framework, involving a matching to the full supersymmetric theory at the high scale to include contributions from the heavy particles, and a subsequent renormalisation-group running down to the low scale.	background 0.64	0.09	0.07	asserted 0.99
s2	We report on the prediction of the SM-like Higgs mass within the CP-violating Next-to-Minimal Supersymmetric extension of the SM (NMSSM) in a scenario where all non-SM particles feature TeV-scale masses.	contribution 1.00	0.94	0.23	asserted 0.99
s3	The matching conditions are calculated at full one-loop order using two approaches.	method 0.97	0.91	0.03	asserted 1.00
s4	These are the matching of the quartic Higgs couplings as well as of the SM-like Higgs pole masses of the low- and high-scale theory.	method 0.97	0.84	0.04	asserted 0.96
s5	A comparison between the two methods allows us to estimate the size of terms suppressed by the heavy mass scale that are neglected in a pure EFT calculation as given by the quartic-coupling matching.	method 0.48	0.91	0.13	asserted 0.92
s6	Furthermore, we study the different sources of uncertainty which enter our calculation as well as the effect of CP-violating phases on the Higgs mass prediction.	contribution 0.99	0.94	0.06	asserted 0.95
s7	The matching calculation is implemented in a new version of the public program package NMSSMCALC.	method 0.73	0.90	0.03	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.69 · evidence from simulation or computation 0.89.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

In a supersymmetric theory, large mass hierarchies can lead to large uncertainties in fixed-order calculations of the Standard Model (SM)-like Higgs mass. A reliable prediction is then obtained by performing the calculation in an effective field theory (EFT) framework, involving a matching to the full supersymmetric theory at the high scale to include contributions from the heavy particles, and a subsequent renormalisation-group running down to the low scale. We report on the prediction of the SM-like Higgs mass within the CP-violating Next-to-Minimal Supersymmetric extension of the SM (NMSSM) in a scenario where all non-SM particles feature TeV-scale masses. The matching conditions are calculated at full one-loop order using two approaches. These are the matching of the quartic Higgs couplings as well as of the SM-like Higgs pole masses of the low- and high-scale theory. A comparison between the two methods allows us to estimate the size of terms suppressed by the heavy mass scale that are neglected in a pure EFT calculation as given by the quartic-coupling matching. Furthermore, we study the different sources of uncertainty which enter our calculation as well as the effect of CP-violating phases on the Higgs mass prediction. The matching calculation is implemented in a new version of the public program package NMSSMCALC.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

2 arXiv papers cite this in 5 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 · 4 sentences without a confident label

Compares with it 1 paper

Furthermore, a numerical comparison was carried out with the results from [ref] , which is based on a similar calculation including a hybrid approach with the option of choosing a Higgs pole mass matching.

Application of the 3-Loop FlexibleEFTHiggs Method to the MSSM and the NMSSM · Validation · 1.00

What it cites · 74 sentences without a confident label

Uses the method or tool of 47 papers

First, we implement both matching conditions discussed in Refs. [ref] and [ref] .

Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales · Introduction · 0.96
First, we implement both matching conditions discussed in Refs. [ref] and [ref] .

Higgs-mass prediction in the NMSSM with heavy BSM particles · Introduction · 0.96
To improve our prediction, we have included two-loop QCD and mixed QCD-EW corrections as well as the $O(α_t^2)$ corrections in the limit of the CP-conserving MSSM which are available in SUSYHD [ref] and Ref. [ref] , respectively[Note that the MSSM results in [ref] assume a normalisation of the quartic interaction term in the SM Lagrangian of $-λ_h^/2|H|^4$, so that we have to multiply all MSSM terms by a factor of $1/2$ for our choice of normalisation.].

Full two-loop QCD corrections to the Higgs mass in the MSSM with heavy superpartners · Quartic-Coupling Matching Conditions · 0.90

Uses data or values from 2 papers

The benchmark points 1 and 2 are taken from Refs. [ref] and [ref] and have a BSM mass spectrum which is at or above [2.5]TeV.

Higgs-mass predictions in the MSSM and beyond · Setup and Applied Constraints · 0.97
The benchmark points 1 and 2 are taken from Refs. [ref] and [ref] and have a BSM mass spectrum which is at or above [2.5]TeV.

Higgs-mass prediction in the NMSSM with heavy BSM particles · Setup and Applied Constraints · 0.97

Compares with 1 paper

The brown-solid line is a reprint the one-loop curve found in Ref. [ref] (Fig.1) while the orange-dashed, green-dotted and blue-solid lines are obtained with when using , or the in-built SM calculation, respectively.

Higgs-mass prediction in the NMSSM with heavy BSM particles · Numerical Validation and Comparison with Previous Works · 0.97

Cites as support 1 paper

On the one hand, the theory uncertainty at high supersymmetric (SUSY) masses is reduced in comparison to a pure fixed-order result [ref] .

High-precision predictions for the light CP-even Higgs Boson Mass of the MSSM · Introduction · 0.96

Cites as background 20 papers

The structure of the NMSSM-specific component of this type of uncertainty was already discussed in Ref. [ref] .

Higgs-mass prediction in the NMSSM with heavy BSM particles · Uncertainty Estimate · 0.81
A discussion of EFT in generic SUSY models including also the NMSSM has been presented in [ref] .

Precise Higgs mass calculations in (non-)minimal supersymmetry at both high and low scales · Introduction · 0.96
Leading one-loop, full one-loop and leading two-loop contributions were presented in [ref] where the $$ renormalisation scheme was applied, except for [ref] , which also applied a mixed $$-on-shell (OS) renormalisation scheme.

Higgs Boson Sector of the Next-to-MSSM with CP Violation · Introduction · 0.91

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.