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Mixed electroweak-QCD corrections to $e^+e^-\to \mu^+\mu^- H$ at CEPC with finite-width effect
High Energy Physics - Phenomenology · Submitted 13 Nov 2018
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The mixed electroweak-QCD correction turns out to reach 1.5\% of the Born-order result, and thereby must be included in future confrontation with the data.
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The abstract, sentence by sentence
The associated production of Higgs boson with a muon pair, $e^+e^-\to \mu^+\mu^- H$, is one of the golden channels to pin down the properties of the Higgs boson in the prospective Higgs factories exemplified by \textsf{CEPC}. The projected accuracy of the corresponding cross section measurement is about per cent level at CEPC. In this work, we investigate both ${\mathcal O}(\alpha)$ weak correction and the ${\mathcal O}(\alpha\alpha_s)$ mixed electroweak-QCD corrections for this channel, appropriately taking into account the effect of finite $Z^0$ width. The $\mu^+\mu^-$ invariant mass spectrum is also predicted. The mixed electroweak-QCD correction turns out to reach 1.5\% of the Born-order result, and thereby must be included in future confrontation with the data. We also observe that, after including higher-order corrections, the simplified prediction for the integrated cross section employing the narrow-width-approximation may deviate from our full result by a few per cents.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The associated production of Higgs boson with a muon pair, $e^+e^-\to \mu^+\mu^- H$, is one of the golden channels to pin down the properties of the Higgs boson in the prospective Higgs factories exemplified by \textsf{CEPC}. | background 1.00 | 0.05 | 0.03 | asserted 1.00 |
| s1 | The projected accuracy of the corresponding cross section measurement is about per cent level at CEPC. | background 0.98 | 0.08 | 0.03 | asserted 0.73 |
| s2 | In this work, we investigate both ${\mathcal O}(\alpha)$ weak correction and the ${\mathcal O}(\alpha\alpha_s)$ mixed electroweak-QCD corrections for this channel, appropriately taking into account the effect of finite $Z^0$ width. | contribution 0.94 | 0.94 | 0.08 | asserted 0.96 |
| s3 | The $\mu^+\mu^-$ invariant mass spectrum is also predicted. | contribution 0.63 | 0.89 | 0.03 | asserted 1.00 |
| s4 | The mixed electroweak-QCD correction turns out to reach 1.5\% of the Born-order result, and thereby must be included in future confrontation with the data. | result 0.92 | 0.96 | 0.72 | asserted 1.00 |
| s5 | We also observe that, after including higher-order corrections, the simplified prediction for the integrated cross section employing the narrow-width-approximation may deviate from our full result by a few per cents. | result 0.88 | 0.95 | 0.11 | hedged possibility 0.91 |
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The paper
Original abstract
The associated production of Higgs boson with a muon pair, $e^+e^-\to \mu^+\mu^- H$, is one of the golden channels to pin down the properties of the Higgs boson in the prospective Higgs factories exemplified by \textsf{CEPC}. The projected accuracy of the corresponding cross section measurement is about per cent level at CEPC. In this work, we investigate both ${\mathcal O}(\alpha)$ weak correction and the ${\mathcal O}(\alpha\alpha_s)$ mixed electroweak-QCD corrections for this channel, appropriately taking into account the effect of finite $Z^0$ width. The $\mu^+\mu^-$ invariant mass spectrum is also predicted. The mixed electroweak-QCD correction turns out to reach 1.5\% of the Born-order result, and thereby must be included in future confrontation with the data. We also observe that, after including higher-order corrections, the simplified prediction for the integrated cross section employing the narrow-width-approximation may deviate from our full result by a few per cents.
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References
How the literature uses it
7 arXiv papers cite this in 7 sentences
Papers citing it · 2 sentences without a confident label
Cites it as background 5 papers
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The next-to-leading order (NLO) EW effect has been investigated in Refs. [ref] , and in recent years the mixed EW-QCD correction effect has been obtained [ref] .
Complete two-loop electroweak corrections to $e^+e^-\rightarrow HZ$ · Introduction · 0.90
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Recently, two-loop electroweak corrections to the SM cross section were calculated in Refs. [ref] ; see also Refs. [ref] .
Riding the Seesaw: What Higgsstrahlung May Reveal about Massive Neutrinos · Introduction · 0.89
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The two-loop mixed QCD and electroweak corrections have also been calculated recently for the associated production of Higgs boson and a $Z$ boson at electron-positron colliders [ref] .
Thrust distribution in Higgs decays at the next-to-leading order and beyond · Introduction · 0.90
What it cites · 8 sentences without a confident label
Uses the method or tool of 7 papers
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Tensor integrals are further reduced to the Passarino-Veltman scalar functions, which are numerically evaluated by [ref] and [ref] .
Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations · Calculation of the NLO weak correction · 1.00
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We then combine [ref] / [ref] to perform sector decomposition and subsequent numerical integrations for master integrals with quadruple precision.
FIESTA 4: optimized Feynman integral calculations with GPU support · Calculation of Mixed Electroweak-QCD Corrections · 1.00
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For the actual two-loop computation, we utilize the packages [ref] and [ref] to perform partial fraction and integration-by-parts (IBP) reduction.
FIRE5: a C++ implementation of Feynman Integral REduction · Calculation of Mixed Electroweak-QCD Corrections · 1.00
Compares with 1 paper
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The impact of the $O(α)$ and $O(αα_s)$ corrections to the Higgs angular distribution is quite analogous to what is found in our preceding work on $e^+e^- →ZH$ [ref] .
Mixed electroweak-QCD corrections to $e^+e^-\to HZ$ at Higgs factory · Numerical Results · 0.99
Cites as background 8 papers
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The mixed electroweak-QCD correction to $e^+e^-→ZH$ has recently become available [ref] .
Mixed QCD-EW corrections for Higgs boson production at $e^+e^-$ colliders · Summary · 0.84
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The mixed electroweak-QCD correction to $e^+e^-→ZH$ has recently become available [ref] .
Mixed electroweak-QCD corrections to $e^+e^-\to HZ$ at Higgs factory · Summary · 0.84
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It is worth mentioning that a systematic and model-independent approach, the unstable particle effective theory, has also emerged finally [ref] .
Unstable-particle effective field theory · The treatment of finite $Z^0$ width in higher-order corrections · 0.96
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