Exploring $HVV$ amplitudes with $CP$ violation by decomposition and on-shell scattering amplitude methods Article Swipe
Ke-Yao Feng
,
X. Wan
,
You-Kai Wang
·
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2112.00259
YOU?
·
· 2021
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2112.00259
$CP$ violation may play an important role in Baryogenesis in early universe, and should be examined at colliders comprehensively. We study $CP$ properties of $HVV$ vertexes between Higgs and gauge boson pairs with defining a $CP$ violation phase angle $ξ$, which indicates the mixture of $CP$-even and $CP$-odd Higgs states in $HVV$ in new physics. A series of $HVV$ amplitudes $H\toγγ, H\toγV\to γ\ell\ell$, and $H\to VV\to 4\ell$ with $CP$ phase angle are studied systematically, which explains explicitly why $CP$ violation could only be probed in $4\ell$ process independently. We get a novel amplitude decomposition relation which illustrates if two preconditions (multilinear momentum dependent vertexes and current $J_μ$ of $V\to \ell^+ \ell^-$ is formally proportional to a photon's polarization vector) are satisfied, an high-point amplitude can be decomposed into a summation of a series of low-point amplitudes. As a practical example, the amplitude of $H\toγV\to γ\ell\ell$, and $H\to VV\to 4\ell$ processes can be decomposed into summation of many $H\toγγ$ amplitudes. Meanwhile, we calculate these amplitudes in the framework of on-shell scattering amplitude method, with considering both massless and massive vector gauge bosons with $CP$ violation phase angle. The above two approaches provides consistent results and exhibit clearly the $CP$ violation $ξ$ dependence in the amplitudes.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2112.00259
- https://arxiv.org/pdf/2112.00259
- OA Status
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- References
- 36
- Related Works
- 10
- OpenAlex ID
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https://openalex.org/W3217204300Canonical identifier for this work in OpenAlex
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https://doi.org/10.48550/arxiv.2112.00259Digital Object Identifier
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Exploring $HVV$ amplitudes with $CP$ violation by decomposition and on-shell scattering amplitude methodsWork title
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preprintOpenAlex work type
- Language
-
enPrimary language
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2021Year of publication
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2021-12-01Full publication date if available
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Ke-Yao Feng, X. Wan, You-Kai WangList of authors in order
- Landing page
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https://arxiv.org/abs/2112.00259Publisher landing page
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https://arxiv.org/pdf/2112.00259Direct link to full text PDF
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greenOpen access status per OpenAlex
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0Total citation count in OpenAlex
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| abstract_inverted_index.between | 26 |
| abstract_inverted_index.clearly | 195 |
| abstract_inverted_index.current | 105 |
| abstract_inverted_index.exhibit | 194 |
| abstract_inverted_index.massive | 177 |
| abstract_inverted_index.method, | 171 |
| abstract_inverted_index.mixture | 43 |
| abstract_inverted_index.process | 86 |
| abstract_inverted_index.results | 192 |
| abstract_inverted_index.studied | 72 |
| abstract_inverted_index.vector) | 118 |
| abstract_inverted_index.$CP$-odd | 47 |
| abstract_inverted_index.defining | 33 |
| abstract_inverted_index.examined | 15 |
| abstract_inverted_index.example, | 139 |
| abstract_inverted_index.explains | 75 |
| abstract_inverted_index.formally | 112 |
| abstract_inverted_index.massless | 175 |
| abstract_inverted_index.momentum | 101 |
| abstract_inverted_index.on-shell | 168 |
| abstract_inverted_index.photon's | 116 |
| abstract_inverted_index.physics. | 54 |
| abstract_inverted_index.provides | 190 |
| abstract_inverted_index.relation | 94 |
| abstract_inverted_index.vertexes | 25, 103 |
| abstract_inverted_index.$CP$-even | 45 |
| abstract_inverted_index.amplitude | 92, 123, 141, 170 |
| abstract_inverted_index.calculate | 161 |
| abstract_inverted_index.colliders | 17 |
| abstract_inverted_index.dependent | 102 |
| abstract_inverted_index.framework | 166 |
| abstract_inverted_index.important | 5 |
| abstract_inverted_index.indicates | 41 |
| abstract_inverted_index.low-point | 134 |
| abstract_inverted_index.practical | 138 |
| abstract_inverted_index.processes | 149 |
| abstract_inverted_index.summation | 129, 154 |
| abstract_inverted_index.universe, | 11 |
| abstract_inverted_index.violation | 1, 36, 79, 183, 198 |
| abstract_inverted_index.$H\toγγ$ | 157 |
| abstract_inverted_index.$H\toγγ, | 60 |
| abstract_inverted_index.H\toγV\to | 61 |
| abstract_inverted_index.Meanwhile, | 159 |
| abstract_inverted_index.amplitudes | 59, 163 |
| abstract_inverted_index.approaches | 189 |
| abstract_inverted_index.consistent | 191 |
| abstract_inverted_index.decomposed | 126, 152 |
| abstract_inverted_index.dependence | 200 |
| abstract_inverted_index.explicitly | 76 |
| abstract_inverted_index.high-point | 122 |
| abstract_inverted_index.properties | 22 |
| abstract_inverted_index.satisfied, | 120 |
| abstract_inverted_index.scattering | 169 |
| abstract_inverted_index.$H\toγV\to | 143 |
| abstract_inverted_index.amplitudes. | 135, 158, 203 |
| abstract_inverted_index.considering | 173 |
| abstract_inverted_index.illustrates | 96 |
| abstract_inverted_index.(multilinear | 100 |
| abstract_inverted_index.Baryogenesis | 8 |
| abstract_inverted_index.polarization | 117 |
| abstract_inverted_index.proportional | 113 |
| abstract_inverted_index.γ\ell\ell$, | 62, 144 |
| abstract_inverted_index.decomposition | 93 |
| abstract_inverted_index.preconditions | 99 |
| abstract_inverted_index.independently. | 87 |
| abstract_inverted_index.systematically, | 73 |
| abstract_inverted_index.comprehensively. | 18 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 3 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/16 |
| sustainable_development_goals[0].score | 0.46000000834465027 |
| sustainable_development_goals[0].display_name | Peace, Justice and strong institutions |
| citation_normalized_percentile.value | 0.04343426 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |