In this work, we reconstruct the $\textit{H}$($\textit{z}$) based on observational Hubble data with Artificial Neural Network, then estimate the cosmological parameters and the Hubble constant. The training data we used are covariance matrix and mock $\textit{H}$($\textit{z}$), which are generated based on the real OHD data and Gaussian process. The use of the covariance matrix propagates the correlated uncertainties and improves training efficiency. Using the reconstructed H(z) data, we first determine the Hubble constant and compare it with CMB-based measurements. To constrain cosmological parameters, we sample on the reconstructed data and calculate the corresponding posterior distributions with Markov chain Monte Carlo. Through comprehensive statistical comparisons, we demonstrate that the parameter estimation using reconstructed samples achieves comparable statistical accuracy to the result derived from real OHD data.

China

Jie-feng Chen

Tong-Jie Zhang

Peng He

Tingting Zhang

Jie Zhang

Estimating cosmological parameters and reconstructing Hubble constant with artificial neural networks: a test with covariance matrix and mock H(z)

We investigate the phenomenology of the charged Higgs boson at the International Linear Collider (ILC) within the framework of the type-X Two-Higgs Doublet Model, where a light charged Higgs boson, with a mass around 200 GeV or even smaller than top quark mass, is still being consistent with flavor physics data as well as with collider experimental data. In the theoretically and experimentally allowed parameter space, the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy="false">→</mo><msup><mi>H</mi><mo>±</mo></msup><msup><mi>W</mi><mo>∓</mo></msup><mi>S</mi></math> (with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>S</mi><mo>=</mo><mi>H</mi></mrow></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>A</mi></mrow></math>) production processes can yield signatures with event rates larger than those from <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy="false">→</mo><msup><mi>H</mi><mo>+</mo></msup><msup><mi>H</mi><mo>−</mo></msup></math> and offer sensitivity to the Higgs mixing parameter <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>sin</mi><mo stretchy="false">(</mo><mi>β</mi><mo>−</mo><mi>α</mi><mo stretchy="false">)</mo></math>. We consider the bosonic <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>H</mi><mo>±</mo></msup><mo stretchy="false">→</mo><msup><mi>W</mi><mo>±</mo></msup><mi>S</mi></math> decays, where the neutral scalar <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>S</mi></math> further decays into a pair of tau leptons. We show, through a detector-level Monte Carlo analysis, that the resulting <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mo stretchy="false">[</mo><mi>τ</mi><mi>τ</mi><mo stretchy="false">]</mo><mo stretchy="false">[</mo><mi>τ</mi><mi>τ</mi><mo stretchy="false">]</mo><mi>W</mi><mi>W</mi></math> final state could be seen at the ILC with at least 500 GeV center-of-mass energy and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>500</mn><mtext> </mtext><mtext> </mtext><msup><mi>fb</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup></math> of luminosity.

Morocco

Brahim Ait Ouazghour

Taiwan

Abdesslam Arhrib

South Korea

Kingman Cheung

Es-said Ghourmin

Mohamed Krab

Larbi Rahili

Searching for charged Higgs bosons via <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>e</mi><mo>+</mo></msup><msup><mi>e</mi><mo>−</mo></msup><mo stretchy="false">→</mo><msup><mi>H</mi><mo>±</mo></msup><msup><mi>W</mi><mo>∓</mo></msup><mi>S</mi></math> at the ILC

Dark matter particles could be superheavy (mass $$M_X\gtrsim 10^9~$$ GeV) provided that their lifetime $$\tau _X$$ is extremely long, i.e. greater than $$\simeq 10^{22}~$$ yr. Such stringent constraints on $$\tau _X$$ are generally obtained by limiting the prompt emission of ultrahigh energy ( $$\gtrsim 10^9~$$ GeV) gamma rays and neutrinos from the decay processes to below the corresponding flux upper bounds. In this paper, we show that even more severe bounds can be obtained for $$M_X\gtrsim 10^{13}~$$ GeV from the synchrotron radiation of electron decay byproducts in the Galaxy. We illustrate the power of these constraints using generic Higgs-induced $$h\nu $$ and gauge-induced $$Z\nu /W\ell $$ decay channels, motivated by particle-physics setups invoking right-handed neutrinos. As a concrete benchmark, we consider a superheavy dark-matter candidate within an extended type-I seesaw framework and show that the lower bounds on lifetime can be translated into upper bounds on a mass-mixing parameter $$\delta M$$ , which must satisfy approximately $$\delta M\lesssim 2\times 10^{-17}/[M_X/(10^9~\textrm{GeV})]^{0.5}$$ GeV for $$M_X\gtrsim 10^9$$ GeV. Some implications in the context of inflationary cosmologies are discussed.

France

Olivier Deligny

Constraints on superheavy dark matter decaying into $$h\nu $$ , $$Z\nu $$ and $$W\ell $$

Inclusive and differential cross sections for Higgs boson production in proton-proton collisions at a centre-of-mass energy of 13.6 TeV are measured using data collected with the CMS detector at the LHC in 2022, corresponding to an integrated luminosity of 34.7 fb . Events with the diphoton final state are selected, and the measured inclusive fiducial cross section is $${\sigma }_{\text{fid}}={74}\pm {11}{\left({\text{stat}}\right)}_{-4}^{+5}\left({\text{syst}}\right)$$ fb, in agreement with the standard model prediction of 67.8 ± 3.8 fb. Differential cross sections are measured as functions of several observables: the Higgs boson transverse momentum and rapidity, the number of associated jets, and the transverse momentum of the leading jet in the event. Within the uncertainties, the differential cross sections agree with the standard model predictions.

Armenia

A. Hayrapetyan

V. Makarenko

A. Tumasyan

Austria

W. Adam

J. Andrejkovic

L. Benato

T. Bergauer

K. Damanakis

M. Dragicevic

C. Giordano

P. Hussain

M. Jeitler

N. Krammer

A. Li

D. Liko

I. Mikulec

J. Schieck

R. Schöfbeck

D. Schwarz

M. Shooshtari

M. Sonawane

W. Waltenberger

C.E. Wulz

Belgium

T. Janssen

H. Kwon

T. Laer

P. Mechelen

J. Bierkens

N. Breugelmans

J. D’Hondt

S. Dansana

A. Moor

M. Delcourt

F. Heyen

Y. Hong

S. Lowette

I. Makarenko

D. Müller

J. Song

S. Tavernier

M. Tytgat

G. Onsem

S. Putte

D. Vannerom

B. Bilin

B. Clerbaux

A. Das

I. Bruyn

G. Lentdecker

H. Evard

L. Favart

P. Gianneios

A. Khalilzadeh

F. Khan

A. Malara

M. Shahzad

L. Thomas

M. Vanden Bemden

C. Velde

P. Vanlaer

F. Zhang

M. Coen

D. Dobur

G. Gokbulut

J. Knolle

L. Lambrecht

D. Marckx

K. Skovpen

N. Den Bossche

J. Linden

J. Vandenbroeck

L. Wezenbeek

S. Bein

A. Benecke

A. Bethani

G. Bruno

A. Cappati

J. De Favereau De Jeneret

C. Delaere

A. Giammanco

A. Guzel

V. Lemaitre

J. Lidrych

P. Mastrapasqua

S. Turkcapar

Brazil

G. Alves

E. Coelho

C. Hensel

T. Menezes De Oliveira

C. Mora Herrera

P. Rebello Teles

M. Soeiro

E. Tonelli Manganote

A. Vilela Pereira

W. Aldá Júnior

M. Barroso Ferreira Filho

H. Brandao Malbouisson

W. Carvalho

J. Chinellato

M. Costa Reis

Measurements of inclusive and differential Higgs boson production cross sections at $$\sqrt{\text{s}}=13.6$$ TeV in the H $\textit{→ γγ}$ decay channel

We study the quantum properties of the Higgs-boson decays into four fermions via two vector bosons ($\textit{H}$ → $\textit{VV}$ → 4$\textit{f}$). In particular, we focus on the case of two different-flavour lepton pairs ($\textit{H}$ → $\textit{ZZ}$ → $\textit{μ}$ $\textit{μ}$ $\textit{e}$ $\textit{e}$ ). We compute the quantum-information observables for the corresponding two-qutrit system ($\textit{ZZ}$) at next-to-leading order electroweak (NLO EW) accuracy in the SM. We find that NLO EW corrections lead to giant (order 1) effects in some specific cases, significantly altering the extraction of observables quantifying the quantum correlations. We identify observables that are robust and can be used to extract reliable information. Finally, we discuss possible new physics (NP) effects, parametrised via an effective-field-theory approach. We show how quantum observables can increase the sensitivity to NP also for the process considered in this study.

Italy

Morgan Gratta

Federica Fabbri

Priyanka Lamba

Fabio Maltoni

Davide Pagani

Quantum properties of $\textit{H → VV}$

We study the impact of the pointlike <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>q</mi><msup><mover accent="true"><mi>q</mi><mo stretchy="false">¯</mo></mover><mo>′</mo></msup><mi>W</mi><mi>H</mi></math> interactions originating from a subset of dimension-six operators of the Standard Model effective field theory (SMEFT) on the Higgs boson associated production <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>p</mi><mi>p</mi><mo stretchy="false">→</mo><msup><mi>W</mi><mo>+</mo></msup><mi>H</mi></math> at the LHC. For consistency, we also take into account the corresponding <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>q</mi><msup><mover accent="true"><mi>q</mi><mo stretchy="false">¯</mo></mover><mo>′</mo></msup><mi>W</mi></math> vertices implied by these operators. We compute the next-to-next-to-leading order quantum chromodynamics (QCD) corrections to this process and compare these corrections in the Standard Model and SMEFT production mechanisms.

Germany

Marco Bonetti

Robert V. Harlander

Dmitrii Korneev

Ming-Ming Long

Kirill Melnikov

Raoul Röntsch

Davide Maria Tagliabue

<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>W</mi><mi>H</mi></math> production at the LHC within SMEFT at next-to-next-to-leading order QCD

A measurement is presented of the cross section in proton-proton collisions for the production of two <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>W</mi></math> bosons and one <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Z</mi></math> boson. It is based on data recorded by the CMS experiment at the CERN LHC at center-of-mass energies <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>13</mn></math> and 13.6 TeV, corresponding to an integrated luminosity of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mn>200</mn><mtext> </mtext><mtext> </mtext><msup><mi>fb</mi><mrow><mo>−</mo><mn>1</mn></mrow></msup></math>. Events with four charged leptons (electrons or muons) in the final state are selected. Both nonresonant <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>W</mi><mi>W</mi><mi>Z</mi></math> production and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Z</mi><mi>H</mi></math> production, with the Higgs boson decaying into two <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>W</mi></math> bosons, are reported. For the first time, the two processes are measured separately in a simultaneous fit. Combining the two modes, signal strengths relative to the standard model (SM) predictions of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mn>0.75</mn><mrow><mo>−</mo><mn>0.29</mn></mrow><mrow><mo>+</mo><mn>0.34</mn></mrow></msubsup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mn>1.74</mn><mrow><mo>−</mo><mn>0.60</mn></mrow><mrow><mo>+</mo><mn>0.71</mn></mrow></msubsup></math> are measured for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>13</mn></math> and 13.6 TeV, respectively. The observed (expected) significance for the triboson signal is 3.8 (2.5) standard deviations for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msqrt><mrow><mi>s</mi></mrow></msqrt><mo>=</mo><mn>13.6</mn><mtext> </mtext><mtext> </mtext><mi>TeV</mi></mrow></math>, thus providing the first evidence for triboson production at this center-of-mass energy. Combining the two modes and the two center-of-mass energies, the inclusive signal strength relative to the SM prediction is measured to be <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mn>1.03</mn><mrow><mo>−</mo><mn>0.28</mn></mrow><mrow><mo>+</mo><mn>0.31</mn></mrow></msubsup></math>, with an observed (expected) significance of 4.5 (5.0) standard deviations.

J.W. Andrejkovic

P.S. Hussain

D. Ocampo Henao

T. Van Laer

P. Van Mechelen

A. De Moor

P. Kashko

G.P. Van Onsem

S. Van Putte

A.K. Das

I. De Bruyn

G. De Lentdecker

F.A. Khan

M.A. Shahzad

C. Vander Velde

M. De Coen

N. Van Den Bossche

J. van der Linden

A.O. Guzel

P. Malek

G.A. Alves

E.J. Tonelli Manganote

W.L. Aldá Júnior

Measurement of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>W</mi><mi>W</mi><mi>Z</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Z</mi><mi>H</mi></math> Production Cross Sections at <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msqrt><mi>s</mi></msqrt><mo>=</mo><mn>13</mn></math> and 13.6 TeV

A quantum computing algorithm is proposed to obtain low-lying excited states in many-body interacting systems. The approximate eigenstates are obtained by using a quantum space diagonalization method in a subspace of states selected from the convergence path of the ADAPT-VQE (adaptive derivative-assembled pseudo-Trotter Ansatz variational quantum eigensolver) towards the ground state of the many-body problem. This method is shown to be accurate with only a small overhead in terms of quantum resources required to get the ground state. We also show that the quantum algorithm might be used to facilitate the convergence of the ADAPT-VQE method itself. Successful applications of the technique are made to like-particle pairing as well as neutron-proton pairing. Finally, the <math altimg='si31.svg'><msub><mi>H</mi><mn>4</mn></msub></math> molecule&#8217;s dissociation also illustrates the technique, demonstrating its accuracy and versatility.

Jing Zhang

Denis Lacroix

Excited states from ADAPT-VQE convergence path in many-body problems: Application to nuclear pairing problem and <math altimg='si31.svg'><msub><mi>H</mi><mn>4</mn></msub></math> molecule dissociation

We present the results of our lattice QCD computation of the hadronic matrix elements relevant to the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>c</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>c</mi></msub><mi>γ</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>b</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>b</mi></msub><mi>γ</mi></math> decays by using the gauge configurations produced by the Extended Twisted Mass Collaboration with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>f</mi></msub><mo>=</mo><mn>2</mn><mo>+</mo><mn>1</mn><mo>+</mo><mn>1</mn></math> dynamical Wilson-Clover twisted mass fermions at five different lattice spacings with physical dynamical <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>u</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>d</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>s</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>c</mi></math> quark masses (except for the coarsest lattice for which the lightest sea quark corresponds to a pion with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>m</mi><mi>π</mi></msub><mo>≃</mo><mn>175</mn><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math>). While the hadronic matrix element for <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>c</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>c</mi></msub><mi>γ</mi></math> is obtained directly, the one relevant to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>b</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>b</mi></msub><mi>γ</mi></math> is reached by working with heavy quark masses <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>m</mi><mi>H</mi><mrow><mo stretchy="false">(</mo><mi>n</mi><mo stretchy="false">)</mo></mrow></msubsup><mo>=</mo><msup><mi>λ</mi><mrow><mi>n</mi><mo>−</mo><mn>1</mn></mrow></msup><msub><mi>m</mi><mi>c</mi></msub></math>, with <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>λ</mi><mo>∼</mo><mn>1.24</mn></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>n</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mo>…</mo><mo>,</mo><mn>6</mn></math>, and then extrapolated to <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>m</mi><mi>b</mi></msub></math> by several judicious Ansätze. In the continuum limit we obtain <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Γ</mi><mo stretchy="false">(</mo><msub><mi>h</mi><mi>c</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>c</mi></msub><mi>γ</mi><mo stretchy="false">)</mo><mo>=</mo><mn>0.604</mn><mo stretchy="false">(</mo><mn>24</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>MeV</mi></math>, which is by a factor of 2.3 more accurate than the previous lattice estimates, and in good agreement with the experimental measurement. In the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>b</mi></math>-quark case we obtain <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Γ</mi><mo stretchy="false">(</mo><msub><mi>h</mi><mi>b</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>b</mi></msub><mi>γ</mi><mo stretchy="false">)</mo><mo>=</mo><mn>46.0</mn><mo stretchy="false">(</mo><mn>4.8</mn><mo stretchy="false">)</mo><mtext> </mtext><mtext> </mtext><mi>keV</mi></math>.

D. Bečirević

R. Di Palma

R. Frezzotti

G. Gagliardi

V. Lubicz

F. Sanfilippo

N. Tantalo

Lattice QCD determination of the radiative decay rates <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>c</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>c</mi></msub><mi>γ</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>h</mi><mi>b</mi></msub><mo stretchy="false">→</mo><msub><mi>η</mi><mi>b</mi></msub><mi>γ</mi></math>

We investigate new contributions to the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>H</mi><mi>Z</mi><mi>Z</mi></math> vertex from the flavor changing neutral current (FCNC) involving the Higgs and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Z</mi></math> bosons. Our calculations reveal that the form factors <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>h</mi><mn>2</mn><mi>V</mi></msubsup></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>h</mi><mn>3</mn><mi>V</mi></msubsup></math> (<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>V</mi><mo>=</mo><mi>H</mi></math>, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Z</mi></math>) can be induced through these couplings, and we present our results in terms of the Passarino-Veltman scalar functions. Using the current limits on <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>H</mi><mover accent="true"><mi>t</mi><mo stretchy="false">¯</mo></mover><mi>c</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>Z</mi><mover accent="true"><mi>t</mi><mo stretchy="false">¯</mo></mover><mi>c</mi></math> couplings, we determine that the new contributions to the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>C</mi><mi>P</mi></math>-conserving form factor <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>h</mi><mn>2</mn><mi>V</mi></msubsup></math> are small compared to the Standard Model (SM) predictions. However, for the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>C</mi><mi>P</mi></math>-violating form factor <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msubsup><mi>h</mi><mn>3</mn><mi>V</mi></msubsup></math>, the contributions can reach values as high as <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mn>10</mn><mrow><mo>−</mo><mn>6</mn></mrow></msup></math>, 5 orders of magnitude larger than in the SM. Furthermore, we examine how these results influence the left-right asymmetries in the processes <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>H</mi><mo>*</mo></msup><mo stretchy="false">→</mo><mi>Z</mi><mi>Z</mi></math> and <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msup><mi>Z</mi><mo>*</mo></msup><mo stretchy="false">→</mo><mi>Z</mi><mi>H</mi></math>. Our findings suggest that significant deviations from SM predictions may occur when considering FCNC contributions.

Mexico

A.I. Hernández-Juárez

R. Gaitán

<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>C</mi><mi>P</mi></math> violation in the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi>H</mi><mi>Z</mi><mi>Z</mi></math> vertex and left-right asymmetries