Anomalous WWγWW\gamma couplings with beam polarization at the Compact Linear Collider

We study the anomalous $WW\gamma$ couplings at the Compact Linear Collider through the processes $e^{+}e^{-}\to W^+W^-$, $e^{-}e^{+} \to e^{-} \gamma^{*} e^{+} \to e^{+} \nu_{e} W^-$ and $e^{-}e^{+}\to e^{-} \gamma^{*} \gamma^{*} e^{+} \to e^{-} W^+ W^- e^{+}$ $(\gamma^{*}$ is the Weizsacker-Williams photon). We give the 95\% confidence level limits for unpolarized and polarized electron (positron) beam on the anomalous couplings for various values of the integrated luminosities and center-of-mass energies. We show that the obtained limits on the anomalous couplings through these processes can highly improve the current experimental limits. In addition, our limits with beam polarization are approximately two times better than the unpolarized case.Comment: Tables and references adde

Anomalous quartic WWγγWW\gamma\gamma couplings in epep collisions at the LHeC and the FCC-he

We conducted a study on measuring $W^+W^-$ production and on the sensitivity limits at $95\%$ Confidence Level on thirteen anomalous couplings obtained by dimension-8 operators which are related to the anomalous quartic $WW\gamma\gamma$ couplings. We consider the main $e^-p \to e^-\gamma^*\gamma^*p \to e^-W^+W^-p$ reaction with the sub-process $\gamma^*\gamma^* \to W^+W^-$ at the Large Hadron electron Collider (LHeC) and the Future Circular Collider-hadron electron (FCC-he). For the LHeC, energies of the $e^-$ beams are taken to be $E_e =60$ and 140 GeV and the energy of the $p$ beams is taken to be $E_p = 7$ TeV. For the FCC-he, energies of the $e^-$ beams are taken to be $E_e =60$ and 140 GeV and the energy of the $p$ beams is taken to be $E_p = 50$ TeV, respectively. It is interesting to notice that the LHeC and the FCC-he will lead to model-independent limits on the anomalous quartic $WW\gamma\gamma$ couplings which are one order of magnitude stringent than the CMS Collaboration limits, in addition to being competitive with other limits reported in the literature.Comment: 28 pages, 10 Figures and 13 Table

Projected Sensivity to Dimension-6 Triple Gauge Couplings at the FCC-hh

In this study, we investigate the process $pp \rightarrow W^{\pm} \gamma$ for the physics potential of the FCC-hh with $\sqrt{s}=100$ TeV to examine the anomalous $WW\gamma$ couplings defined by three CP-conserving and two CP-violating effective operators of dimension-6. The analysis containing the realistic detector effects is carried out in the mode where $W^{\pm}$ bosons in the final state decay into the leptonic channel. The best sensitivities obtained from the process $pp \rightarrow W^{\pm} \gamma$ on the anomalous couplings $C_{WWW}/ \Lambda^{2}$ and $C_{W,B}/ \Lambda^{2}$ determined by CP-conserving effective Lagrangians are $[-0.01; 0.01]$ TeV$^{-2}$ and $[-0.88; 0.88]$ TeV$^{-2}$, while $C_{\tilde{W}WW}/ \Lambda^{2}$ and $C_{\tilde{W}}/ \Lambda^{2}$ couplings defined by CP-violating effective Lagrangian are obtained as $[-0.03; 0.03]$ TeV$^{-2}$ and $[-0.47; 0.47]$ TeV$^{-2}$ at the FCC-hh with $\sqrt{s}=100$ TeV, $L_{int}=30$ ab$^{-1}$. However, if the systematic uncertainty is included, we obtain reduced sensitivities on the anomalous $WW\gamma$ coupling . The results are compared for assumed systematics of $5\%$ and $10\%$.Comment: 17 pages, 6 Figures and Tables I

Search for the anomalous ZZZZZZ and ZZγZZ\gamma gauge couplings through the process e+e−→ZZe^+e^- \to ZZ with unpolarized and polarized beams

This work offers the constraints on the anomalous neutral triple gauge couplings (aNTGC) for the process $e^+e^- \to ZZ$ at the CLIC with $\sqrt{s}=3$ TeV. The realistic CLIC detector environments and their effects are considered in our analysis. The study is planned for the decays of producted $Z$ bosons to a pair of charged leptons (electrons or muons) and neutrino pairs. The bounds on the aNTGCs defining $CP$-conserving $C_{\widetilde{B}W}/{\Lambda^4}$ coupling and three $CP$-violating $C_{WW}/{\Lambda^4}$, $C_{BW}/{\Lambda^4}$, and $C_{BB}/{\Lambda^4}$ couplings are obtained. Also, the effects and advantages of polarization for incoming electron beams in these calculations are investigated.Comment: 21 pages, 14 figure

Study of the projected sensitivity on the anomalous quartic gauge couplings via ZγγZ\gamma\gamma production at the CLIC

Gauge boson self-couplings are completely defined by the non-Abelian gauge symmetry of the Standard Model (SM), thus direct search for these couplings are extremely significant in understanding the gauge structure of the SM. The possible deviation from the SM predictions of gauge boson self-couplings would be a sign of the presence of new physics beyond the SM. In this work, we study the sensitivities on the anomalous couplings defined by dimension-8 operators related to the $ZZ\gamma\gamma$ and $Z\gamma\gamma\gamma$ quartic vertices through the process $e^+e^- \to Z\gamma\gamma$ with Z-boson decaying to charged leptons at the Compact Linear Collider (CLIC). We analyze the center-of-mass energy of 3 TeV, integrated luminosities of ${\cal L}=1, 4, 5$ $\rm ab^{-1}$, systematic uncertainties of $\delta_{sys}=0\%, 5\%, 10\%$, and unpolarized and polarized electron beams for extraction of expected sensitivity on the anomalous $f_ {T,j}/\Lambda^4$ couplings at $95\%$ confidence level, which are especially sensitive to the $Z\gamma\gamma$ channel. It is clear from the results that if the systematic error is improved, we expect better limits on the couplings. The best limits obtained on the anomalous quartic couplings for the process $e^+e^- \to Z\gamma\gamma$ with $\sqrt{s}= 3$ TeV, ${\cal L}=5$ $\rm ab^{-1}$ and $\delta_{sys}=0\%$ can be approximately improved up to about two times better than the limits obtained with $\delta_{sys}=10\%$. Our sensitivities on the anomalous quartic couplings with $\delta_{sys}=0\%$ can set more stringent sensitivity by two orders of magnitude concerning the best sensitivity derived from the current experimental limits. Finally, with initial electron beam polarization, the sensitivity of the anomalous quartic couplings improves by almost a factor of 1.2.Comment: 38 pages, 22 figure

Study on the anomalous quartic W+W−γγW^+W^-\gamma\gamma couplings of electroweak bosons in e−pe^-p collisions at the LHeC and the FCC-he

In this paper, a study is carried out on the $e^-p \to e^-\gamma^* p \to p W^+\gamma \nu_e$ production to probe quartic $W^+W^-\gamma\gamma$ couplings using 10, 100 ${\rm fb^{-1}}$ of $e^-p$ collisions data at $\sqrt{s}$= 1.30, 1.98 GeV at the Large Hadron electron Collider (LHeC) and 100, 1000 ${\rm fb^{-1}}$ with $\sqrt{s}$= 3.46, 5.29 GeV at the Future Circular Collider-hadron electron (FCC-he). Production cross-sections are determined for both at leptonic and hadronic decay channel of the $W$-boson. With the data from future $e^-p$ colliders, it is possible to obtain sensitivity measures at $95\%$ C.L. on the anomalous $f_ {M,i}/\Lambda^4$ and $f_ {T,i}/\Lambda^4$ couplings which are competitive with the limits obtained by the LHC, as well as with others limits reported in the literature. The production mode $e^-p \to e^-\gamma^* p \to p W^+\gamma \nu_e$ in $e^-p$ collisions offers a window for study the quartic $W^+W^-\gamma\gamma$ electroweak bosons couplings at the LHeC and the FCC-he, which provides a much cleaner collision environment than the LHC.Comment: 27 pages , 10 figure

Study on the anomalous quartic W+W-yy couplings of electroweak bosons in e-p collisions at the LHeC and the FCC-he

In this paper, a study is carried out on the e−p --> e−y*p --> pW−ynu_e production to probe quartic W+W−yy couplings at the Large Hadron electron Collider (LHeC) with s= 1.30, 1.98 TeV and at the Future Circular Collider-hadron electron (FCC-he) with s= 3.46, 5.29 TeV. Production cross-sections are determined for both at leptonic and hadronic decay channels of the W-boson. With the data from future e−p colliders, it is possible to obtain sensitivity measures at 95% C.L

An Alternative Treatment for Yukawa-Type Potentials

We propose a new approximation scheme to obtain analytic expressions for the bound state energies and eigenfunctions of Yukawa like potentials. The predicted energies are in excellent agreement with the accurate numerical values reported in the literature