Abstract

We study the sensitivity of the Large Hadron Collider (LHC) to top quark chromomagnetic (CMDM) and chromoelectric (CEDM) dipole moments and $Wtb$ effective couplings in single-top production in association with a $W^-$ boson, followed by semileptonic decay of the top. The $Wt$ single-top production mode helps to isolate the anomalous $ttg$ and $Wtb$ couplings, in contrast to top-pair production and other single-top production modes, where other new-physics effects can also contribute. We calculate the top polarization and the effects of these anomalous couplings on it at two centre-of-mass (cm) energies, 8 TeV and 14 TeV. As a measure of top polarization, we look at decay-lepton angular distributions in the laboratory frame, without requiring reconstruction of the rest frame of the top, and study the effect of the anomalous couplings on these distributions. We construct certain asymmetries to study the sensitivity of these distributions to top-quark couplings. We determine individual limits on the dominant couplings, viz., the real part of the CMDM $\mathrm{Re}\rho_2$, the imaginary part of the CEDM $\mathrm{Im}\rho_3$, and the real part of the tensor $Wtb$ coupling $\mathrm{Ref_{2R}}$, which may be obtained by utilizing these asymmetries at the LHC. We also obtain simultaneous limits on pairs of these couplings taking two couplings to be non-zero at a time.

Highlights

  • We study the sensitivity of the Large Hadron Collider (LHC) to top quark chromomagnetic (CMDM) and chromoelectric (CEDM) dipole moments and W tb effective couplings in single-top production in association with a W − boson, followed by semileptonic decay of the top

  • We show the relative change in cross section, ∆σ/σSM as a function of various anomalous tbW and ttg couplings when their contributions are taken upto linear order for LHC8 and LHC14, while in figure 3 corresponding plots are shown for the full contributions of the anomalous couplings for LHC8 and LHC14(right)

  • We find that the limits which we obtained on anomalous couplings are about an order of magnitude smaller than those obtained in ref. [16] for top pair production from the observables considered in this work

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Summary

Framework and analytical results

We obtain analytical expressions for the spin density matrix for W t production including anomalous couplings. Expressions for the spin density matrix elements ρ(±, ±) and ρ(±, ∓) , where ± are the signs of the top-quark helicity, for W t production including the contributions of Reρ and Imρ are given in the appendix. Using the NWA and spin-density matrix formalism for top production and its decay, we write the partial cross section in the parton cm of frame as 1 dσ = 32(2π)4Γtmt dσ(λ, λ ). Integrating over the lepton energy, with limits given by m2W < 2(pt·p ) < m2t , the analytical expression for the differential cross section in the parton cm frame is given as dσ d cos θt d cos θ dφ. Where θ and φ are the lepton polar and azimuthal angles

Single-top production in association with a W boson
Top angular distribution
Angular distributions of the charged lepton
Γf dΓf d cos θf
Azimuthal asymmetry
Sensitivity analysis for anomalous tbW and ttg couplings
Findings
Conclusions
Full Text
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