Analytic solutions for neutrino momenta in decay of top quarks
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We employ a geometric approach to analytically solving equations of constraint on the decay of top quarks involving leptons. The neutrino momentum is found as a function of the 4-vectors of the associated bottom quark and charged lepton, the masses of the top quark and W boson, and a single parameter, which constrains it to an ellipse. We show how the measured imbalance of momenta in the event reduces the solutions for neutrino momenta to a discrete set, in the cases of one or two top quarks decaying to leptons. The algorithms can be implemented concisely with common linear algebra routines.
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Cited by 3 Pith papers
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ATLAS reports an 8+ sigma excess in ttbar production near threshold, consistent with NRQCD quasi-bound states and measuring 9.3 pb.
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Observation of a cross-section enhancement near the $t\bar{t}$ production threshold in $\sqrt{s}=13$ TeV $pp$ collisions with the ATLAS detector
ATLAS observes an excess over 8 sigma in ttbar production near threshold, consistent with NRQCD color-singlet S-wave quasi-bound states, with measured cross-section 9.3^{+1.4}_{-1.3} pb.
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Measurement of the $W$-boson angular coefficients and transverse momentum in $pp$ collisions at $\sqrt{s}=$ 13 TeV with the ATLAS detector
ATLAS reports the first measurement of the complete angular coefficients and pT-differential cross sections for W+ and W- bosons in full lepton phase space at 13 TeV, finding agreement with QCD predictions up to order α_S².
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