INTERNATIONAL JOURNAL OF MODERN PHYSICS A, vol.35, no.28, 2020 (Journal Indexed in SCI)
Starting from an effective Lagrangian for the t (t) over bar gamma interaction of the top-quark, we consider the electroweak production cross-section via charged current and through the e(-) p -> e(-)(b) over bar -> (t) over bar nu(e)gamma -> (t) over bar (-> W- (qq'; l) + b)nu e gamma signal. Further, we derive the sensitivity expected for the magnetic dipole moment ((a) over cap (V)) and the electric dipole moment ((a) over cap (A)) of the top-quark at the Future Circular Collider-hadron electron (FCC-he). We present our study for root s = 7:07, 10 TeV, L = 50, 100, 300, 500, 1000 fb(-1), delta(sys) = 0; 3; 5% and Pe- = 0%, 80%, -80%, respectively. We find that the sensitivity estimated on dipole moments of the top-quark is of the order of magnitude O(10(1)) for both hadronic and leptonic decay modes of W-: (a) over cap (V) = [-0.2308; 0.2204] and vertical bar(a) over cap (A)vertical bar = 0:2259 at 95% C.L. in the hadronic channel with unpolarized electron beam Pe- = 0%. Our results regarding the polarized electron beam for Pe- = 80% and Pe- = 80% are (a) over cap (V) = [0.3428; 0.3321], vertical bar (a) over cap (A)vertical bar= 0.3371 and (a) over cap (V) = [-.2041; 0.1858], vertical bar (a) over cap (A vertical bar) = 0.1939 at 95% C.L. in the hadronic channel. The corresponding results for the leptonic channel with Pe- = 0%, 80% 80% are (a) over cap (V) = [-0.3067; 0.2963], vertical bar (a) over cap (A)vertical bar = 0.3019, (a) over cap (V) = [-0.4563; 0.4456], vertical bar (a) over cap (A)vertical bar = 0.4505 and (a) over cap (V) = [-0.2695; 0.2512], vertical bar (a) over capA(vertical bar) = 0.2592, respectively. The results for (a) over cap (V) and (a) over cap (A) in the leptonic channel are weaker than those corresponding to the hadronic channel by a factor of 0.75. Given these prospective sensitivities, the FCC-he is an alternative to study the anomalous couplings of the quark-top that would complement the studies of the LHC with cleaner environments.