Could Experimental Anomalies Reflect Non-perturbative Effects?

TY - GEN

T1 - Could Experimental Anomalies Reflect Non-perturbative Effects?

AU - Nielsen, Holger Frits Bech

AU - Froggatt, CD

PY - 2018/12/1

Y1 - 2018/12/1

N2 - We investigate whether some of the rather few anomalies, in the sense of deviations from the Standard Model, could be explained as due to non-perturbative effects caused by the top-Yukawa-coupling being of order unity (in a sense to be discussed briefly in this article). The main achievement of our non-perturbative rule or model is to relate the deviations of ratios between B-meson decay rates for flavour universality violation for neutral currents to the deviations for the charged current flavour universality violations. In fact the anomaly in the ratio R(D) for a charged current withand its neutrino relative to the rate with theand its neutrino is being related in our model for non-perturbative effects to an analogous effect in a neutral current B-meson decay. It is suggested that the ratio of the anomalous amplitudes contributing to these two combinations of decay processes are to very first approximation given by the squared mass ratio of the heaviest lepton involved in the two ratios, which by their deviation from the Standard Model prediction signal lack of flavour universality. The muon g-2 anomaly also fits well in our non-perturbative model. But we have to mutilate the model somewhat in order to avoid a far too large anomaly prediction for, say Bs-B̄s, particle- A ntiparticle mixing.

AB - We investigate whether some of the rather few anomalies, in the sense of deviations from the Standard Model, could be explained as due to non-perturbative effects caused by the top-Yukawa-coupling being of order unity (in a sense to be discussed briefly in this article). The main achievement of our non-perturbative rule or model is to relate the deviations of ratios between B-meson decay rates for flavour universality violation for neutral currents to the deviations for the charged current flavour universality violations. In fact the anomaly in the ratio R(D) for a charged current withand its neutrino relative to the rate with theand its neutrino is being related in our model for non-perturbative effects to an analogous effect in a neutral current B-meson decay. It is suggested that the ratio of the anomalous amplitudes contributing to these two combinations of decay processes are to very first approximation given by the squared mass ratio of the heaviest lepton involved in the two ratios, which by their deviation from the Standard Model prediction signal lack of flavour universality. The muon g-2 anomaly also fits well in our non-perturbative model. But we have to mutilate the model somewhat in order to avoid a far too large anomaly prediction for, say Bs-B̄s, particle- A ntiparticle mixing.

M3 - Conference article

SN - 1580-4992

VL - 19

SP - 359

EP - 379

JO - Blejske Delavnice iz Fizike

JF - Blejske Delavnice iz Fizike

IS - 2

ER -