Electroweak radiative corrections to the top quark decay

The top quark, once produced, should be an important window to the electroweak symmetry breaking sector. We compute electroweak radiative corrections to the decay processt→b+W ⁺ in order to extract information on the Higgs sector and to fix the background in searches for a possible new physics contribution. The large Yukawa coupling of the top quark induces a new form factor through vertex corrections and causes discrepancy from the tree-level longitudinalW-boson production fraction, but the effect is of order 1% or less form _H<1 TeV.     

First-order radiative corrections to polarized muon decay spectrum

The first-order QED corrections to the polarized muon decay spectrum are considered. The exact dependence on electron and muon masses is kept. Numerical results are presented.     

QCD radiative corrections to charged current heavy quark production

The QCD radiative corrections to charged current heavy quark production are given in the limit that the weak partner is massless, i.e. using a bottom structure function for top quark production. The results for charm production in neutrino nucleon scattering agree with those published before, but our method enables us to study all outgoing particles. The corrections to top production at the proposed LEP/LHC electroproton collider are discussed.     

General theory of radiative corrections to atomic decay rates

A general expression is derived for the radiative corrections to the one-photon decay rates of hydrogen-like ions. Our approach is based on the evaluation of the imaginary part of the fourth-order Lamb shift for excited states. We thereby avoid the ambiguities connected with electron wave function renormalization. The result may be cast in a form which is manifestly gauge invariant. As an application, we show that the formulas used by Lin and Feinberg in their study of relativistic M1 transitions, obtained by heuristic arguments, are derivable from first principles.     

Finite temperature radiative corrections to neutron decay and related processes

We present a detailed calculation of the radiative corrections at finite temperature to the processes nν ? pe, ne ? pν. and n ? peν. The temperature range considered is approximately 100 keV to 3 MeV, which is the range relevant for nucleosynthesis calculations. Photon absorption and emission, photonic corrections to the vertex and fermion wave-function renormalizations, as well as the correction to the electron “mass” are calculated explicitly. It is shown that infrared divergences are only cancelled when absorption and induced photon emission are included. We analyze the effect of these processes on the various reaction rates, and discuss the effects of these corrections on the calculated helium abundance in the universe.     

Electroweak one-loop corrections to the decay of the charged vector boson

The electroweak radiative corrections to the decay widths of theW-boson, Γ \((W \to l\bar v,\bar ud,\bar cs)\) , have been calculated in the standard theory. The results are presented in terms of an electroweak form factorρ ^W and their dependence onm _t , andM _H (masses oft-quark and higgs boson) is studied. Typically,ρ ^W ?1 is of an order of one percent. The differenceρ _lv ^W ?ρ _qq′ ^W is negligible, 0.046%. The calculational scheme used is described in detail.     

Factorization of radiative leptonic D-meson decay with sub-leading power corrections

In this work,we calculate the sub-leading power contributions to radiative leptonic D→γlv decay.For the first time,we provide the analytic expressions of next-to-leading power contributions and the error estimation associated with the power expansion of O(A_(QCD)/m_c).In our calculation,we adopt two different models of the Dmeson distribution amplitudes Φ_(D,Ⅰ)~+ and Φ_(D,Ⅱ)~+.Within the framework of QCD factorization as well as the dispersion relation,we evaluate the soft contribution up to the next-to-leading logarithmic accuracy and also consider the higher-twist contribution from the two-particle and three-particle distribution amplitudes.Finally,we find that all the sub-leading power contributions are significant at λ_D(μ_0)=354 MeV,and the next-to-leading power contributions lead to 143% in Φ_(D,Ⅰ)+ and 120% in Φ_(D,Ⅱ)~+ corrections to leading power vector form factors with E_γ=0.5 GeV.As the corrections from the higher-twist and local sub-leading power contributions are enhanced with increasing inverse moment,it is difficult to extract an appropriate inverse moment of the D-meson distribution amplitude.The predicted branching fractions are(1.88_(-0.29)~(+0.36)) × 10~(-5) for Φ_(D,Ⅰ)~+ and(2.31_(-0.54)~(+0.65))× 10~(-5) for Φ_(D,Ⅱ)~+.     

Leading log radiative corrections to deep inelastic neutral and charged current scattering at HERA

TheO(α) radiative corrections for neutral and charged current deep inelastic scattering are calculated in the leading log approximation. The numerical results are found to agree within a few per cent with the results of a completeO(α) calculation by Bardin et al. It is demonstrated that both for the leading log and completeO(α) calculation all light quark mass terms can be eliminated from the cross section.     

New non-abelian couplings and radiative corrections to the main decay of the top quark

We calculate first order radiative corrections to the main decay of the top quark,tb+W, beyond the Standard Model, by grafting onto the standard lagrangian (using the terminology of de Rújula, Gavela, Hernandez and Massó), a new operator, which respects the gauge symmetry of the Standard Model and modifies theZ ⁰ W ⁺ W ^–,W ⁺ W ^– vertices In our renormalization scheme we use ,G _F,M _Z as input parameters. Them _t dependence is given where we use =1 TeV as a possible scale of the new physics. Form _t =150(200) GeV and =1 TeV, the maximal effect due to the new non-abelian couplings, is to change the relative size of the electroweak radiative corrections of the Standard Model by adding a value of –2.98(–6.96)%, i.e. from a value of 5.55(3.26)% to 2.57(–3.7)%.     

QCD radiative corrections to upsilon decay into scalar plus gamma and pseudoscalar plus gamma

The calculation is presented of the α_S correction to heavy quarkonium decay into scalar and pseudoscalar plus gamma. For the scalar case, the result agrees with the value previously calculated by Vysotsky. In both cases the correction brings about a substantial reduction in the rate.     

Considerations concerning the radiative corrections to muon decay in the Fermi and Standard theories

The FAC, PMS, and BLM optimization methods are applied to the QED corrections to the muon lifetime in the Fermi V-A theory. The FAC and PMS scales are close to m_e, while the BLM scale nearly coincides with the geometric average √m_em_μ. The optimized expressions are employed to estimate the third order coefficient in the (m_μ) expansion and the theoretical error of the perturbative series. Using arguments based on effective field theory and a simple examination of Feynman diagrams, it is shown that, if contributions of (m_μ²/M_W²) are neglected, the corrections to muon decay in the SM factorize into the QED correction of the Fermi V-A theory and the electroweak amplitude g²/(1 − Δr), both of which are strictly scale-independent. We use the results to clarify how the QED corrections to muon decay and the Fermi constant G_F should be used in the SM, and what is the natural choice of scales if running couplings are employed.