Toponium as Nonabelian Positronium ?

We extend our previous work on non-linear realization of the top quark field, which is a consequence of its being much heavier than any other scales. One loop effective Lagrangian to account for virtual top effects is constructed in this article, for processes where there are two external fermions, as well as any number of bosons. Particularly, we focus on those terms which have power dependence on the top mass $m_t$.

After the discovery of the top quark more than 20 years ago, its properties have been studied in great detail both in production and in decay. Increasingly sophisticated experimental results from the Fermilab Tevatron and from Run 1 and Run 2 of the LHC at CERN are complemented by very precise theoretical predictions in the framework of the standard model of particle physics and beyond. In this article the current status of top-quark physics is reviewed, focusing on experimen...

Nonrelativistic bound states are studied using an effective field theory. Large logarithms in the effective theory can be summed using the velocity renormalization group. For QED, one can determine the structure of the leading and next-to-leading order series for the energy, and compute corrections up to order alpha^8 ln^3 alpha, which are relevant for the present comparison between theory and experiment. For QCD, one can compute the velocity renormalization group improved qu...

The possibility of formation for a bound state of a $t$ quark and a lighter one is investigated using potential model predictions and heavy quark effective theory approach. Resulting estimates for the 1S--2S splitting of the energy levels are compared to the total top decay width $\Gamma_t$ . As for the case of toponium, our conclusions show that the probability of formation for T-mesons is negligibly small due to the high top mass value.

I review recent theoretical work on top-quark physics within the standard model, beyond the standard model, and at the Planck scale.

The role of the top quark in completing the Standard Model quark sector is reviewed, along with a discussion of production, decay, and theoretical restrictions on the top quark properties. Particular attention is paid to the top quark as a laboratory for perturbative QCD. As examples of the relevance of QCD corrections in the top quark sector, the calculation of $e^+e^-\to t {\bar t}$ at next-to-leading-order QCD using the phase space slicing algorithm and the implications of...

I will briefly review the status of higher-order calculations for top-quark observables, comment on the need for improvements, discuss some of the recent theoretical advances, and present a few examples to highlight the role of top-quark observables in searches for signals of physics beyond the Standard Model.

I discuss theoretical issues related to the top mass measurements in hadronic collisions.

A few key issues of present and future explorations of the physics of top quarks at the Tevatron and LHC are discussed.

In order to fulfill Low's theorem requirements, a new lowest order basis for bound state decay computations is proposed, in which the binding energy is treated non-perturbatively. The properties of the method are sketched by reviewing standard positronium decay processes. Then, it is shown how applying the method to quarkonia sheds new light on some longstanding puzzles.