How to know if a particle is on shell in general?

Coffee_
Messages
259
Reaction score
2
Is there a general way of knowing if an elementary boson for example is virtual or real?

So for example, two leptons annihilate into an elementary boson. Then you can get real photons, W+-/Z° bosons depending on the leptons.

However W+-/Z° and photons can also be virtual when acting as mediators of force.

Is this always the case? That whenever it's a force mediator it's going to be virtual and 100% off shell?
 
Physics news on Phys.org
There is no "100% off shell". If you know enough momenta of involved particles (e. g. all decay products), you can calculate the 4-vector of the intermediate particle, and see if it was (approximately) on-shell or not.
 
Technically, since these gauge bosons are unstable (and what you actually detect are jets/leptons) all gauge bosons are off shell.
 
Toponium is a hadron which is the bound state of a valance top quark and a valance antitop quark. Oversimplified presentations often state that top quarks don't form hadrons, because they decay to bottom quarks extremely rapidly after they are created, leaving no time to form a hadron. And, the vast majority of the time, this is true. But, the lifetime of a top quark is only an average lifetime. Sometimes it decays faster and sometimes it decays slower. In the highly improbable case that...
I'm following this paper by Kitaev on SL(2,R) representations and I'm having a problem in the normalization of the continuous eigenfunctions (eqs. (67)-(70)), which satisfy \langle f_s | f_{s'} \rangle = \int_{0}^{1} \frac{2}{(1-u)^2} f_s(u)^* f_{s'}(u) \, du. \tag{67} The singular contribution of the integral arises at the endpoint u=1 of the integral, and in the limit u \to 1, the function f_s(u) takes on the form f_s(u) \approx a_s (1-u)^{1/2 + i s} + a_s^* (1-u)^{1/2 - i s}. \tag{70}...

Similar threads

Back
Top