They are encoded in the positive geometry of the amplituhedron, via the singularity structure of the integrand for scattering amplitudes.
22.
For example, twistor string theory may simplify calculating scattering amplitudes from Feynman diagrams by using a geometric structure called an amplituhedron.
23.
His contributions include New Horizons Prize for " uncovering numerous structures underlying scattering amplitudes in gauge theories and gravity ".
24.
Once one has the potential V between two particles, then one can compute the scattering amplitude T from the Lippmann-Schwinger equation
25.
The scattering amplitude is a probability amplitude and the differential cross-section as a function of scattering angle is given as its modulus squared
26.
The formal way to state this property is that the antiparticle scattering amplitudes are the analytic continuation of particle scattering amplitudes to negative energies.
27.
The formal way to state this property is that the antiparticle scattering amplitudes are the analytic continuation of particle scattering amplitudes to negative energies.
28.
The scattering amplitude can thus be thought of as the volume of a certain polytope, the positive Grassmannian, in momentum twistor space.
29.
The elements of the partial algebra are not observables; instead the " trace " yields " greens functions ", which generate scattering amplitudes.
30.
The interpretation of the scattering amplitude is that the sum of 2 } } over all possible final states is the probability for the scattering event.
