6 papers
On the random nature of (prime) number distribution
Erika Alvarez, Jean Pestieau
Let pi(x) denote the number of primes smaller or equal to x. We compare sqrt{pi}(x) with sqrt{R}(x) and sqrt{li}(x), where R(x) and li(x) are the Riemann function and the logarithm…
Remarkable Mass Relations in the Electroweak Model
Jean Pestieau
In the electroweak standard model we observe two remarkable empirical mass relations, m_W + m_B = v/2 and m_W - m_B = e v/2 where m^2_Z = m^2_W + m^2_B, e is the positron electric…
Analytical Behaviour of Positronium Decay Amplitudes
G. Lopez Castro, J. Pestieau, C. Smith +1
Positronium annihilation amplitudes that are computed by assuming a factorization approximation with on-shell intermediate leptons do not exhibit good analytical behaviour. Using d…
Parapositronium Decay and Dispersion Relations
G. Lopez Castro, J. Pestieau, C. Smith +1
Positronium decay rates are computed at the one-loop level, using convolution-type factorized amplitudes. The dynamics of this factorization is probed with dispersion relations, sh…
Binding energy corrections in positronium decays
G. Lopez Castro, J. Pestieau, C. Smith
Positronium annihilation amplitudes that are computed by assuming a factorization approximation with on-shell intermediate leptons, do not exhibit good analytical behavior. We prop…
Arithmetic and the standard electroweak theory
G. Lopez Castro, J. Pestieau
We propose the relations 1/e - e =3 and tan(2theta_W)=3/2, where e is the positron charge and theta_W is the weak angle. Present experimental data support these relations to a very…