MULTIPLICITY ONE AT FULL CONGRUENCE LEVEL

The Modular Degree, Congruence Primes and Multiplicity One

We answer a question of Frey and Müller about whether or not the modular degree and congruence number of elliptic curves are equal. We give examples in which they are not, prove a theorem relating them, and make a conjecture about the extent to which they differ. We also obtain relations between analogues of the modular degree and congruence number for modular abelian varieties, and give new ex...

The modular number , the congruence number , and multiplicity one ∗

Decay widths of all MSSM scalar particles at full one-loop level

We discuss two packages in preparation, which calculate all possible two-body decays at full one-loop level of all scalars particles of the Minimal Supersymmetric extension of the Standard Model. The package HFOLD (Higgs Full One-Loop Decays) calculates the decay widths and branching ratios of the three neutral and charged Higgs bosons. The package SFOLD (Sfermion Full One-Loop Decays) computes...

Reducing full one-loop amplitudes to scalar integrals at the integrand level

We show how to extract the coefficients of the 4-, 3-, 2and 1-point one-loop scalar integrals from the full one-loop amplitude of arbitrary scattering processes. In a similar fashion, also the rational terms can be derived. Basically no information on the analytical structure of the amplitude is required, making our method appealing for an efficient numerical implementation. e-mail: ossola@inp....

Two-body decays of gluino at full one-loop level in the quark-flavour violating MSSM

We study the two-body decays of the gluino at full one-loop level in the Minimal Supersymmetric Standard Model with quark-flavour violation (QFV) in the squark sector. The renormalisation is done in the [Formula: see text] scheme. The gluon and photon radiations are included by adding the corresponding three-body decay widths. We discuss the dependence of the gluino decay widths on the QFV para...