Peter Uwer

Nested sums, expansion of transcendental functions, and multiscale multiloop integrals

Expansion of higher transcendental functions in a small parameter are needed in many areas of science. For certain classes of functions this can be achieved by algebraic means. These algebraic tools are based on nested sums and can be formulated as algorithms suitable for an implementation on a computer. Examples such as expansions of generalized hypergeometric functions or Appell functions are discussed. As a further application, we give the general solution of a two-loop integral, the so-called C-topology, in terms of multiple nested sums. In addition, we discuss some important properties of nested sums, in particular we show that they satisfy a Hopf algebra.

Measuring the running top-quark mass

We present the first direct determination of the running top-quark mass based on the total cross section of top-quark pair production as measured at the Tevatron. Our theory prediction for the cross section includes various next-to-next-to-leading order QCD contributions, in particular, all logarithmically enhanced terms near threshold, the Coulomb corrections at two loops and all explicitly scale-dependent terms at next-to-next-to-leading order accuracy. The result allows for an exact and independent variation of the renormalization and factorization scales. For Tevatron and LHC we study its dependence on all scales, on the parton luminosity and on the top-quark mass using both the conventional pole mass definition as well as the running mass in the

HATHOR for single top-quark production: Updated predictions and uncertainty estimates for single top-quark production in hadronic collisions

overline{mathrm{MS}}

Hadronic top-quark pair-production with one jet and parton showering

scheme. We extract for the top quark an

Physics at the e+ e- Linear Collider

overline{mathrm{MS}}

Top-quark pair production near threshold at LHC

mass of

Update of the Binoth Les Houches Accord for a standard interface between Monte Carlo tools and one-loop programs

m(ensuremath{mu}=m)={160.0}_{ensuremath{-}3.2}^{+3.3}text{ }text{ }mathrm{GeV}

A new observable to measure the top-quark mass at hadron colliders

, which corresponds to a pole mass of

On top-pair hadro-production at next-to-next-to-leading order

{m}_{t}={168.9}_{ensuremath{-}3.4}^{+3.5}text{ }text{ }mathrm{GeV}

NLO QCD corrections to pp/pp¯→WW+jet+X including leptonic W-boson decays

.