Eur. Phys. J. C 24, 193-204 (2002)
DOI: 10.1007/s100520200942
Resummation of angular dependent corrections in spontaneously broken gauge theories
M. MellesPaul Scherrer Institute (PSI), 5232 Villigen, Switzerland
(Received: 12 February 2002 / Revised version: 7 March 2002 / Published online: 8 May 2002 - © Springer-Verlag / Società Italiana di Fisica 2002 )
Abstract
Recent investigations of electroweak radiative corrections have
revealed the
importance of higher order contributions in high energy processes,
where the size of typical corrections can exceed those associated
with QCD
considerably.
Beyond one loop,
only universal (angular independent) corrections are known to
all orders except
for massless
processes,
where also
angle dependent
corrections exist in the literature.
In this paper we present general arguments for the consistent
resummation of angle dependent subleading (SL) logarithmic
corrections to all
orders in
the regime where all invariants are still large compared to the
gauge boson
masses.
We discuss soft isospin correlations, fermion mass and gauge
boson
mass gap effects, the longitudinal
and Higgs boson sector as well as mixing contributions including
CKM effects
for massive quarks. Two loop results for the right handed Standard
Model are generalized
in the context of the
high energy effective theory based on the standard model Lagrangian
in the symmetric basis with the appropriate matching conditions
to include
the soft QED regime. The result is expressed in exponentiated
operator
form in a CKM extended isospin space in the symmetric basis.
Thus, a full electroweak
SL treatment based on the infrared evolution equation method
is
formulated for arbitrary high energy processes at future colliders.
Comparisons with known results are presented.
© Società Italiana di Fisica, Springer-Verlag 2002
