Tests of gauge parameter independence with the non-linear
gauge fixing condition
As described in the
paper we have made a comprehensive gauge test on 26 processes. The full
list is found here.
The test for each process is
presented in a table, like the one below for e+e- to W+ W-. The different
entries (x,0,0,0,0)
and (0,1,x,0,0)
refer to the sequence of the non-linear gauge parameters (alpha, beta,delta,epsilon,kappa).
The entry x means
that
the check is performed in that
variable, where all other parameters have the values given in the sequence,
either 0 or 1. In other words we check that the cross section is
independent of the parameter x. When
doing this check
we also allow for one more parameter
to be non zero (set to 1), all others are set to zero. The full table therefore
takes into account all possible cross
products of the gauge parameters.
eeww
|
alpha
|
(x,0,0,0,0)
|
(x,1,0,0,0)
|
(x,0,1,0,0)
|
(x,0,0,1,0)
|
(x,0,0,0,1)
|
|
beta
|
(1,x,0,0,0)
|
(0,x,0,0,0)
|
(0,x,1,0,0)
|
(0,x,0,1,0)
|
(0,x,0,0,1)
|
|
detla
|
(1,0,x,0,0)
|
(0,1,x,0,0)
|
(0,0,x,0,0)
|
(0,0,x,1,0)
|
(0,0,x,0,1)
|
|
epsilon
|
(1,0,0,x,0)
|
(0,1,0,x,0)
|
(0,0,1,x,0)
|
(0,0,0,x,0)
|
(0,0,0,x,1)
|
|
kappa
|
(1,0,0,0,x)
|
(0,1,0,0,x)
|
(0,0,1,0,x)
|
(0,0,0,1,x)
|
(0,0,0,0,x)
|
clicking on any entry of the table gives the detail of
the check. To help read each check let us give as an example the check
and give comments and explanation on its contents.