377 research outputs found
Dimension-Six Terms in the Standard Model Lagrangian
When the Standard Model is considered as an effective low-energy theory,
higher dimensional interaction terms appear in the Lagrangian. Dimension-six
terms have been enumerated in the classical article by Buchmueller and Wyler
[3]. Although redundance of some of those operators has been already noted in
the literature, no updated complete list has been published to date. Here we
perform their classification once again from the outset. Assuming baryon number
conservation, we find 15 + 19 + 25 = 59 independent operators (barring flavour
structure and Hermitian conjugations), as compared to 16 + 35 + 29 = 80 in
Ref.[3]. The three summed numbers refer to operators containing 0, 2 and 4
fermion fields. If the assumption of baryon number conservation is relaxed, 4
new operators arise in the four-fermion sector.Comment: 16 pages, no figures, v3: Redundant B-violating operator remove
Anomalous Neutrino Reactions at HERA
We study the sensitivity of HERA to new physics using the helicity suppressed
reaction , where the final neutrino can be a standard
model one or a heavy neutrino. The approach is model independent and is based
on an effective lagrangian parametrization. It is shown that HERA will put
significant bounds on the scale of new physics, though, in general, these are
more modest than previously thought. If deviations from the standard model are
observed in the above processes, future colliders such as the SSC and LHC will
be able to directly probe the physics responsible for these discrepancies}Comment: 11 Pages + 2 figures is TOPDRAWER (included at the end or available
by mail). Report UCRHEP-T113 (requires the macropackage PHYZZX). A line in
the TeX file requesting an input file has been removed, it caused problem
Testing the Higgs boson gluonic couplings at LHC
We study Higgs + jet production at hadron colliders in order to look for new
physics residual effects possibly described by the operators
{\O}_{GG} and {\widetilde\O}_{GG} which induce anomalous and
couplings. Two ways for constraining these operators at LHC may be ~useful. The
first is based on the total Higgs boson production rate induced by gluon-gluon
fusion, in which the main cause of limitations are due to theoretical
uncertainties leading to sensitivities of and
for the corresponding anomalous
couplings, in the mass range 100 GeV \lsim \mh \lsim 2~00 GeV. These results
imply sensitivity to new physics scales of 51 and 24 TeV respectively. The
second way investigated here concerns the shape of the Higgs transverse
momentum; for which the theoretical uncertainties are less severe and the
limitations are mainly induced by statistics. A simple analysis, based on the
ratio of the number of events at large and low at LHC, leads to similar
sensitivities, if only the decay mode is used. But the
sensitivities can now be improved by a factor 2 to 10, depending on the Higgs
mass, if the Higgs decay modes to , , , are also used.Comment: 23 pages and 7 figures, version to appear in Phys.ReV.D. e-mail:
[email protected]
Field Transformations and the Classical Equation of Motion in Chiral Perturbation Theory
The construction of effective Lagrangians commonly involves the application
of the `classical equation of motion' to eliminate redundant structures and
thus generate the minimal number of independent terms. We investigate this
procedure in the framework of chiral perturbation theory. The use of the
'classical equation of motion' is interpreted in terms of field
transformations. Such an interpretation is crucial if one wants to bring a
given Lagrangian into a canonical form with a minimal number of terms. We
emphasize that the application of field transformations not only eliminates
structures, or, what is equivalent, expresses certain structures in terms of
already known different structures, but also leads to a modification of
coefficients of higher--order terms. This will become relevant, once one
considers effective interaction terms beyond next--to--leading order, i.e.,
beyond .Comment: TRIUMF preprint TRI-PP-94-64, 10 pages in LaTex using RevTex macr
A Perturbative Calculation of the Electromagnetic Form Factors of the Deuteron
Making use of the effective field theory expansion recently developed by the
authors, we compute the electromagnetic form factors of the deuteron
analytically to next-to-leading order (NLO). The computation is rather simple,
and involves calculating several Feynman diagrams, using dimensional
regularization. The results agree well with data and indicate that the
expansion is converging. They do not suffer from any ambiguities arising from
off-shell versus on-shell amplitudes.Comment: 22 pages, 8 figures. Discussion of effective range theory added,
typos correcte
Higgs-Boson Mass Limits and Precise Measurements beyond the Standard Model
The triviality and vacuum stability bounds on the Higgs-boson mass (\mh)
were revisited in presence of weakly-coupled new interactions parameterized in
a model-independent way by effective operators of dimension 6. The constraints
from precision tests of the Standard Model were taken into account. It was
shown that for the scale of new physics in the region \Lambda \simeq 2 \div 50
\tev the Standard Model triviality upper bound remains unmodified whereas it
is natural to expect that the lower bound derived from the requirement of
vacuum stability is substantially modified depending on the scale \La and
strength of coefficients of effective operators. A natural generalization of
the standard triviality condition leads also to a substantial reduction of the
allowed region in the (\Lambda,\mh) space.Comment: 18 pages 3 eps figures. The discussion in the appendix was modified
slightly and some typographical errors were correcte
Bounds on the Higgs-Boson Mass in the Presence of Non-Standard Interactions
The triviality and vacuum stability bounds on the Higgs-boson mass are
revisited in the presence of new interactions parameterized in a
model-independent way by an effective lagrangian. When the scale of new physics
is below 50 TeV the triviality bound is unchanged but the stability lower bound
is increased by 40-60 GeV. Should the Higgs-boson mass be close to its current
lower experimental limit, this leads to the possibility of new physics at the
scale of a few TeV, even for modest values of the effective lagrangian
parameters.Comment: 5 pages, 2 figures, RevTex, submitted to PR
Virtual Compton scattering off the nucleon at low energies
We investigate the low-energy behavior of the four-point Green's function
describing virtual Compton scattering off the nucleon.
Using Lorentz invariance, gauge invariance, and crossing symmetry, we derive
the leading terms of an expansion of the operator in the four-momenta and
of the initial and final photon, respectively.
The model-independent result is expressed in terms of the electromagnetic
form factors of the free nucleon, i.e., on-shell information which one obtains
from electron-nucleon scattering experiments.
Model-dependent terms appear in the operator at ,
whereas the orders and are
contained in the low-energy theorem for , i.e., no new
parameters appear.
We discuss the leading terms of the matrix element and comment on the use of
on-shell equivalent electromagnetic vertices in the calculation of ``Born
terms'' for virtual Compton scattering.Comment: 26 pages, RevTex, to appear in Phys. Rev.
Extension of the Chiral Perturbation Theory Meson Lagrangian to Order
We have derived the most general chirally invariant Lagrangian
for the meson sector at order . The result provides an extension of the
standard Gasser-Leutwyler Lagrangian to one higher order,
including as well all the odd intrinsic parity terms in the Lagrangian. The
most difficult part of the derivation was developing a systematic strategy so
as to get all of the independent terms and eliminate the redundant ones in an
efficient way. The 'equation of motion' terms, which are redundant in the sense
that they can be transformed away via field transformations, are separated out
explicitly. The resulting Lagrangian has been separated into groupings of terms
contributing to increasingly more complicated processes, so that one does not
have to deal with the full result when calculating contributions to
simple processes.Comment: 59 pages in LaTex, using RevTex macro, TRIUMF preprint TRI-PP-94-6
Effective Theory of a Dynamically Broken Electroweak Standard Model at NLO
We consider the Standard Model as an effective theory at the weak scale
of a generic new strong interaction that dynamically breaks electroweak
symmetry at the energy scale (few) TeV. Assuming only the
minimal field content with the Standard Model fermions and gauge bosons, but
without a light Higgs particle, we construct the complete Lagrangian through
next-to-leading order, that is, including terms of order . The
systematics behind this expansion is clarified. Although similar to chiral
perturbation theory, it is not governed by the dimension of operators alone,
but depends in an essential way on the loop expansion. Power-counting formulas
are derived that indicate the classes of operators required at the
next-to-leading order. The complete set of operators at leading and
next-to-leading order is then listed, based on the restrictions implied by the
Standard-Model gauge symmetries. We recover the well-known operators discussed
in the literature in connection with the electroweak chiral Lagrangian and in
similar contexts, but we collect a complete and systematic list of all terms
through order . This includes some operators not discussed in
explicit terms before. We also show that a few of the previously considered
operators can be eliminated via the equations of motion. As another important
result we confirm the known list of dimension-6 operators in the Standard Model
with an elementary Higgs doublet, essentially as a special case of our
scenario.Comment: 35 pages, 1 figure; references adde
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