349 research outputs found
On-shell recursion relations for all Born QCD amplitudes
We consider on-shell recursion relations for all Born QCD amplitudes. This
includes amplitudes with several pairs of quarks and massive quarks. We give a
detailed description on how to shift the external particles in spinor space and
clarify the allowed helicities of the shifted legs. We proof that the
corresponding meromorphic functions vanish at z --> infinity. As an application
we obtain compact expressions for helicity amplitudes including a pair of
massive quarks, one negative helicity gluon and an arbitrary number of positive
helicity gluons.Comment: 30 pages, minor change
No triangles on the moduli space of maximally supersymmetric gauge theory
Maximally supersymmetric gauge theory in four dimensions has a remarkably
simple S-matrix at the origin of its moduli space at both tree and loop level.
This leads to the question what, if any, of this structure survives at the
complement of this one point. Here this question is studied in detail at one
loop for the branch of the moduli space parameterized by a vacuum expectation
value for one complex scalar. Motivated by the parallel D-brane picture of
spontaneous symmetry breaking a simple relation is demonstrated between the
Lagrangian of broken super Yang-Mills theory and that of its higher dimensional
unbroken cousin. Using this relation it is proven both through an on- as well
as an off-shell method there are no so-called triangle coefficients in the
natural basis of one-loop functions at any finite point of the moduli space for
the theory under study. The off-shell method yields in addition absence of
rational terms in a class of theories on the Coulomb branch which includes the
special case of maximal supersymmetry. The results in this article provide
direct field theory evidence for a recently proposed exact dual conformal
symmetry motivated by the AdS/CFT correspondence.Comment: 39 pages, 4 figure
Unitarity, BRST Symmetry and Ward Identities in Orbifold Gauge Theories
We discuss the use of BRST symmetry and the resulting Ward identities for
orbifold gauge theories as consistency checks in an arbitrary number of
dimensions. We verify that both the usual orbifold symmetry breaking and the
recently proposed Higgsless symmetry breaking are consistent with the
nilpotency of the BRST transformation. Imposing the Ward identities resulting
from the BRST symmetry on the 4-point functions of theory, we obtain relations
on the coupling constants that are shown to be equivalent to the conditions for
tree level unitarity. We present the complete set of these sum rules also for
inelastic scattering and discuss applications to 6-dimensional models and to
incomplete matter multiplets on orbifold fixed points.Comment: 34 pages, LaTeX (feynmf.sty, url.sty and thophys.sty included),
v2:references added, v3:typos corrected, sec.3 revise
Multigluon tree amplitudes with a pair of massive fermions
We consider the calculation of n-point multigluon tree amplitudes with a pair
of massive fermions in QCD. We give the explicit transformation rules of this
kind of massive fermion-pair amplitudes with respect to different reference
momenta and check the correctness of them by SUSY Ward identities. Using these
rules and onshell BCFW recursion relation, we calculate the analytic results of
several n-point multigluon amplitudes.Comment: 15page
High precision fundamental constants at the TeV scale
This report summarizes the proceedings of the 2014 Mainz Institute for
Theoretical Physics (MITP) scientific program on "High precision fundamental
constants at the TeV scale". The two outstanding parameters in the Standard
Model dealt with during the MITP scientific program are the strong coupling
constant and the top-quark mass . Lacking knowledge on the
value of those fundamental constants is often the limiting factor in the
accuracy of theoretical predictions. The current status on and
has been reviewed and directions for future research have been identified.Comment: 57 pages, 24 figures, pdflate
A direct proof of the CSW rules
Using recursion methods similar to those of Britto, Cachazo, Feng and Witten
(BCFW) a direct proof of the CSW rules for computing tree-level gluon
amplitudes is given.Comment: 11 pages, uses axodraw.st
Four-fermion production near the W pair production threshold
We perform a dedicated study of the four-fermion production process e- e+ ->
mu- nubar_mu u dbar X near the W pair-production threshold in view of the
importance of this process for a precise measurement of the W boson mass.
Accurate theoretical predictions for this process require a systematic
treatment of finite-width effects. We use unstable-particle effective field
theory (EFT) to perform an expansion in the coupling constants, GammaW/MW, and
the non-relativistic velocity v of the W boson up to next-to-leading order in
GammaW/MW ~ alpha_ew ~ v^2. We find that the dominant theoretical uncertainty
in MW is currently due to an incomplete treatment of initial-state radiation.
The remaining uncertainty of the NLO EFT calculation translates into delta MW ~
10-15 MeV, and to about 5 MeV with additional input from the NLO four-fermion
calculation in the full theory.Comment: 53 pages, v2: version to be published, inessential modification
Massive amplitudes on the Coulomb branch of N=4 SYM
We initiate a systematic study of amplitudes with massive external particles
on the Coulomb-branch of N=4 super Yang Mills theory: 1) We propose that
(multi-)soft-scalar limits of massless amplitudes at the origin of moduli space
can be used to determine Coulomb-branch amplitudes to leading order in the
mass. This is demonstrated in numerous examples. 2) We find compact explicit
expressions for several towers of tree-level amplitudes, including scattering
of two massive W-bosons with any number of positive helicity gluons, valid for
all values of the mass. 3) We present the general structure of superamplitudes
on the Coulomb branch. For example, the n-point "MHV-band" superamplitude is
proportional to a Grassmann polynomial of mixed degree 4 to 12, which is
uniquely determined by supersymmetry. We find explicit tree-level
superamplitudes for this MHV band and for other simple sectors of the theory.
4) Dual conformal generators are constructed, and we explore the dual conformal
properties of the simplest massive amplitudes. Our compact expressions for
amplitudes and superamplitudes should be of both theoretical and
phenomenological interest; in particular the tree-level results carry over to
truncations of the theory with less supersymmetry.Comment: 29 pages, 1 figur
Monte Carlo Exploration of Warped Higgsless Models
We have performed a detailed Monte Carlo exploration of the parameter space
for a warped Higgsless model of electroweak symmetry breaking in 5 dimensions.
This model is based on the gauge group
in an AdS bulk with arbitrary gauge kinetic terms on both the Planck and
TeV branes. Constraints arising from precision electroweak measurements and
collider data are found to be relatively easy to satisfy. We show, however,
that the additional requirement of perturbative unitarity up to the cut-off,
TeV, in elastic scattering in the absence of dangerous
tachyons eliminates all models. If successful models of this class exist, they
must be highly fine-tuned.Comment: 26 pages, 7 figures; new fig and additional text adde
NLL soft and Coulomb resummation for squark and gluino production at the LHC
We present predictions of the total cross sections for pair production of
squarks and gluinos at the LHC, including the stop-antistop production process.
Our calculation supplements full fixed-order NLO predictions with resummation
of threshold logarithms and Coulomb singularities at next-to-leading
logarithmic (NLL) accuracy, including bound-state effects. The numerical effect
of higher-order Coulomb terms can be as big or larger than that of soft-gluon
corrections. For a selection of benchmark points accessible with data from the
2010-2012 LHC runs, resummation leads to an enhancement of the total inclusive
squark and gluino production cross section in the 15-30 % range. For individual
production processes of gluinos, the corrections can be much larger. The
theoretical uncertainty in the prediction of the hard-scattering cross sections
is typically reduced to the 10 % level.Comment: 45 pages, 16 Figures, LaTex. v2: published version. Grids with
numerical results for the NLL cross sections for squark and gluino production
at the 7/8 TeV LHC are included in the submission and are also available at
http://omnibus.uni-freiburg.de/~cs1010/susy.htm
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