2,452 research outputs found
On the infrared behaviour of 3d Chern-Simons theories in N=2 superspace
We discuss the problem of infrared divergences in the N=2 superspace approach
to classically marginal three-dimensional Chern-Simons-matter theories.
Considering the specific case of ABJM theory, we describe the origin of such
divergences and offer a prescription to eliminate them by introducing
non-trivial gauge-fixing terms in the action. We also comment on the extension
of our procedure to higher loop order and to general three-dimensional
Chern-Simons-matter models.Comment: 26 pages, 6 figures, JHEP3; v2: minor corrections and references
added; v3: introduction expanded, presentation of section 3.3.1 improved,
references added, version to appear in JHE
Form factors of chiral primary operators at two loops in ABJ(M)
archiveprefix: arXiv primaryclass: hep-th reportnumber: NORDITA-2013-34 slaccitation: %%CITATION = ARXIV:1305.2422;%%archiveprefix: arXiv primaryclass: hep-th reportnumber: NORDITA-2013-34 slaccitation: %%CITATION = ARXIV:1305.2422;%%archiveprefix: arXiv primaryclass: hep-th reportnumber: NORDITA-2013-34 slaccitation: %%CITATION = ARXIV:1305.2422;%
Two-loop Sudakov form factor in ABJM
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An all order identity between ABJM and N=4 SYM four-point amplitudes
We derive an exact algebraic identity between the two-loop four-point
amplitude in ABJM theory and the corresponding one-loop amplitude in N=4 SYM
theory. This identity generalizes previous partial results to an exact relation
valid at all orders in the IR regulator. Moreover, it allows to conjecture an
exact iterative expression for the complete three dimensional amplitude in
terms of the BDS ansatz for the four dimensional one, indicating that the
strict relation between the two amplitudes experimented at two loops might
propagate to all orders. In particular, an almost complete expression for the
ABJM amplitude at four loops is derived.Comment: 1+24 page
Light MSSM Higgs boson mass to three-loop accuracy
The light CP even Higgs boson mass, Mh, is calculated to three-loop accuracy
within the Minimal Supersymmetric Standard Model (MSSM). The result is
expressed in terms of DRbar parameters and implemented in the computer program
H3m. The calculation is based on the proper approximations and their
combination in various regions of the parameter space. The three-loop effects
to Mh are typically of the order of a few hundred MeV and opposite in sign to
the two-loop corrections. The remaining theory uncertainty due to higher order
perturbative corrections is estimated to be less than 1 GeV.Comment: 39 pages, 13 figures. v2: minor changes, typos fixe
Mellin Amplitudes for Dual Conformal Integrals
Motivated by recent work on the utility of Mellin space for representing
conformal correlators in /CFT, we study its suitability for representing
dual conformal integrals of the type which appear in perturbative scattering
amplitudes in super-Yang-Mills theory. We discuss Feynman-like rules for
writing Mellin amplitudes for a large class of integrals in any dimension, and
find explicit representations for several familiar toy integrals. However we
show that the power of Mellin space is that it provides simple representations
even for fully massive integrals, which except for the single case of the
4-mass box have not yet been computed by any available technology. Mellin space
is also useful for exhibiting differential relations between various multi-loop
integrals, and we show that certain higher-loop integrals may be written as
integral operators acting on the fully massive scalar -gon in
dimensions, whose Mellin amplitude is exactly 1. Our chief example is a very
simple formula expressing the 6-mass double box as a single integral of the
6-mass scalar hexagon in 6 dimensions.Comment: 29+7 page
NLO QCD bottom corrections to Higgs boson production in the MSSM
We present a calculation of the two-loop bottom-sbottom-gluino contributions
to Higgs boson production via gluon fusion in the MSSM. The calculation is
based on an asymptotic expansion in the masses of the supersymmetric particles,
which are assumed to be much heavier than the bottom quark and the Higgs
bosons. We obtain explicit analytic results that allow for a straightforward
identification of the dominant contributions in the NLO bottom corrections. We
emphasize the interplay between the calculations of the masses and the
production cross sections of the Higgs bosons, discussing sensible choices of
renormalization scheme for the parameters in the bottom/sbottom sector.Comment: 25 pages, 4 figures. v2: references and two figures added, version
published in JHE
Dualities for Loop Amplitudes of N=6 Chern-Simons Matter Theory
In this paper we study the one- and two-loop corrections to the four-point
amplitude of N=6 Chern-Simons matter theory. Using generalized unitarity
methods we express the one- and two-loop amplitudes in terms of dual-conformal
integrals. Explicit integration by using dimensional reduction gives vanishing
one-loop result as expected, while the two-loop result is non-vanishing and
matches with the Wilson loop computation. Furthermore, the two-loop correction
takes the same form as the one-loop correction to the four-point amplitude of
N=4 super Yang-Mills. We discuss possible higher loop extensions of this
correspondence between the two theories. As a side result, we extend the method
of dimensional reduction for three dimensions to five dimensions where dual
conformal symmetry is most manifest, demonstrating significant simplification
to the computation of integrals.Comment: 32 pages and 6 figures. v2: minus sign corrections, ref updated v3:
Published versio
Neutrino Mass and from a Mini-Seesaw
The recently proposed "mini-seesaw mechanism" combines naturally suppressed
Dirac and Majorana masses to achieve light Standard Model neutrinos via a
low-scale seesaw. A key feature of this approach is the presence of multiple
light (order GeV) sterile-neutrinos that mix with the Standard Model. In this
work we study the bounds on these light sterile-neutrinos from processes like
\mu ---> e + \gamma, invisible Z-decays, and neutrinoless double beta-decay. We
show that viable parameter space exists and that, interestingly, key
observables can lie just below current experimental sensitivities. In
particular, a motivated region of parameter space predicts a value of BR(\mu
---> e + \gamma) within the range to be probed by MEG.Comment: 1+26 pages, 7 figures. v2 JHEP version (typo's fixed, minor change to
presentation, results unchanged
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