Behavior of Current Divergences under SU 3 × SU 3

We present a classically scale-invariant model with a confining dark sector, which is coupled to the Standard Model through the Higgs portal. The galactic centre gamma ray excess can be explained in this model by collision-induced dark matter decays to b-quarks. We discuss the possibility to obtain the dark matter relic density through thermal freeze-out, which however requires excessive fine-tuning. We then instead focus on a freeze-in scenario and perform detailed calculations and a parameter scan. We find that the observed relic density and the gamma ray excess can be explained by a wide range of parameters in this model.

Section: The Dark Technicolor Modelmentioning

confidence: 99%

Galactic centre GeV photons from dark technicolor

Heikinheimo

Spethmann

2014

“…A key advantage of hadronic τ -decay data is that it determines both the vector and the axial-vector spectral functions. This feature allows to check the saturation of a variety of chiral sum rules [13,[19][20][21], as well as to determine the chiral correlator at zero momentum [5,[21][22][23][24][25][26][27], proportional to the counter term of the order O(p 4 ) Lagrangian of chiral perturbation theory (CHPT),L 10 . It also allows for a determination of the chiral condensates of dimension d = 6 and d = 8 [5,13,[21][22][23][24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Chiral sum rules and vacuum condensates from tau-lepton decay data

Domínguez¹,

Hernández²,

Schilcher³

et al. 2015

QCD finite energy sum rules, together with the latest updated ALEPH data on hadronic decays of the tau-lepton are used in order to determine the vacuum condensates of dimension d = 2 and d = 4. These data are also used to check the validity of the Weinberg sum rules, and to determine the chiral condensates of dimension d = 6 and d = 8, as well as the chiral correlator at zero momentum, proportional to the counter term of the O(p 4 ) Lagrangian of chiral perturbation theory,L 10 . Suitable (pinched) integration kernels are introduced in the sum rules in order to suppress potential quark-hadron duality violations. We find no compelling indications of duality violations in the kinematic region above s ≃ 2.2 GeV 2 after using pinched integration kernels.

“…analogous to the Gell-Mann-Oakes-Renner (GOR) relation of QCD [6], as has been argued on the basis of the OZI-approximation of SYM [7]. Indeed, numerical investigations of both the gluino mass from supersymmetric Ward identities and the adjoint pion mass [8] have shown that the points of their vanishing are consistent with each other, and that m 2 a-π…”

Section: Jhep05(2014)034mentioning

confidence: 68%

“…The coefficient B 0 is the second low-energy constant, familiar from the case of QCD [6,14]. It is equal to the ratio of the gluino condensate λ λ to F 2 .…”

Section: Jhep05(2014)034mentioning

confidence: 99%

The mass of the adjoint pion in $ \mathcal{N} $ = 1 supersymmetric Yang-Mills theory

Münster

Stüwe

2014

In Monte Carlo simulations of N = 1 supersymmetric Yang-Mills theory the mass of the unphysical adjoint pion, which is easily obtained numerically, is being used for the tuning to the limit of vanishing gluino mass. In this article we show how to define the adjoint pion in the framework of partially quenched chiral perturbation theory and we derive a relation between its mass and the mass of the gluino analogous to the Gell-MannOakes-Renner relation of QCD.