The standard model effective potential at two loops

We propose a Majorana fermion dark matter in the context of a simple gaugeHiggs Unification (GHU) scenario based on the gauge group SU(3)×U(1) ′ in 5-dimensional Minkowski space with a compactification of the 5th dimension on S 1 /Z 2 orbifold. The dark matter particle is identified with the lightest mode in SU(3) triplet fermions additionally introduced in the 5-dimensional bulk. We find an allowed parameter region for the dark matter mass around a half of the Standard Model Higgs boson mass, which is consistent with the observed dark matter density and the constraint from the LUX 2016 result for the direct dark matter search. The entire allowed region will be covered by, for example, the LUX-ZEPLIN dark matter experiment in the near future. We also show that in the presence of the bulk SU(3) triplet fermions the 125 GeV Higgs boson mass is reproduced through the renormalization group evolution of Higgs quartic coupling with the compactification scale of around 10 8 GeV.

Section: Higgs Boson Mass In Effective Theory Approachmentioning

confidence: 84%

Section: Higgs Boson Mass In Effective Theory Approachmentioning

confidence: 99%

Fermion dark matter in gauge-Higgs unification

Maru

Miyaji

Okada

et al. 2017

“…3 In most cases, not involving any special mass patterns, one can choose the following basis of three master integrals, see figure 1, 4) besides integrals that factorize into products of one-and two-loop contributions. Two other simple integrals that are often encountered (see figure 2) can be reduced to these three with the help of integration-by-parts identities: where "cycl 1234 " refers to cyclic permutations of {m 1 , m 2 , m 3 , m 4 }, and A 0 (m 2 ) is the standard one-loop vacuum function (see appendix C).…”

Section: Definition Of Basic Integralsmentioning

confidence: 99%

“…[3]) or as building blocks in more general three-loop calculations. At the two-loop level, analytical formulae for general vacuum integrals have been known for some time [3][4][5]. When expanding in powers of ǫ = (4−D)/2 within dimensional JHEP11(2016)145 regularization, they can be written in terms of polylogarithms.…”

Section: Introductionmentioning

confidence: 99%

Three-loop vacuum integrals with arbitrary masses

Freitas

2016

Three-loop vacuum integrals are an important building block for the calculation of a wide range of three-loop corrections. Until now, analytical results for integrals with only one and two independent mass scales are known, but in the electroweak Standard Model and many extensions thereof, one often encounters more mass scales of comparable magnitude. For this reason, a numerical approach for the evaluation of three-loop vacuum integrals with arbitrary mass pattern is proposed here. Concretely, one can identify a basic set of three master integral topologies. With the help of dispersion relations, each of these can be transformed into one-dimensional or, for the most complicated case, two-dimensional integrals in terms of elementary functions, which are suitable for efficient numerical integration.

“…We use 2-loop expressions for the SM beta functions [56][57][58][59][60] and add the 1-loop contributions from the new leptons. The running of the Higgs quartic coupling was already given in (3.7).…”

Section: Jhep01(2014)060mentioning

confidence: 99%

Exotic leptons: Higgs, flavor and collider phenomenology

Altmannshofer

Bauer

Carena

2014

We study extensions of the standard model by one generation of vector-like leptons with non-standard hypercharges, which allow for a sizable modification of the h → γγ decay rate for new lepton masses in the 300 GeV-1 TeV range. We analyze vacuum stability implications for different hypercharges. Effects in h → Zγ are typically much smaller than in h → γγ, but distinct among the considered hypercharge assignments. Nonstandard hypercharges constrain or entirely forbid possible mixing operators with standard model leptons. As a consequence, the leading contributions to the experimentally strongly constrained electric dipole moments of standard model fermions are only generated at the two loop level by the new CP violating sources of the considered setups. We derive the bounds from dipole moments, electro-weak precision observables and lepton flavor violating processes, and discuss their implications. Finally, we examine the production and decay channels of the vector-like leptons at the LHC, and find that signatures with multiple light leptons or taus are already probing interesting regions of parameter space.