We present FlexibleEFTHiggs, a method for calculating the SM-like Higgs pole mass in SUSY (and even non-SUSY) models, which combines an effective field theory approach with diagrammatic calculation. It thus achieves all order resummation of leading logarithms together inclusion non-logarithmic 1-loop contributions. implement this into FlexibleSUSY and study its properties MSSM, NMSSM, E6SSM MRSSM. In it correctly interpolates between known results calculations literature high scale...

The measurements of the muon and electron anomalous magnetic moments hint at physics beyond standard model. We show why how models inspired by asymptotic safety can explain deviations from model predictions naturally. Our setup features an enlarged scalar sector Yukawa couplings between leptons new vector-like fermions. Using complete two-loop running couplings, we observe a well-behaved high energy limit including stabilization Higgs. find that manifest breaking lepton universality Yukawas...

$U(1)^\prime$ extensions of the standard model with generation-dependent couplings to quarks and leptons are investigated as an explanation anomalies in rare $B$-decays, emphasis on stability predictivity up Planck scale. To these ends, we introduce three generations vector-like singlet fermions, enlarged, flavorful scalar sector, and, possibly, right-handed neutrinos, all suitably charged under gauge interaction. We identify several gauge-anomaly free benchmarks consistent $B_s$-mixing...

A bstract Results for β -functions and anomalous dimensions in general scalar fermion theories are presented to three loops. Various constraints on the individual coefficients each diagram following from supersymmetry analysed. The results used discuss potential fixed points ε -expansion theories, with arbitrary numbers of fields, where there just two couplings one Yukawa coupling. For different examples follow a similar pattern as fermions is varied. diagrams subdivergences extensive...

We revisit the renormalisation group equations (RGE) for general renormalisable gauge theories at one- and two-loop accuracy. identify correct various mistakes in literature β-functions of dimensionful Lagrangian parameters (the fermion mass, bilinear trilinear scalar couplings) as well dimensionless quartic couplings. There are two sources these discrepancies. Firstly, known expressions couplings assume a diagonal wave-function which is not appropriate models with mixing sector. Secondly,...

Interacting fixed points in four-dimensional gauge theories coupled to matter are investigated using perturbation theory up three loop order. It is shown how points, scaling exponents, and anomalous dimensions obtained as a systematic power series small parameter. The underlying ordering principle explained contrasted with conventional Weyl consistency conditions. We then determine the conformal window asymptotic safety from complete next-to-next-to-leading order theory. Limits for arise due...

We perform a comprehensive search for Standard Model extensions inspired by asymptotic safety. Our models feature singlet matrix scalar field, three generations of vectorlike leptons, and direct links to the Higgs flavor sectors via new Yukawa portal couplings. A novel is that enlarged sector may spontaneously break lepton universality. provide complete two-loop renormalization group analysis running gauge, Yukawa, quartic couplings find ultraviolet fixed points critical surface parameters,...

We address the notorious metastability of standard model (SM) and promote it to a building task: What are new ingredients required stabilize SM up Planck scale without encountering subplanckian Landau poles? Using extended by vector-like fermions (VLFs), we chart out corresponding landscape Higgs stability. find that gauge portal mechanism, triggered charge carriers, opens sizeable room for stability in minimally invasive manner. also models with criticality, Yukawa portals opening at...

The recent measurement of the CP-asymmetry in decay $D \to K^+ K^-$ by LHCb, combined with $\Delta A_{\text{CP}}$, evidences a sizable \pi^+ \pi^-$ decays, which requires dynamical enhancement standard model higher-order contributions over tree-level ones factor two. data furthermore imply huge U-spin breaking, about 4-5 times larger than nominal one $\lesssim 30 \%$ charm. Enhanced breakdown two approximate symmetries points to models that violate and CP disfavors flavor singlet such as...

We investigate a family of four-dimensional quantum field theories with weakly interacting ultraviolet fixed points up to four-loop order in perturbation theory. Key new ingredients are the three-loop gauge contributions quartic scalar beta functions, which we compute $\overline{\mathrm{MS}}$ scheme for template $SU({N}_{c})$ theory coupled ${N}_{f}$ fundamental fermions and elementary scalars. then determine point couplings, mass anomalous dimensions, universal scaling exponents first three...

Using Majorana fermions and elementary mesons we find new massless quantum field theories with weakly interacting ultraviolet fixed points. We also classes of large $N$ equivalences among $SU$, $SO$, $Sp$ gauge different types matter fields Yukawa interactions. Results include a triality asymptotically safe dualities between free matter-gauge identical points, phase diagrams, scaling exponents. Implications for conformal theory orbifold reductions are indicated.

We investigate the $O(N)$--symmetric $\phi^6$ theory in three spacetime dimensions using dimensional regularisation and minimal subtraction. The predictions of other methods are scrutinised a large-$N$ expansion. show how tricritical line fixed point emerges strict $N\to\infty$ limit but argue that it is not physical manifestation. For first time this explicit manner, we compute effective potential at next-to-leading order $1/N$-expansion discuss its stability. Bardeen-Moshe-Bander...

A bstract We revisit the scalar potential in Litim-Sannino model. compute for first time full quantum corrections to classical and show that they significantly ameliorate stability analysis at UV fixed point. The effective is computed two-loop order numerical precision further improved using resummations parameter optimisations. As a result, we find consistent widening of conformal window across various approximations.

We revisit the stability of Standard Model vacuum and investigate its quantum effective potential using highest available orders in perturbation theory most accurate determination input parameters to date. observe that electroweak centrally depends on values top mass strong coupling constant. estimate reducing their uncertainties by a factor 2–3 is sufficient establish or refute at <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mn>5</a:mn><a:mi>σ</a:mi></a:math>...

We present MaRTIn, an extendable all-in-one package for calculating amplitudes up to two loops in expansion external momenta or using the method of infrared rearrangement. Renormalizable and non-renormalizable models can be supplied by user; implementation Standard Model is included package. In this manual, we discuss scope functionality software, give instructions its use.

We revisit the stability of Standard Model vacuum, and investigate its quantum effective potential using highest available orders in perturbation theory most accurate determination input parameters to date. observe that electroweak vacuum centrally depends on values top mass strong coupling constant. estimate reducing their uncertainties by a factor two is sufficient establish or refute SM at $5\sigma$ level. further for variety singlet scalar field extensions with without flavor Higgs...

A bstract We determine the three-loop $$ \overline{\textrm{MS}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>MS</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> quartic β -function for most general renormalisable four-dimensional theories. parametrisation of is compared to known -functions specific theories fix all coefficients. Three-loop cubic coupling and scalar mass terms also follow from result, which made available in software packages.

A bstract For arbitrary scalar QFTs in four dimensions, renormalisation group equations of quartic and cubic interactions, mass terms, as well field anomalous dimensions are computed at three-loop order the $$ \overline{\mathrm{MS}} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>MS</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> scheme. Utilising pre-existing literature expressions for a specific model, loop integrals avoided templates general theories...

We investigate asymptotically safe extensions of the Standard Model with new matter fields arising in TeV energy range. The sector contains singlet scalars and vector-like fermions representations which permit Yukawa interactions leptons. Phenomenological implications are explored including charged lepton flavour violation, Drell-Yan processes anomalous magnetic moments. For latter, we find that BSM contributions can be sizeable enough to explain present experimental discrepancies electron...

For arbitrary four-dimensional quantum field theories with scalars and fermions, renormalisation group equations in the $\overline{\text{MS}}$ scheme are investigated at three-loop order perturbation theory. Collecting literature results, general expressions obtained for anomalous dimensions, Yukawa interactions, as well fermion masses. The evolution of scalar quartic, cubic mass terms is determined up to a few unknown coefficients. combined results applied compute gaugeless Litim-Sannino model.

We investigate a family of four-dimensional quantum field theories with weakly interacting ultraviolet fixed points up to four loop order in perturbation theory. Key new ingredients are the three gauge contributions quartic scalar beta functions, which we compute $\overline{\text{MS}}$ scheme for template $SU(N_c)$ theory coupled $N_f$ fundamental fermions and elementary scalars. then determine point couplings, mass anomalous dimensions, universal scaling exponents first non-trivial orders...

The recent LHCb determination of the direct CP asymmetries in decays $D^0 \to K^+ K^-, \pi^+ \pi^-$ hints at a sizeable breaking two approximate symmetries SM: and U-spin. We aim explaining data with BSM physics use framework flavorful $Z^\prime$ models. Interestingly, experimental theoretical constraints very much narrow down shape viable models: Viable, anomaly-free models are electron- muon-phobic feature light 10-20 GeV coupling only to right-handed fermions. can be searched for low mass...