Following the updated measurement of lepton flavour universality (LFU) ratio R_K in B -> Kll decays by LHCb, as well a number further measurements, e.g. R_K* Belle and B_s mu ATLAS, we analyse global status new physics b s transitions weak effective theory at b-quark scale, Standard Model electroweak simplified models physics. We find that data continues to strongly prefer solution with semi-leptonic Wilson coefficients. A purely muonic contribution combination C_9 = -C_10, suited...

Following the 1999 analysis of Gambino, Haisch and one us, we stress that all recent NLO analyses $\varepsilon'/\varepsilon$ in Standard Model (SM) suffer from renormalization scheme dependence present electroweak penguin contributions as well scale uncertainties them related to matching $\mu_W$ particular $\mu_t$ $m_t(\mu_t)$. We also reemphasize important role isospin-breaking QED effects evaluation $\varepsilon'/\varepsilon$. Omitting these effects, done 2015 by RBC-UKQCD collaboration,...

General analyses of B-physics processes beyond the Standard Model require accounting for operator mixing in renormalization-group evolution from matching scale down to typical B physics. For this purpose anomalous dimensions full set local dimension-six operators are needed. We present here first time a complete and non-redundant relevant B-meson decay, together with one-loop QCD QED. These results an important step towards automation general New Physics analyses.

New physics realized above the electroweak scale can be encoded in a model independent way Wilson coefficients of higher dimensional operators which are in-variant under Standard Model gauge group. In this article, we study matching SU(3) C × SU(2) L U(1) Y invariant dimension-six on standard B Hamiltonian relevant for b → s and c transitions. The is performed at (after spontaneous symmetry breaking) by integrating out top quark, W , Z Higgs particle. We first carry that give contribution...

We present a global likelihood function in the space of dimension-six Wilson coefficients Standard Model Effective Field Theory (SMEFT). The includes contributions from flavour-changing neutral current B decays, lepton flavour universality tests charged- and neutral-current K meson-antimeson mixing observables K, B, D systems, direct CP violation -> {\pi}{\pi}, charged violating tau, muon electroweak precision on Z W poles, anomalous magnetic moments electron, muon, several other...

A bstract We perform a model-independent analysis of the magnetic and electric dipole moments muon electron. give expressions for in terms operator coefficients low-energy effective field theory (LEFT) Standard Model (SMEFT). use one-loop renormalization group improved perturbation theory, including matching from SMEFT onto LEFT, lepton matrix elements effective-theory operators. Semileptonic four-fermion operators involving light quarks sizable non-perturbative contributions to moments,...

In light of new data we present an updated phenomenological analysis the simplified U1 -leptoquark model addressing charged-current B-meson anomalies. The shows a good compatibility low-energy (dominated by lepton flavor universality ratios RD and RD∗ ) with high-energy constraints posed pp→ττ¯ Drell-Yan data. We also show that are well compatible framework where leptoquark couples similar strength to both left- right-handed third-generation fermions, scenario is well-motivated from building...

wilson is a Python library for matching and running Wilson coefficients of higher-dimensional operators beyond the Standard Model. Provided with numerical values at high new physics scale, it automatically performs renormalization group evolution within Model effective field theory (SMEFT), onto weak (WET) electroweak QCD/QED below scale down to hadronic scales relevant low-energy precision tests. The encompasses complete set dimension-six in both SMEFT WET. program builds on coefficient...

We present for the first time a master formula ε′/ε, ratio probing direct CP violation in K→ππ decays, valid any ultraviolet extension of Standard Model (BSM). The makes use hadronic matrix elements BSM operators calculated recently Dual QCD approach and ones SM from lattice QCD. emphasize large impact several scalar tensor context emerging ε′/ε anomaly. have implemented results open source code flavio.

Leptoquarks (LQs) provide very promising solutions to the tensions between experimental measurements and SM predictions of $b\to s\ell^+\ell^-$ c\tau\nu$ processes. In this case LQ masses are in general at TeV scale they can thus be produced high energy colliders dedicated LHC searches ongoing. While for production decay $O(\alpha_s)$ corrections have been known a long time, matching on 2-quark-2-lepton operators not calculated, yet. article we close gap by computing QCD models effective...

A bstract Applying an operator product expansion approach we update the Standard Model prediction of B c lifetime from over 20 years ago. The non-perturbative velocity is carried out up to third order in relative heavy quarks. scheme dependence studied using three different mass schemes for $$ \overline{b} <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mi>b</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> and quarks, resulting values consistent with each other...

A bstract The Standard Model Effective Field Theory (SMEFT) and the Low Energy (LEFT) can be extended by adding additional spin 0, 1/2 1 dark matter particles which are singlets under (SM) gauge group. We classify all invariant interactions in Lagrangian up to terms of dimension six, present tree-level matching conditions between two theories at electroweak scale. most widely studied models, such as those based on Higgs portal or kinetic mixing photon a photon, dimension-four with SM sector....

Basis transformations often involve Fierz and other relations that are only valid in $D=4$ dimensions. In general $D$ spacetime dimensions, however, evanescent operators have to be introduced order preserve such identities. Such contribute one-loop basis as well two-loop renormalization group running. We present a simple procedure on how systematically change at the level by obtaining shifts due operators. As an example we apply this method derive transformation from Buras, Misiak Urban...

We derive the complete set of two-loop anomalous dimensions describing mixing four-fermion operators in Low Energy Effective Field Theory (LEFT). The calculation is performed Naive Dimensional Regularization with anticommuting $\gamma_5$ (the NDR scheme), and results are given "JMS basis" dimension-six operators. derivation relies on known for UV poles diagrams QCD, which then used to Anomalous Dimension Matrix (ADM) full including $O(\alpha_s^2)$, $O(\alpha_s\alpha)$ $O(\alpha^2)$...

We classify the physical operators of most general bosonic effective gauge theory up to dimension six using on-shell methods. Based on this classification, we compute complete one-loop anomalous employing both unitarity-based and geometric techniques. Our analysis fully accounts for mixing with different dimensions. The results broadly apply any Effective Field Theory arbitrary symmetry degrees freedom. To illustrate their utility, perform a cross-check renormalization Standard Model...

We present for the first time a model-independent anatomy of ratio $\varepsilon'/\varepsilon$ in context $ΔS = 1$ effective theory with operators invariant under QCD and QED Standard Model Effective Field Theory (SMEFT) full SM gauge group. Our goal is to identify new physics scenarios that are probed by this which could help explain possible deviation from hinted data. To end we derive master formula $\varepsilon'/\varepsilon$, can be applied any beyond (BSM) Wilson coefficients all...

We reanalyse the ratio $\varepsilon'/\varepsilon$ in Standard Model (SM) using most recent hadronic matrix elements from RBC-UKQCD collaboration combination with important NNLO QCD corrections to electroweak penguin contributions and isospin-breaking corrections. illustrate importance of latter by their latest estimate chiral perturbation theory (ChPT) based on $octet$ approximation for lowest-lying mesons a very $nonet$ scheme that takes into account contribution $\eta_0$. find...

A bstract We present a model-independent anatomy of the ∆ F = 2 transitions K 0 − $$ {\overline{K}}^0 <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mover> <mml:mi>K</mml:mi> <mml:mo>¯</mml:mo> </mml:mover> <mml:mn>0</mml:mn> </mml:msup> </mml:math> , B s,d {\overline{B}}_{s,d} <mml:msub> <mml:mi>B</mml:mi> <mml:mrow> <mml:mi>s</mml:mi> <mml:mo>,</mml:mo> <mml:mi>d</mml:mi> </mml:mrow> </mml:msub> and D {\overline{D}}^0 <mml:mi>D</mml:mi> in context Standard Model...

A bstract We present a proof of the factorization renormalization scheme in one-loop-corrected Fierz identities. This facilitates simultaneous transformation operator basis and using only relations between physical operators; evanescent operators respective bases may be chosen entirely independently each other. The two is automatically accounted for by corrected illustrate utility this result with two-loop anomalous dimension matrix computation Naive-Dimensional Regularization scheme, which...

We study the contribution from dipole operators to one-loop Fierz identities and provide resulting QCD QED shifts tree-level relations for all four-fermion operators. The results simplify basis changes as well matching computations allow one consistently eliminate an operator which give rise complications, e.g. traces involving $\gamma_5$.

A bstract Fierz transformations for four-fermion operators are generalized to the one-loop level. general renormalization scheme is used compute QCD and QED corrections tree-level relations, which result from Fierz-evanescent operators. The results can be perform basis involving four-fermi evanescent We illustrate usefulness of our by discussing two examples a matching calculation change.

A bstract We calculate for the first time all four-quark hadronic matrix elements of local operators possibly contributing to K → ππ decays and in particular ratio ε ′ /ε beyond Standard Model (BSM). To this end we use Dual QCD (DQCD) approach. In addition 7 new mirror obtained from SM ones by flipping chirality, count 13 BSM a given chirality linearly independent each other aforesaid 14 which are already known. present results two bases these operators, one termed DQCD basis useful...

Recently the RBC-UKQCD lattice collaboration presented new results for hadronic matrix elements relevant ratio $\varepsilon'/\varepsilon$ in Standard Model (SM). With present knowledge of Wilson coefficients and isospin breaking effects there is still much room physics (NP) contributions to which could both enhance or suppress this agree with data. The SM value $K^0-\bar K^0$ mass difference $\Delta M_K$ from on other hand by $2\sigma$ above data hinting NP required M_K$. Simultaneously most...