We present a three-site Pati–Salam gauge model able to explain the Standard Model flavor hierarchies while, at same time, accommodating recent experimental hints of lepton-flavor non-universality in B decays. The is consistent with low- and high-energy bounds, predicts rich spectrum new states TeV scale that could be probed near future by high-pT experiments LHC.

We study the generic features of minimal gauge extensions Standard Model in view recent hints lepton-flavor non-universality semi-leptonic $b \to s \ell^+ \ell^-$ and c \ell \nu$ decays. classify possible models according to symmetry-breaking pattern source flavor non-universality. find that viable $\mathrm{SU(2)}_L$ factor is embedded non-trivially extended group, couplings should be universal, hinting presence new degrees freedom sourcing Finally, we provide an explicit model can explain...

We define a new class of ${Z}^{\ensuremath{'}}$ models with neutral flavor-changing interactions at tree level in the down-quark sector. They are related an exact way to elements quark mixing matrix due underlying flavored ${\mathrm{U}(1)}^{\ensuremath{'}}$ gauge symmetry, rendering these particularly predictive. The same symmetry implies lepton-flavor nonuniversal couplings, fully determined by structure model. Our allow us address presently observed deviations from standard model and...

A bstract We present a thorough investigation of the vector leptoquark hypothesis for combined explanation B -physics anomalies. analyze this from twofold perspective, taking into account recent results observables and high- p T searches. First, using simplified model, we determine general conditions successful low-energy fit in presence right-handed couplings (neglected previous analyses). Second, show how these conditions, particular sizable 2-3 family mixing, can be achieved motivated...

We investigate a gauge extension of the Standard Model in light observed hints lepton universality violation b → cℓν and sℓ + ℓ − decays at BaBar, Belle LHCb. The model consists an extended group SU(2)1 × SU(2)2 U(1) Y which breaks spontaneously around TeV scale to electroweak group. Fermion mixing effects with vector-like fermions give rise potentially large new physics contributions flavour transitions mediated by W′ Z′ bosons. This can ease tensions B-physics data while satisfying...

We present DsixTools, a Mathematica package for the handling of dimension-six Standard Model Effective Field Theory. Among other features, DsixTools allows user to perform full one-loop Renormalization Group Evolution Wilson coefficients in Warsaw basis. This is achieved thanks SMEFTrunner module, which implements anomalous dimension matrix previously derived literature. In addition, also contains modules devoted matching $\Delta B = \Delta S 1,2$ and C 1$ operators Weak Theory at...

A bstract The three-site Pati-Salam gauge model provides a consistent description for the hints of lepton-flavor non-universality observed in B decays, connecting present pattern “anomalies” to origin Standard Model Yukawa couplings. We here detailed analysis predictions series low-energy observables, mainly and τ physics. is good agreement with data predicts well-defined non-standard effects observables that could allow us test it near future. Particularly interesting are large → μ Lepton...

Motivated by the recent LHCb announcement of a $3.1\sigma$ violation lepton-flavor universality in ratio $R_K=\Gamma(B\to K\mu^+\mu^-)/\Gamma(B\to K e^+ e^-)$, we present an updated, comprehensive analysis flavor anomalies seen both neutral-current ($b\to s\ell^+\ell^-$) and charged-current c\tau\bar\nu$) decays $B$ mesons. Our study starts from model-independent effective field-theory approach then considers simplified model UV-complete extension Standard Model featuring vector leptoquark...

Studying the impact of new-physics models on low-energy observables necessitates matching to effective field theories at relevant mass thresholds. We introduce first public version Matchete, a computer tool for weakly-coupled one-loop order. It uses functional methods directly compute all contributions in manifestly gauge-covariant manner, while simplification eliminate redundant operators from output. sketch workings program and provide examples how match simple Standard Model extensions....

A bstract We propose a mechanism that allows for sizeable flavour violation in quark-lepton currents, while suppressing changing neutral currents quark-quark and lepton-lepton sectors. The is applied to the recently proposed “4321” renormalizable model, which can accommodate current experimental anomalies B -meson decays, both charged remaining consistent with all other indirect electroweak precision measurements direct searches at high- p T . To support this claim, we present an exhaustive...

The basic features of quark and lepton mass matrices can be successfully explained by natural minima a generic potential with dynamical Yukawa fields invariant under the $[\mathrm{SU(3)}]^5\times \mathcal{O}(3)$ flavor symmetry. If this symmetry is gauged, in order to avoid potentially dangerous Goldstone bosons, small perturbations are added exactly fit observed pattern fermion masses, spectrum massive gauge bosons naturally explain hints for new physics $b\to s \ell^+\ell^-$ transitions,...

We study the implications of recent measurements ${R}_{K}$ and ${R}_{{K}^{*}}$ by LHCb Collaboration. do that adopting a model-independent approach based on Standard Model effective field theory (SMEFT), with dominant new physics (NP) effects encoded in coefficients dimension-6 operators respecting full (SM) gauge symmetry. After providing simplified expressions for ${R}_{{K}^{*}}$, we determine results these observables SMEFT at low high energies. also take into account all...

We present a systematic procedure to obtain the one-loop low-energy effective Lagrangian resulting from integrating out heavy fields of given ultraviolet theory. show that matching coefficients are determined entirely by hard region functional determinant involving fields. This represents an important simplification with respect conventional approach, where full and theory contributions have be computed separately cancellation infrared divergent parts has take place. illustrate method...

Motivated by the recent hints of lepton flavor universality violation observed in semileptonic B decays, we analyze how to test and helicity structures corresponding amplitudes view future data. We show that general assumption such non-standard effects are controlled a U(2)q×U(2)ℓ symmetry, minimally broken as Standard Model Yukawa sector, leads stringent predictions on leptonic decays. Future measurements RD(⁎), RK(⁎), B(B¯c,u→ℓν¯), B(B¯→πℓν¯), B(B→πℓℓ¯), B(Bs,d→ℓℓ¯(′)), well various...

We present a systematic survey of possible short-distance new-physics effects in (semi)leptonic charged- and neutral-current charmed meson decays. Using the Standard Model Effective Field Theory (SMEFT) to analyze most relevant experimental data at low high energies, we demonstrate striking complementarity between charm decays invariant mass lepton tails LHC. Interestingly enough, high-$p_T$ Drell-Yan offer competitive constraints on new physics scenarios. Furthermore, full set correlated...

We present a model for third-family quark-lepton unification at the TeV scale featuring composite Higgs sector. The is based on variant of Pati-Salam model, so-called 4321 consisting gauge group SU(4)×SU(3)′×SU(2)L×U(1)X. spontaneous symmetry breaking to SM triggered dynamically by QCD-like confining same strong dynamics also produces as pseudo Nambu-Goldstone boson, connecting energy scales both sectors. predicts massive U1 vector leptoquark coupled dominantly third generation, recently put...

$\tt DsixTools$ is a Mathematica package for the handling of Standard Model Effective Field Theory (SMEFT) and Low-energy (LEFT) with operators up to dimension six, both at algebraic numerical level. contains visually accessible operationally convenient repository all parameters SMEFT LEFT. This also provides information concerning symmetry categories number degrees freedom, routines that allow implement this on global expressions (such as decay amplitudes cross-sections). performs weak...

We present SuperTracer, a Mathematica package aimed at facilitating the functional matching procedure for generic UV models. This automates most tedious parts of one-loop computations. Namely, determination and evaluation all relevant supertraces, including loop integration Dirac algebra manipulations. The current version SuperTracer also contains limited set output simplifications. However, further reduction to minimal basis using Fierz identities, by parts, simplification structures,...

The recent B-meson anomalies are coherently explained at the TeV scale by 4321 gauge models with hierarchical couplings reminiscent of Standard Model Yukawas. We show that such arise as low-energy limit a complete theory flavor, based on warped fifth dimension where each family is quasi-localized in different brane. Higgs identified pseudo-Nambu-Goldstone boson emerging from same dynamics responsible for symmetry breaking. This novel construction unifies quarks and leptons flavor...

A bstract Effective Field Theory calculations used in countless phenomenological analyses employ dimensional regularization, and at intermediate stages of computations, the operator bases extend beyond four-dimensional ones. The extra pieces — evanescent operators can ultimately be removed with a suitable renormalization scheme, resulting finite shift physical operators. Modern matching techniques relying on method expansion by regions have to extended account for this. After illustrating...

We present a detailed analysis of the collider signatures TeV-scale massive vector bosons motivated by hints lepton flavour non-universality observed in $B$-meson decays. analyse three representations that necessarily appear together large class ultraviolet-complete models: colour-singlet ($Z'$), colour-triplet (the $U_1$ leptoquark), and colour octet ($G'$). Under general assumptions for interactions these exotic states with Standard Model fields, including particular possible right-handed...

Models with massive vector leptoquarks, resulting from an $SU(4)$ gauge symmetry spontaneously broken at the TeV scale, are of great phenomenological interest given current ``anomalies'' in semileptonic $B$ decays. We analyze relations between low- and high-energy observables such class models to next-to-leading order accuracy coupling ${g}_{4}$. For large values ${g}_{4}$, motivated by recent $B$-physics data, one-loop corrections sizable. The main effect is enhanced contribution low energy...

We present a systematic method for determining the two-loop effective Lagrangian resulting from integrating out set of heavy particles in an ultraviolet scalar theory. prove that matching coefficients are entirely determined (double-)hard region loop integrals and master formula matching, applicable to both diagrammatic functional approaches. further employ methods determine compact expressions do not rely on any previous knowledge its structure or symmetries. The same also computation...

Extending previous work on this subject, we evaluate the impact of vectorlike fermions at next-to-leading order accuracy in models with a massive vector leptoquark embedded $SU(4)\ifmmode\times\else\texttimes\fi{}SU(3{)}^{\ensuremath{'}}\ifmmode\times\else\texttimes\fi{}SU(2{)}_{L}\ifmmode\times\else\texttimes\fi{}U(1{)}_{X}$ gauge group. Vectorlike induce new sources flavor symmetry breaking, resulting tree-level flavor-changing couplings for not present minimal version model. These, turn,...