Dirac masses and mixings in the (geo)SM(EFT) and beyond

We report a set of exact formulae for computing Dirac masses, mixings, and CP-violation parameter(s) from 3×3 Yukawa matrices Y valid when YY† → U†YY†U under global $$ \mathrm{U}{(3)}_{Q_L} $$ U 3 Q L flavour symmetry transformations U. The results apply to the Standard Model Effective Field Theory (SMEFT) and its ‘geometric’ realization (geoSMEFT). We thereby complete, in the Dirac flavour sector, the catalogue of geoSMEFT parameters derived at all orders in the $$ \sqrt{2\left\langle {H}^{\dagger }H\right\rangle } $$ 2 H † H /Λ expansion. The formalism is basis-independent, and can be applied to models with decoupled ultraviolet flavour dynamics, as well as to models whose infrared dynamics are not minimally flavour violating. We highlight these points with explicit examples and, as a further demonstration of the formalism’s utility, we derive expressions for the renormalization group flow of quark masses, mixings, and CP-violation at all mass dimension and perturbative loop orders in the (geo)SM(EFT) and beyond.

Operator bases in effective field theories with sterile neutrinos: d ≤ 9

We obtain the complete and independent bases of effective operators at mass dimension 5, 6, 7, 8, 9 in both standard model effective field theory with light sterile right-handed neutrinos (νSMEFT) and low energy effective field theory with light sterile neutrinos (νLEFT). These theories provide systematical parametrizations on all possible Lorentz-invariant physical effects involving in the Majorana/Dirac neutrinos, with/without the lepton number violations. In the νSMEFT, we find that there are 2 (18), 29 (1614), 80 (4206), 323 (20400), 1358 (243944) independent operators with sterile neutrinos included at the dimension 5, 6, 7, 8, 9 for one (three) generation of fermions, while 24, 5223, 3966, 25425, 789426 independent operators in the νLEFT for two generations of up-type quarks and three generations of all other fermions.

Standard Model EFTs via on-shell methods

We present the Standard Model Effective Field Theories (SMEFT) from purely on-shell arguments. Starting from few basics assumptions such as Poincaré invariance and locality, we classify all the renormalisable and non-renormalisable interactions at lowest order in the couplings. From these building blocks, we review how locality and unitarity enforce Lie algebra structures to appear in the S-matrix elements together with relations among couplings (and hypercharges). Furthermore, we give a fully on-shell algorithm to compute any higher-point tree-level amplitude (or form factor) in generic EFTs, bypassing BCFW-like recursion relations which are known to be problematic when non-renormalisable interactions are involved. Finally, using known amplitudes techniques we compute the mixing matrix of SMEFT marginal interactions up to mass dimension 8, to linear order in the effective interactions.

Renormalization and non-renormalization of scalar EFTs at higher orders

We renormalize massless scalar effective field theories (EFTs) to higher loop orders and higher orders in the EFT expansion. To facilitate EFT calculations with the R* renormalization method, we construct suitable operator bases using Hilbert series and related ideas in commutative algebra and conformal representation theory, including their novel application to off-shell correlation functions. We obtain new results ranging from full one loop at mass dimension twelve to five loops at mass dimension six. We explore the structure of the anomalous dimension matrix with an emphasis on its zeros, and investigate the effects of conformal and orthonormal operators. For the real scalar, the zeros can be explained by a ‘non-renormalization’ rule recently derived by Bern et al. For the complex scalar we find two new selection rules for mixing n- and (n− 2)-field operators, with n the maximal number of fields at a fixed mass dimension. The first appears only when the (n− 2)-field operator is conformal primary, and is valid at one loop. The second appears in more generic bases, and is valid at three loops. Finally, we comment on how the Hilbert series we construct may be used to provide a systematic enumeration of a class of evanescent operators that appear at a particular mass dimension in the scalar EFT.

Causality, unitarity and symmetry in effective field theory

Sum rules in effective field theories, predicated upon causality, place restrictions on scattering amplitudes mediated by effective contact interactions. Through unitarity of the S-matrix, these imply that the size of higher dimensional corrections to transition amplitudes between different states is bounded by the strength of their contributions to elastic forward scattering processes. This places fundamental limits on the extent to which hypothetical symmetries can be broken by effective interactions. All analysis is for dimension 8 operators in the forward limit. Included is a thorough derivation of all positivity bounds for a chiral fermion in SU(2) and SU(3) global symmetry representations resembling those of the Standard Model, general bounds on flavour violation, new bounds for interactions between particles of different spin, inclusion of loops of dimension 6 operators and illustration of the resulting strengthening of positivity bounds over tree-level expectations, a catalogue of supersymmetric effective interactions up to mass dimension 8 and 4 legs and the demonstration that supersymmetry unifies the positivity theorems as well as the new bounds.

A genuine fermionic quintuplet seesaw model: phenomenological introduction

We study a model which generates Majorana neutrino masses at tree-level via low-energy effective operator with mass-dimension-9. Introduction of such a higher dimensional operator brings down the lepton number violating mass scale to TeV making such model potentially testable at present or near future colliders. This model possesses several new SU(2)L fermionic multiplets, in particular, three generations of triplets, quadruplets and quintuplets, and thus a rich phenomenology at the LHC. Noting that lepton flavour violation arises very naturally in such setup, we put constraints on the Yukawa couplings and heavy fermion masses using the current experimental bounds on lepton flavour violating processes. We also obtain 95% CL lower bounds on the masses of the triplets, quadruplets and quintuplets using a recent CMS search for multilepton final states with 137 inverse femtobarn integrated luminosity data at 13 TeV center of mass energy. The possibility that the heavy fermions could be long-lived leaving disappearing charge track signatures or displaced vertex at the future colliders like LHeC, FCC-he, MATHUSLA, etc. is also discussed.

The Adult Neck Mass: Predictors of Malignancy

Objective Distinguishing benign from malignant adult neck masses can be challenging because data to guide risk assessment are lacking. We examined patients with neck masses from an integrated health system to identify patient and mass factors associated with malignancy. Study Design Retrospective cohort. Setting Kaiser Permanente Northern California. Methods The medical records of adults referred to otolaryngology in 2017 for a neck mass were evaluated. Bivariate and multivariable logistic regression analyses were performed. Results Malignancy was found in 205 (5.0%) of the cohort’s 4103 patients. Patient factors associated with malignancy included sex, age, and race/ethnicity. Males had more than twice the odds of malignancy compared with females (adjusted odds ratio [aOR] = 2.38). Malignancy rates increased with age, ranging from 2.1% for patients younger than 40 years to 8.4% for patients 70 years or older. White non-Hispanic patients had 1.75 times the risk of malignancy compared with patients of other race/ethnicities. The percentage of patients with malignancy increased with increasing minimum mass dimension, from 3.0% in patients with mass size <1 cm to over 31% in patients with mass sizes 2 cm or larger ( P < .0001). Imaging-based mass factors most highly predictive of malignancy included larger minimum mass dimension (≥1.5 cm vs <1.5 cm: aOR = 3.87), multiple masses (2 or more vs 1: aOR = 5.07), and heterogeneous/ill-defined quality (aOR = 2.57). Conclusion Most neck masses referred to otolaryngology were not malignant. Increasing age, male sex, white non-Hispanic ethnicity, increasing minimum mass dimension, multiple neck masses, or heterogeneous architecture/ill-defined borders were associated with malignancy.

Effective operator bases for beyond Standard Model scenarios: an EFT compendium for discoveries

It is not only conceivable but likely that the spectrum of physics beyond the Standard Model (SM) is non-degenerate. The lightest non-SM particle may reside close enough to the electroweak scale that it can be kinematically probed at high-energy experiments and on account of this, it must be included as an infrared (IR) degree of freedom (DOF) along with the SM ones. The rest of the non-SM particles are heavy enough to be directly experimentally inaccessible and can be integrated out. Now, to capture the effects of the complete theory, one must take into account the higher dimensional operators constituted of the SM DOFs and the minimal extension. This construction, BSMEFT, is in the same spirit as SMEFT but now with extra IR DOFs. Constructing a BSMEFT is in general the first step after establishing experimental evidence for a new particle. We have investigated three different scenarios where the SM is extended by additional (i) uncolored, (ii) colored particles, and (iii) abelian gauge symmetries. For each such scenario, we have included the most-anticipated and phenomenologically motivated models to demonstrate the concept of BSMEFT. In this paper, we have provided the full EFT Lagrangian for each such model up to mass dimension 6. We have also identified the CP, baryon (B), and lepton (L) number violating effective operators.

Accuracy of B-mode ultrasonography for detecting malignancy in canine cutaneous neoplasms: preliminary results

ABSTRACT: The aim of this study was to verify the applicability and accuracy of B-mode ultrasonography in detecting malignancy in dog cutaneous neoplasms. Forty-two neoplasms (12 benign and 30 malignant) of mesenchymal, round cells, epithelial and melanocytic origins from 24 dogs of different breeds and ages were included. The ultrasound evaluation was performed with a linear multi-frequency transducer (7.0 to 12MHz), with frequency dependent on the mass dimension. Ultrasonographic characteristics of echogenicity (hypo/hyperechogenic), echotexture (homogeneous/heterogeneous), regularity, invasiveness in adjacent tissues were classified. Dimensions were also measured to calculate the depth/width ratio. Neoplasms were classified as malignant or benign after cytological and/or histopathological analysis and the results were associated with ultrasound characteristics. There was a significant association (P<0.05) between malignancy and echogenicity, echotexture and invasiveness in adjacent tissues, so that 84.6% of hypoechogenic neoplasms, 76.9% of heterogeneous masses and 88.2% of invasive neoplasms were classified as malignant. However, for all these associations, moderate predictive values were obtained, which may be due to the small experimental number included in this study. Therefore, although it has been observed that hypoechogenic, heterogeneous and invasive neoplasms were more prone to malignancy, these findings should be used with caution until new studies are developed with a greater number and variety of cutaneous neoplasms in dogs.

Slotted ridged waveguide antennas with partial dielectric filling

Slotted single-ridge waveguide antenna with dielectric filling has been simulated. Dielectric material has been used to fill the slots, and to form a thin layer directly under the slotted broad wall. The specific pairs of ridge dimensions have been found that provide the same cut-off frequency for an air-filled ridged waveguide as it is for a broader air-filled rectangular waveguide. It has been shown that waveguide ridging followed by insertion of a thin dielectric layer under the slotted wall shift consecutively the antenna operating band down to lower frequencies. The specific values of thickness and permittivity of the dielectric layer suitable for frequency shifting have been found. The simulated characteristics of a 20-element dielectrically filled slotted single-ridge waveguide antenna have been presented. Resultantly, the efficient method of shifting the operating interval of a slotted-waveguide antenna down to lower frequencies has been proposed. The method does not require a broader waveguide, and therefore is effective with respect to low frequency – mass/dimension trade-off.