“…We calculated the first two moments of the light-cone distribution amplitudes for the pseudoscalar mesons ($\pi$ and $K$) and the longitudinally polarised vector mesons ($\rho$, $K^*$ and $\phi$) as part of the UKQCD and RBC collaborations' $N_f=2+1$ domain-wall fermion phenomenology programme. These quantities were obtained with a good precision and, in particular, the expected effects of $SU(3)$-flavour symmetry breaking were observed. …”
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“…In fact, if the breaking of the Goldstone symmetry is driven by the fermion sector, this $\mathbb {Z}_2$ symmetry is automatically unbroken in the electroweak phase. …”
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“…We propose a simple U(2) model of flavor compatible with an SU(5) GUT structure. All hierarchies in fermion masses and mixings arise from powers of two small parameters that control the U(2) breaking. …”
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“…Our model-independent analysis is based on the set of low-energy effective four-fermion LFV operators composed of leptons and quarks with the corresponding mass scales Λk for each operator. …”
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“…The computation is performed on 2+1 flavor M\"obius Domain Wall Fermion ensembles with physical pion mass. Reconstruction of the long-distance correlation function will enable lattice-only calculations of the HVP to achieve precision similar to estimates of the HVP from the R-ratio method on the timescale of the new experimental measurements of the muon anomalous magnetic moment.…”
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“…Another class of interesting models suggest compositeness, a fermion substructure, leading to a potential observation of excited leptons or composite neutrinos. …”
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“…At LEP2 many Standard Model predictions are tested up to centre-of-mass energies of 209 GeV. Fermion pair production cross sections and asymmetries agree well with the theoretical expectation over the entire energy range. …”
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“…In the dual NJL description, the fermions are localized at the origin of a large two-dimensional compact space. …”
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“…We find that a new charged vector (fermion) with $Q_{\rm eff}=4$ can be discovered up to $m=700~\rm GeV$ ($m=370~\rm GeV$) with an integrated luminosity of $300~\rm fb^{-1}$ at the LHC. …”
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“…The results have been obtained by studying the relevant correlation functions at \beta=6.0, on an 18^3 \times 64 lattice, using the {\rm O(a)}-improved fermion action, in the quenched approximation. From the study of the matrix element \langle K^*\vert \bar s \sigma_{\mu\nu} b \vert B\rangle we have obtained the form factor T_1(0) which controls the exclusive decay rate. …”
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“…We compute the gravitational corrections to the fermion masses $m_{1/2}$ (gauginos or goldstino) induced from the exchange of closed strings, which are non-vanishing for world-sheets with Euler characteristic -1 (``genus 3/2'') due to a string diagram with one handle and one hole. …”
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“…The $B_K$ parameter is computed in quenched lattice QCD with Wilson twisted mass fermions. Two variants of tmQCD are used; in both of them the relevant $\Delta S = 2$ four-fermion operator is renormalised multiplicatively. …”
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“…We show how measurements of the decay rates and distributions in these processes would allow us to extract the magnitude and sign of the dominant Wilson coefficients of the magnetic moment operator \mb \bar{s}_L \sigma_{\mu \nu} b_R F^{\mu \nu } and the four-fermion operators (\bar{s}_L \gamma_\mu b_L)(\bar{\ell} \gamma^{\mu} \ell) and (\bar{s}_L \gamma_\mu b_L)(\bar{\ell} \gamma^{\mu}\gamma^5 \ell). …”
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“…The text also describes the many-fermion problem; the theory of the interacting boson gas; the theory of the antiferromagnetic linear chains; and the time-dependent phenomena of many-body systems (i.e., classical or quantum-mechanical dynamics). …”
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“…We consider the possibility that the Yukawa couplings depend on the Higgs field, with the motivation of generating the fermion mass hierarchy through appropriate powers of the Higgs vacuum expectation value. …”
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“…The Type II Seesaw models and the Zee-Babu two-loop mass generation model require new heavy scalars and the Type III Seesaw models predict a heavy fermion triplet. We search for those new particles in same-sign dilepton and three lepton final states. …”
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“…All the interactions are expressed in terms of fermion and boson fields which can describe the quantum states of electrons, nucleons and photons in atoms or nuclei. …”
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“…The Luttinger Model is the only model of many-fermion physics with legitimate claims to be both exactly and completely solvable. …”
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“…Its mass is more than an order of magnitude greater than any other SM fermion, and hence a precise measurement of this mass provides constraints on the Higgs boson and many other hypothetical particles. …”
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“…Testing the Yukawa couplings of the Higgs boson to quarks and leptons is important to understand the origin of fermion masses. The talk presents cross section measurements in Higgs boson decays to two bottom quarks or two tau leptons, searches for Higgs boson decays to two charm quarks or two muons, as well as indirect constraints of the charm-Yukawa coupling. …”
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