ANEC in λϕ4 theory

Motivated by the goal of applying the average null energy condition (ANEC) to renormalisation group flows, we calculate in λϕ4 theory the expectation value of the ANEC operator in a particular scalar state perturbatively up to third order in the quartic coupling and verify the expected CFT answer. The work provides the technical tools for studying the expectation value of the ANEC operator in more interesting states, for example tensorial states relevant to the Hofman-Maldacena collider bounds, away from critical points.

A first principles study of the spin–orbit coupling effect in LiM (M = Na, K, Rb, Cs) molecules

Both fully relativistic and scalar-state based perturbation models provided the spin–orbit functions of the LiM (M = Na, K, Rb, Cs) molecules at almost experimental level of confidence.

Masses of Charmed and Bottom Tetraquarks in the Non-Relativistic Quark Model

Heavy tetraquark states are studied within the diquark-antidiquark picture in the framework of a simple constituent quark model. Considering hyperfine spin and isospin interactions, we predict the masses of the scalar diquarks and of the open and hidden charmed and bottom scalar tetraquarks. Our results indicate the scalar resonances [Formula: see text] and [Formula: see text] have a sizable tetraquark amount in their wave function, while it turns out the scalar state [Formula: see text] should not be considered as being predominately diquark-antidiquark bound states.

On a possibility of a consistent interpretation of diboson excesses at LHC

Recently reported diboson and diphoton excesses at LHC are interpreted to be connected with heavy WW zero spin resonances. The resonances appears due to the would-be anomalous triple interaction of the weak bosons, which is defined by well-known coupling constant [Formula: see text]. The 2 TeV anomaly, tentatively corresponds to weak isotopic spin-2 scalar state and the [Formula: see text] 750 GeV anomaly corresponds to weak isotopic spin-0 pseudoscalar state. We obtain estimates for the effect, which qualitatively agree with ATLAS data. Effects are predicted in a production of W[Formula: see text] W[Formula: see text], (Z, [Formula: see text])(Z, [Formula: see text]) via resonance [Formula: see text] with [Formula: see text] 750 GeV, which could be reliably checked at the upgraded LHC at [Formula: see text] 13 TeV. In the framework of an approach to the spontaneous generation of the triple anomalous interaction its coupling constant is estimated to be [Formula: see text] in an agreement with existing restrictions. Specific predictions of the hypothesis are significant effects in decay channels [Formula: see text], [Formula: see text].

Quantum Haplodynamics, Dark Matter, and Dark Energy

In quantum haplodynamics (QHD) the weak bosons, quarks, and leptons are bound states of fundamental constituents, denoted as haplons. The confinement scale of the associated gauge groupSU(2)his of the order ofΛh≃0.3 TeV. One scalar state has zero haplon number and is the resonance observed at the LHC. In addition, there exist new bound states of haplons with no counterpart in the SM, having a mass of the order of 0.5 TeV up to a few TeV. In particular, a neutral scalar state with haplon number 4 is stable and can provide the dark matter in the universe. The QHD, QCD, and QED couplings can unify at the Planck scale. If this scale changes slowly with cosmic time, all of the fundamental couplings, the masses of the nucleons and of the DM particles, including the cosmological term (or vacuum energy density), will evolve with time. This could explain the dark energy of the universe.