Bremsstrahlung Calculations of Single Gauge-Boson Production on Linear Colliders in Context of "New Physics" Searching

Differential and total cross sections of single gauge boson production in high energy electron-photon collisions obtained within the Standard Model in leading order and next-to-leading order are presented. Soft photon bremsstrahlung as well as hard photon bremsstrahlung parts were considered using the dimensional regularization procedure. Special features of receiving the hard bremsstrahlung convergent contribution are discussed. The corresponding anomalous gauge boson couplings were studied in the effective Lagrangian approach. Best conditions for registration of effects beyond the Standard Model are determined.

Naturalness implications within the two-real-scalar-singlet beyond the SM

The aim of this study is to investigate the quadratic divergences using dimensional regularization within the context of the Standard Model (SM) extended by two real scalar singlets (TRSM). This extension provides three neutral scalar fields that mix, after developing its VEVs, leading to three CP-even Higgs bosons, namely, $$h_1$$ h 1 , $$h_2$$ h 2 and $$h_3$$ h 3 , which would offer a wide phenomenology at the Large Hadron Collider (LHC), as reported recently. Furthermore, to fulfill the Veltman conditions for those three fields, we concentrate on the one-loop level ($$d_L=2$$ d L = 2 ) of dimensional regularization calculations, assuming $$R_{\xi }$$ R ξ Feynman–’t Hooft gauge-invariant, $$\xi =1$$ ξ = 1 . We show that the divergence cancellation could take place in the framework of the TRSM for the SM-like Higgs boson predicting a stringent constraint on the space parameters as well as the new physics (NP) scale, and yet remain consistent with current experimental measurements at 13 TeV.

On perturbative aspects of a nonminimal Lorentz-violating QED with CPT-odd dimension-5 terms

We consider the Lorentz-violating extended QED involving all nonminimal dimension-5 additive CPT-odd terms. For this theory, we investigate the generation of the Carroll–Field–Jackiw (CFJ) term and its higher-derivative counterparts of the first order in any of these nonminimal couplings. The CFJ term is demonstrated to vanish in the dimensional regularization scheme. We also study the question of higher-derivative divergent contributions and demonstrate that they can be eliminated by considering a given proportionality between the coefficients.

Glue-and-cut at five loops

We compute ε-expansions around 4 dimensions of a complete set of master integrals for momentum space five-loop massless propagator integrals in dimensional regularization, up to and including the first order with contributions of transcendental weight nine. Our method is the glue-and-cut technique from Baikov and Chetyrkin, which proves extremely effective in that it determines all expansion coefficients to this order in terms of recursively one-loop integrals and only one further integral. We observe that our results are compatible with conjectures that predict π-dependent contributions.

ALIENS AND UFO’S

Are aliens transdimensional entities?, By this I have meant to say those beings rather living beings that are existent on different dimensions greater than our 4 that is our normal space-time dimensions. We have enough evidence from the Lorentz generators of the string theory that the maximum space-time dimensions can take the value upto 10, if time is considered as a singular dimension. However, in certain theories like the M-theory where there exists the 11th dimensions as SUGRA or supersymmetric gravity (graviton with gravitino) which on F-theory the dimensional regularization has been taken to 12 by splitting time into 2 dimensions with a higher degrees of freedom. It is very much possible and probable that in a higher dimensions d≫4 time can take the form of 2D where the local nature of 1D time would behave as a singular loop of various multiplicities as a non-local 2D element. In our 4 dimensions also, if we are sustained to believe time being a non-local element with the Einstein’s principle of “spontaneously happening past, present and future then we ought to believe that 1D local time itself acts as a 2D non-local time. Considering the dimensional range of spatial and temporal factor ~ 3+1 it can be said that there are higher ~ 6 additional spatial dimensions which are connected with the lower ~ 3+1 co-dimensions in the form of various inter-dimensional tunnels that specifies the initial and final positions from a lower dimensions to a higher dimensions. Without considering, in this paper, the respective size of the dimensions, if all those space-time dimensions ~ 6+1 are there, then it’s probable that there exists some particular creatures over those various dimensions. However, just as 4D consists of all the 3, 2, 1D’s, similarly the higher order dimensions like 10D would also contains 9, 8, 7, 6, 5…. 1D’s, therefore it can be said that 10D is very unstable and chaotic because of the intersections of various lower co-dimensions that exists in reality. There must be an inter-dimensional membrane that protects one dimensions from the other and those inter-dimensional tunnels, that exists in between (connecting) those dimensions must have an unstable mouth wandering unpredictably from one hyper-surface to another where if anyone gets caught in any of those tunnels mouth’ devoid of any singularities and horizons, then they ought to travel to the other dimensions that will always be >4 as permitted by the laws of physics standing on the 4D universe. Now, analyzing the vehicles that they used to transport from one point in spacetime to other, A detailed analysis on the engineering and phenomenology with respect to mechanisms of the unidentified aerial objects has been carried out extensively on the paper depicting why they are more advanced and on what mechanisms are they capable of the interstellar & intergalactic travel by virtue of electrohydrodynamics and semi-quantum kinetics. KEYWORDS – Hyper-surfaces; Hyper-membranes; Inter-dimensional tunnel, Cauchy horizon, Singularity, Cross-sections, Monodromy, Time slices, Co-dimensions; String theory; Average null energy conditions; f(R,T) gravity.

N3LO gravitational spin-orbit coupling at order G4

In this paper we derive for the first time the N3LO gravitational spin-orbit coupling at order G4 in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the first computation in a spinning sector involving three-loop integration. We provide a comprehensive account of the topologies in the worldline picture for the computation at order G4. Our computation makes use of the publicly-available EFTofPNG code, which is extended using loop-integration techniques from particle amplitudes. We provide the results for each of the Feynman diagrams in this sector. The three-loop graphs in the worldline picture give rise to new features in the spinning sector, including divergent terms and logarithms from dimensional regularization, as well as transcendental numbers, all of which survive in the final result of the topologies at this order. This result enters at the 4.5PN order for maximally-rotating compact objects, and together with previous work in this line, paves the way for the completion of this PN accuracy.

Modern Technique for Real Photon Radiative Correction Calculations

The problem of the bremsstrahlung contribution calculation as a part of the radiative corrections in the case of single gauge boson production was discussed. It was shown that the hard photon bremsstrahlung contribution can be divided into the finite and divergent terms. The exact calculation of soft photon bremsstrahlung and infrared part of hard photon bremsstrahlung was presented in frame of the dimensional regularization scheme. Numerical analysis of radiative corrections to the cross sections of single gauge boson production was performed.

Classical Partition Function for Non-Relativistic Gravity

We considered the canonical gravitational partition function Z associated to the classical Boltzmann–Gibbs (BG) distribution e−βHZ. It is popularly thought that it cannot be built up because the integral involved in constructing Z diverges at the origin. Contrariwise, it was shown in (Physica A 497 (2018) 310), by appeal to sophisticated mathematics developed in the second half of the last century, that this is not so. Z can indeed be computed by recourse to (A) the analytical extension treatments of Gradshteyn and Rizhik and Guelfand and Shilov, that permit tackling some divergent integrals and (B) the dimensional regularization approach. Only one special instance was discussed in the above reference. In this work, we obtain the classical partition function for Newton’s gravity in the four cases that immediately come to mind.

Renormalization of the topological charge density in QCD with dimensional regularization

To all orders of perturbation theory, the renormalization of the topological charge density in dimensionally regularized QCD is shown to require no more than an additive renormalization proportional to the divergence of the flavour-singlet axial current. The proof is based on the standard BRS analysis of the QCD vertex functional in the background gauge and exploits the special algebraic properties of the charge density through the Stora–Zumino chain of descent equations.