Abstract Precision measurement of the integrated luminosity $\mathcal {L}$ at future Higgs factories, including the International Linear Collider (ILC), is of crucial importance for the cross-section measurements, and in particular for the line-shape measurements at the Z-pole. Since there is no up-to-date estimate of the integrated luminosity uncertainties arising from metrology effects at ILC, here we review the metrology requirements for the targeted precision of $\mathcal {L}$ at foreseen ILC center-of-mass energies: 91.2 GeV, 250 GeV, 500 GeV and 1 TeV, using small-angle Bhabha scattering.

We examine effects of $Z'$ bosons in gauge-Higgs unification (GHU) models at $\mathrm{e}^{+}\mathrm{e}^{-}\to \mathrm{e}^{+}\mathrm{e}^{-}$ Bhabha scatterings. We evaluate differential cross sections in Bhabha scatterings including $Z'$ bosons in two types of $\mathrm{SO}(5) \times \mathrm{U}(1) \times \mathrm{SU}(3)$ GHU models. We find that deviations of differential cross sections in the GHU models from those in the SM can be seen at $\sqrt{s} = 250\,\mathrm{GeV}$. With $80\%$-longitudinally polarized electron and $30\%$-longitudinally polarized positron beams, the left-right asymmetries in the GHU A- and B-models are resolved at more than $3\,\sigma$ at $L_{\rm int} =250\,\mathrm{fb}^{-1}$. We also show that Bhabha scattering with scattering angle less than 100 mrad can be safely used as luminosity measurements in $\mathrm{e}^{+}\mathrm{e}^{-}$ colliders since the effects of $Z'$ bosons are well suppressed for small scattering angle. We propose a new observable which can be measured at future TeV-scale $\mathrm{e}^{+} \mathrm{e}^{-}$ linear colliders.

The Standard Model radiative corrections to the Bhabha scattering process are considered within the one-loop approximation. Both virtual corrections and corrections for the real photon emission are taken into consideration. The calculation was performed at the energy assumed at the Belle II (Japan) facility.

In this article, we have considered the possible signatures of radion through Bhabha scattering. The numerical results show that the total cross section with radion effects are about 1.43-19.70 pb.
 This could have important implications for radion searches and for the measurement of the cross-section of the Bhabha scattering.

Electroweak Corrections with Allowance for Hard Bremsstrahlung in Polarized Bhabha Scattering

Asymptotic expressions for one-loop electroweak radiative corrections to observables of polarized Bhabha scattering are obtained within the on-shell renormalization scheme. The results of a numerical analysis of relative one-loop electroweak corrections to the cross section and polarization asymmetry are reproduced at energies below and above the $$Z$$ resonance. A successful comparison with exact results obtained by means of computer-algebra systems is performed.

We investigate Bhabha scattering with the Seiberg-Witten expended noncommutative standard model scenario to first order of the noncommutativity parameter $\Theta_{\mu \nu }$. This study is based on the definition of the noncommutativity parameter that we have assumed. We explore the noncommutative scale $\Lambda_{_{NC}}\geq0.8$ TeV considering different machine energy ranging from $0.5$ TeV to $1.5$ TeV.

The change in other two fermion processes is called Bhabha process. In this paper, we discuss the Bhabha process in the Randall –Sundrum (RS). We caculated the cross section for photon , boson Z, radion and Higgs h exchange and evaluated exchange contributions of the Bhabha process in detail. 
 Keywords: DCS, cross-section, Bhabha, radion, Randall-Sundrum.
 References
 [1] L. Randall and R. Sundrum, Phys. Rev. Lett. 83, 3370, 1999.[2] H. Davoudiasl, T. McElmurry and A. Soni, Phys. Rev. D82, 115028, 2010.[3] V. P. Goncalves and W. K. Sauter, Phys. Rev. D82, 056009, 2010. [4] W. -J. Zhang, W. -G. Ma, R. -Y. Zhang, X. -Z. Li, L. Guo, and C. Chen, Phys. Rev. D92, 116005, 2015, [arXiv:1512.01766].[5] C. Cai, Z.-H. Yu and H.-H. Zhang, Phys. Rev. D93. 075033, 2016.[6] F. Abu-Ajamieh, R. Houtz, and R. Zheng, [arXiv: 1607.01464v1 [hep-ph]], 2016.[7] The CMS Collaboration, CERN, August 2016.[8] The CMS Collaboration, CERN, September 2016.[9] F. Richard, [ arXiv:1804.02846 [hep-ex]], 2018.

Lorentz symmetry is a fundamental symmetry in the Standard Model (SM) and in General Relativity (GR). This symmetry holds true for all models at low energies. However, at energies near the Planck scale, it is conjectured that there may be a very small violation of Lorentz symmetry. The Standard Model Extension (SME) is a quantum field theory that includes a systematic description of Lorentz symmetry violations in all sectors of particle physics and gravity. In this paper, SME is considered to study the physical process of Bhabha Scattering in the Gravitoelectromagnetism (GEM) theory. GEM is an important formalism that is valid in a suitable approximation of general relativity. A new nonminimal coupling term that violates Lorentz symmetry is used in this paper. Differential cross-section for gravitational Bhabha scattering is calculated. The Lorentz violation contributions to this GEM scattering cross-section are small and are similar in magnitude to the case of the electromagnetic field.

This paper attempts to highlight quantitatively the growth and development of world literature on Bhabha Scattering in terms of publication output as per International Nuclear Information System (INIS) (1970-2008), Science Citation Index (1982-2008), and INSPEC (1969-2008) databases. During 1969-2008 a total of 1305 papers were published by the scientists in the field Bhabha Scattering. The average number of papers published per year was 32.62. The highest numbers of papers 66, were published in 1988 and 1997, respectively. There were 47 countries involved in the research in this field. Germany is the top producing country with 421 papers followed by USA with 420 papers, Italy with 293 papers, and Switzerland with 263 papers. Authorship and collaboration trends were towards multi-authored papers. There were 888 (68.05 per cent) collaborative papers. Istituto Nazionale di Fisica Nucleare (INFN), Italy, topped the list with 256 papers followed by European Organisation for Nuclear Research (CERN), Switzerland, with 243 papers. The most preferred journals by the scientists were: Physics Letters-B with 188 papers, Nuclear Physics-B with 91 papers, and Physical Review-D with 90 papers. The high frequency keywords were: Bhabha scattering (731), radiative corrections (215), annihilation (214), electrons (208), positrons (205), and pair production (202). http://dx.doi.org/10.14429/djlit.29.255

Two-Loop QED Heavy-Flavor Contribution to Bhabha Scattering

Virtual Hadronic Corrections to Massive Bhabha Scattering

Bhabha Scattering at NNLO

Publisher’s Note: Heavy-Flavor Contribution to Bhabha Scattering [Phys. Rev. Lett.<b>100</b>, 131601 (2008)

Using dispersion relations, we derive the complete virtual QED contributions to Bhabha scattering due to vacuum polarization effects. We apply our result to hadronic corrections and to heavy lepton and top quark loop insertions. We give the first complete estimate of their net numerical effects for both small and large angle scattering at typical beam energies of meson factories, the CERN Large Electron-Positron Collider, and the International Linear Collider. With a typical amount of 1-3 per mil they are of relevance for precision experiments.

We evaluate the last missing piece of the two-loop QED corrections to the high-energy electron-positron scattering cross section originating from the vacuum polarization by heavy fermions. The calculation is performed within a new approach applicable to a wide class of perturbative problems with mass hierarchy. The result is crucial for the high-precision physics program at existing and future e(+) e(-) colliders.

Measuring the Running of Alpha in Small Angle Bhabha Scattering

Two-loop QED Corrections to Bhabha Scattering

The present theoretical error on the Bhabha scattering cross section in the luminometry region at LEP

Bhabha scattering with polarized electrons at the Z0 resonance has been measured with the SLD experiment at the SLAC Linear Collider. The first measurement of the left-right asymmetry in Bhabha scattering is presented, yielding the effective weak mixing angle of sin2θWeff = 0.2245±0.0049±0.0010. The effective electron couplings to the Z0 are extracted from a combined analysis of polarized Bhabha scattering and the left-right asymmetry previously published: υe = -0.0414±0.0020 and ae = -0.4977±0.0045.