scholarly journals Leading order hadronic contributions to a_mu and alpha_QED from N_f=2+1+1 twisted mass fermions

Author(s):  
Grit Hotzel ◽  
Xu Feng ◽  
Karl Jansen ◽  
Marcus Petschlies ◽  
Dru Renner
Keyword(s):  
2014 ◽  
Author(s):  
Grit Hotzel ◽  
Florian Burger ◽  
Xu Feng ◽  
Karl Jansen ◽  
Marcus Petschlies ◽  
...  

2018 ◽  
Vol 175 ◽  
pp. 06006
Author(s):  
Davide Giusti ◽  
Vittorio Lubicz ◽  
Guido Martinelli ◽  
Francesco Sanfilippo ◽  
Silvano Simula

We present a lattice calculation of the Hadronic Vacuum Polarization (HVP) contribution of the strange and charm quarks to the anomalous magnetic moment of the muon including leading-order electromagnetic (e.m.) corrections. We employ the gauge configurations generated by the European Twisted Mass Collaboration (ETMC) with Nf = 2+1 + 1 dynamical quarks at three values of the lattice spacing (a ≃ 0.062,0.082,0.089 fm) with pion masses in the range Mπ ≃ 210 - 450 MeV. The strange and charm quark masses are tuned at their physical values. Neglecting discon-nected diagrams and after the extrapolations to the physical pion mass and to the continuum limit we obtain: [see formula in PDF] and [see formula in PDF] for the strange and charm contributions, respectively.!


Author(s):  
David J. Steigmann

This chapter develops two-dimensional membrane theory as a leading order small-thickness approximation to the three-dimensional theory for thin sheets. Applications to axisymmetric equilibria are developed in detail, and applied to describe the phenomenon of bulge propagation in cylinders.


Author(s):  
Fábio Köpp Nóbrega ◽  
Luiz Fernando Mackedanz

Resumo Neste artigo, vamos estudar alguns conceitos fundamentais em física de partículas através do estudo detalhado de um processo específico da Eletrodinâmica Quântica (QED): o espalhamento Bhabha em ordem dominante (Leading Order - LO). Este ocorre na interação entre um elétron e sua antipartícula, o pósitron, sendo um dos processos básicos da QED. Nossa escolha em trabalhar este processo deve-se a riqueza de detalhes proporcionada pelas duas possibilidades (canais) de interação, que servem para ilustrar o cálculo da interferência entre as possibilidades. Além disso, esse processo é utilizado para determinar a luminosidade de um determinado colisor, o que garante maior precisão nas medidas de outras grandezas relevantes para a análise das interações entre partículas. Finalmente, comparamos a predição da QED com os resultados do experimento DESY-PETRA-TASSO.


2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Paul Frederik Depta ◽  
Andreas Halsch ◽  
Janine Hütig ◽  
Sebastian Mendizabal ◽  
Owe Philipsen

Abstract Thermal leptogenesis, in the framework of the standard model with three additional heavy Majorana neutrinos, provides an attractive scenario to explain the observed baryon asymmetry in the universe. It is based on the out-of-equilibrium decay of Majorana neutrinos in a thermal bath of standard model particles, which in a fully quantum field theoretical formalism is obtained by solving Kadanoff-Baym equations. So far, the leading two-loop contributions from leptons and Higgs particles are included, but not yet gauge corrections. These enter at three-loop level but, in certain kinematical regimes, require a resummation to infinite loop order for a result to leading order in the gauge coupling. In this work, we apply such a resummation to the calculation of the lepton number density. The full result for the simplest “vanilla leptogenesis” scenario is by $$ \mathcal{O} $$ O (1) increased compared to that of quantum Boltzmann equations, and for the first time permits an estimate of all theoretical uncertainties. This step completes the quantum theory of leptogenesis and forms the basis for quantitative evaluations, as well as extensions to other scenarios.


2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Fabian Müller ◽  
Akaki Rusetsky

Abstract Using non-relativistic effective field theory, we derive a three-particle analog of the Lellouch-Lüscher formula at the leading order. This formula relates the three-particle decay amplitudes in a finite volume with their infinite-volume counterparts and, hence, can be used to study the three-particle decays on the lattice. The generalization of the approach to higher orders is briefly discussed.


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