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Resummation and Renormalization in Effective Theories of Particle Physics by Antal Jakovac, Andras Patkos

• Resummation and Renormalization in Effective Theories of Particle Physics
• Antal Jakovac, Andras Patkos
• Page: 221
• Format: pdf, ePub, mobi, fb2
• ISBN: 9783319226194
• Publisher: Springer International Publishing

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Ebooks downloadable Resummation and Renormalization in Effective Theories of Particle Physics in English 9783319226194

Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with large-scale numerical simulations of Standard Model physics. These contexts include but are not limited to providing indications for phase transitions and the nature of elementary excitations of strong and electroweak matter. A precondition for obtaining high-precision predictions is the application of some advanced functional techniques to the effective models, where the sensitivity of the results to the accurate choice of the input parameters is under control and the insensitivity to the actual choice of ultraviolet regulators is ensured. The credibility of such attempts ultimately requires a clean renormalization procedure and an error estimation due to a necessary truncation in the resummation procedure. In this concise primer we discuss systematically and in sufficient technical depth the features of a number of approximate methods, as applied to various effective models of chiral symmetry breaking in strong interactions and the BEH-mechanism of symmetry breaking in the electroweak theory. After introducing the basics of the functional integral formulation of quantum field theories and the derivation of different variants of the equations which determine the n-point functions, the text elaborates on the formulation of the optimized perturbation theory and the large-N expansion, as applied to the solution of these underlying equations in vacuum. The optimisation aspects of the 2PI approximation is discussed. Each of them is presented as a specific reorganisation of the weak coupling perturbation theory. The dimensional reduction of high temperature field theories is discussed from the same viewpoint. The renormalization program is described for each approach in detail and particular attention is paid to the appropriate interpretation of the notion of renormalization in the presence of the Landau singularity. Finally, results which emerge from the application of these techniques to the thermodynamics of strong and electroweak interactions are reviewed in detail.

Resummed perturbative series of scalar quantum - ELTE TTK TEO
ticle physics changing the particle number can not be described by the simple ap - and the renormalized effective potential will be constructed. We will  Combining Fixed-Order Helicity Amplitudes With Resummation
Center for Theoretical Physics, Massachusetts Institute of “Loops and Legs in Quantum Field Theory” 11th DESY Workshop on Elementary Particle Physics provided by Soft-Collinear Effective Theory (SCET) [1, 2, 3, 4, 5, 6]. The Wilson coefficients explicitly depend on the UV renormalization scheme  NNLL Resummation for Jet Broadening - Springer
The resummation for the event-shape variable jet broadening is extended to Resummation Renormalization Group QCD of αs from LEP thrust data using effective field theory, JHEP 07 (2008) 034 [arXiv:​0803.​0342] Elementary Particles, Quantum Field Theory · Quantum Physics · Quantum Field  Effective Field Theory Techniques for Resummation in Jet Physics
relevant to jet physics at the LHC using effective field theory techniques. The goal of particle physics is to discover the fundamental particles of nature summation then naturally arises as a consequence of renormalization group evolution. Factorization and NNLL Resummation for Higgs production with a
Using methods of effective field theory, we derive the first all-order factorization Higgs Physics Resummation Renormalization Group QCD. RS-invariant all-orders renormalon resummations for some QCD
High Energy Physics - Phenomenology The RS-invariant resummation is used to assess the reliability of fixed-order (DIS) sum rules, by comparing it with the exact NNLO results in the effective charge RS. For the singularity, the comparison indicates fixed-order perturbation theory to be very reliable. Consistent Use of Effective Potentials arXiv:1408.0287v1 [hep-ph] 1
perturbation theory, including improvement with the renormalization group. one computes an effective action by integrating out a massive particle, usually at nevertheless encodes all the classical and quantum physics of the original theory . holds order-by-order can be used in a resummed effective. 3  Resummation and Renormalisation in Effective Theories of Particle
Effective models of strong and electroweak interactions are extensively applied in particle physics phenomenology, and in many instances can compete with  “ENVIRONMENTALLY FRIENDLY” RENORMALIZATION (World
School of Theoretical Physics, Dublin Institute for Advanced Studies, 10 Burlington Road, Dublin 4, (2007) Renormalization of 2 particle irreducible resummation: A (1997) Stochastic behavior of effective field theories across the threshold. RG improved Higgs boson production to N $^ 3$ LO in QCD
renormalization scale by systematically resumming the renormalization group ( RG) accessible log- arithms to all orders in Model (SM) of particle physics. effective field theory approach, the authors of [10] have shown the 

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