Mapping Effective Field Theory to Multifractal Geometry

Euclidean Metric ◽

Classical Chaos ◽

Fractals and multifractals are well-known trademarks of nonlinear dynamics and classical chaos. The goal of this work is to tentatively uncover the unforeseen path from multifractals and selfsimilarity to the framework of effective field theory (EFT). An intriguing finding is that the partition function of multifractal geometry includes the signature of non-Euclidean metric. Our results also suggest that multifractal geometry may offer insights into the non-renormalizable interactions presumed to develop beyond the Standard Model scale.

Mapping Effective Field Theory to Multifractal Geometry

10.20944/preprints202105.0502.v2 ◽

2021 ◽

Author(s):

Ervin Goldfain

Keyword(s):

Field Theory ◽

Nonlinear Dynamics ◽

Partition Function ◽

Standard Model ◽

Effective Field Theory ◽

Gravitational Interaction ◽

Effective Field ◽

Classical Chaos ◽

Fractals and multifractals are well-known trademarks of nonlinear dynamics and classical chaos. The goal of this work is to tentatively uncover the unforeseen path from multifractals and selfsimilarity to the framework of effective field theory (EFT). An intriguing finding is that the partition function of multifractal geometry includes a signature analogous to that of gravitational interaction. Our results also suggest that multifractal geometry may offer insights into the non-renormalizable interactions presumed to develop beyond the Standard Model scale.

Effective Field Theory Beyond the Standard Model

Annual Review of Nuclear and Particle Science ◽

10.1146/annurev-nucl-102313-025623 ◽

2014 ◽

Vol 64 (1) ◽

pp. 83-100 ◽

Cited By ~ 37

Author(s):

Scott Willenbrock ◽

Cen Zhang

Keyword(s):

Field Theory ◽

Standard Model ◽

Effective Field Theory ◽

Effective Field ◽

Beyond the Standard Model effective field theory: The singlet extended Standard Model

Physical Review D ◽

10.1103/physrevd.103.075027 ◽

2021 ◽

Vol 103 (7) ◽

Author(s):

Shekhar Adhikari ◽

Ian M. Lewis ◽

Matthew Sullivan

Keyword(s):

Field Theory ◽

Standard Model ◽

Effective Field Theory ◽

Effective Field ◽

Beyond the Standard Model physics at CLIC

International Journal of Modern Physics A ◽

10.1142/s0217751x20410158 ◽

2020 ◽

Vol 35 (15n16) ◽

pp. 2041015 ◽

Cited By ~ 1

Author(s):

Roberto Franceschini

Keyword(s):

Field Theory ◽

Standard Model ◽

Effective Field Theory ◽

New Physics ◽

Effective Field ◽

Direct Search ◽

The Standard Model ◽

Open Issues

A summary of the recent results from CERN Yellow Report on the CLIC potential for new physics is presented. Greater emphasis is put on the direct search for new physics scenarios motivated by the open issues of the Standard Model as well as on interpretations of Standard Model measurements as probes of new physics in the context of effective field theory extensions of the Standard Model.

Effective Field Theory for Physics Beyond the Standard Model

Physics of Particles and Nuclei ◽

10.1134/s1063779620040176 ◽

2020 ◽

Vol 51 (4) ◽

pp. 619-624

Author(s):

E. E. Boos

Keyword(s):

Field Theory ◽

Standard Model ◽

Effective Field Theory ◽

Effective Field ◽

Springer Theses - Measurement of Higgs Boson Production Cross Sections in the Diphoton Channel ◽

Beyond the Standard Model : The Effective Field Theory Approach

10.1007/978-3-030-59516-6_2 ◽

2020 ◽

pp. 37-50

Author(s):

Ahmed Tarek Abouelfadl Mohamed

Keyword(s):

Field Theory ◽

Standard Model ◽

Effective Field Theory ◽

Effective Field ◽

Theory Approach ◽

Expectation management

The European Physical Journal C ◽

10.1140/epjc/s10052-021-09285-4 ◽

2021 ◽

Vol 81 (6) ◽

Author(s):

Johannes Braathen ◽

Mark D. Goodsell ◽

Sebastian Paßehr ◽

Emanuelle Pinsard

Keyword(s):

Field Theory ◽

Standard Model ◽

Effective Field Theory ◽

Standard Treatment ◽

Effective Field ◽

Quartic Coupling ◽

Expectation Value ◽

The Standard Model ◽

Expectation Management

AbstractWe consider the application of a Fleischer–Jegerlehner-like treatment of tadpoles to the calculation of neutral scalar masses (including the Higgs) in general theories beyond the Standard Model. This is especially useful when the theory contains new scalars associated with a small expectation value, but comes with its own disadvantages. We show that these can be overcome by combining with effective field theory matching. We provide the formalism in this modified approach for matching the quartic coupling of the Higgs via pole masses at one loop, and apply it to both a toy model and to the $$\mu $$ μ NMSSM as prototypes where the standard treatment can break down.

Renormalization Group evolution from on-shell SMEFT

Journal of High Energy Physics ◽

10.1007/jhep01(2021)101 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Minyuan Jiang ◽

Teng Ma ◽

Jing Shu

Keyword(s):

Field Theory ◽

Renormalization Group ◽

Standard Model ◽

Effective Field Theory ◽

Effective Field ◽

High Dimensional ◽

Anomalous Dimensions ◽

The Standard Model ◽

Group Evolution

Abstract We describe the on-shell method to derive the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective Field Theory (SMEFT), and exceptionally efficient based on the amplitude basis in hand. The UV divergence is obtained by firstly calculating the coefficients of scalar bubble integrals by unitary cuts, then subtracting the IR divergence in the massless bubbles, which can be easily read from the collinear factors we obtained for the Standard Model fields. Examples of deriving the anomalous dimensions at dimension six are presented in a pedagogical manner. We also give the results of contributions from the dimension-8 H4D4 operators to the running of V+V−H2 operators, as well as the running of B+B−H2D2n from H4D2n+4 for general n.