Oliver Thewalt

    Oliver Thewalt

    Theoretical Physics | Quantum Biology | Dark Matter Research | Energy Consulting | Creation of Hydrogen ATOM in the Higgs Field >> Vote for Nobel Prize

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    A simple assumption in effective field theory - Decoupling theorem

    Quote: "The assumption: ... that a new scalar particle of mass M of the order of Λ0 is discovered, and that the naturalness scale of the new theory can then be pushed, by further fine tuning, to even higher scales.

    We are thus led to consider the following simple paradigm; a theory containing two scalar particles with significantly different masses m ≪ M ≪ Λ0, in which we can then determine the dependence of the physics at various scales depends on the ratio of the masses of the particles.

     

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    In particular, we will be able to see exactly how the heavy particle ‘decouples’ from the low energy effective theory containing only the light particle." Unquote 

    Read more:  

     The Decoupling Theorem in Effective Scalar Field Theory

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    Decoupling theorem in top productions/decays revisited -- To what extent can we understand it visually?

     

    Zenro Hioki

    (Submitted on 6 Aug 2015)

    I revisit here the decoupling theorem in top-quark productions/decays, which states that the angular distribution of any final-particle produced in those processes does not depend on any possible nonstandard top-quark decay interactions at their leading order when certain conditions are satisfied. Towards a simple, intuitive and visual understanding of this theorem, I will study to what extent we could explain why such a theorem holds without relying on any specific/detailed calculations.

     

    Read more: 

     

    Decoupling theorem in top productions/decays revisited -- To what extent can we understand it visually?

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    Further Reading:

     

    https://en.wikipedia.org/wiki/Renormalization_group

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    The Decoupling Theorem in Effective Scalar Field Theory

    http://arxiv.org/abs/hep-th/9404156

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    Decoupling Theorems

    http://arxiv.org/pdf/1207.3927v1.pdf

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    Effective approach and decoupling in QFT

    http://benasque.org/2011qft/talks_contr/1511_Shapiro.pdf

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    Nonabelian gauge theories

    http://www.nikhef.nl/~t45/ftip/Ch12.pdf

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    https://en.wikipedia.org/wiki/Beta_function_(physics)

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    Re: What is 'decoupling limit' or 'decoupling theorem'?

    http://www.madsci.org/…/archiv…/2013-07/1373853988.Ph.r.html

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    A Higgs Hunter's Perspective

    http://higgs.ph.ed.ac.uk/…/d…/files/Haber_HiggsSymposium.pdf

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    Asymptotically Free Gauge Theories. I

    David J. Gross and Frank Wilczek

    Phys. Rev. D 8, 3633 – Published 15 November 1973

    http://journals.aps.org/prd/abstract/10.1103/PhysRevD.8.3633

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    Reliable Perturbative Results for Strong Interactions?

    http://journals.aps.org/…/abstr…/10.1103/PhysRevLett.30.1346

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    https://en.wikipedia.org/wiki/Conformal_field_theory

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    https://en.wikipedia.org/wiki/Coupling_constant

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    https://en.wikipedia.org/wiki/Scale_invariance

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    https://en.wikipedia.org/wiki/Wick_rotation

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    https://en.wikipedia.org/wiki/Top_quark

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    https://en.wikipedia.org/wiki/Casimir_element

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    Interpreting Effective Field Theories

     

    http://ls.poly.edu/~jbain/papers/InterpEFTs.pdf