Solution to the Higgs naturalness problem
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tion to the Higgs naturalness prob Zheng-Tao Wei Nankai University, Tianjin The Ninth Particle Physics Phenomenology Workshop, 2011.6.3—2011.6.6, at NCU, Chungli, Taiwan.
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Solution to the Higgs naturalness problem. Zheng-Tao Wei Nankai University, Tianjin. The Ninth Particle Physics Phenomenology Workshop, 2011.6.3—2011.6.6, at NCU, Chungli, Taiwan. Beijing ↔ Tianjin, ½ hour by train. The highest building in the north China. Tianjin Binhai New Area: - PowerPoint PPT Presentation
Transcript of Solution to the Higgs naturalness problem
Solution to the Higgs naturalness problem
Zheng-Tao Wei
Nankai University, Tianjin
The Ninth Particle Physics Phenomenology Workshop, 2011.6.3—2011.6.6, at NCU, Chungli, Taiwan.
The highest building in the north China.
Tianjin Binhai New Area: the most admired industrial park; the most attractive investment area in China and even Asia as a whole.
Beijing ↔ Tianjin,½ hour by train.
Primier En-Lian Zhou (周恩来 ), Xing-Shen Chen (陈省身 )； Tao Han (韩涛 ), T.D. Lee, C.N. Yang, Ta-You Wu, ….
Nankai University
我是愛南開的
I love Nankai
看
门
I am gardener of south gate
Introduction: Higgs naturalness problem
Our solution
Summary
Z. Wei, L. Bian, arXiv:1104.2735.
Introduction The SM is very successful. Higgs mechanism provides mass for everything.
The crucial purpose of LHC is to search and study Higgs.
Higgs naturalness problem
Fine-tuning: bare and counter-term fine-tuning at (102/1019)2~10-34; orHierarchy: MP>>mH.
Higgs is unnatural.
History
The Origins of lattice gauge theory,Kenneth G. Wilson, 2004
Dimensional regularization is not physical.
He did the first explicit calculations.
= c Λ2
To do is better than to say!
Some scenarios of solution:
Veltman’s condition:
New symmetry: SUSY, scale invariance, … New particle, dimension: composite Higgs, little Higgs, extra dimension, .…
A modern review on naturalness: arXiv: 0801.2562.
Naturalness problems in physics: 1. Higgs mass, 2. fermion mass, 3. cosmological constant, …
Our solution to Higgs naturalness
Is it really a problem?
SM is renormalizable, mH independent of Λ. What can the equation tell us? -----Chuan-Hung Chen’s question
One-loop result may be misleading. Some examples: Asymptotic freedom, g->0, large Log Sudakov form factor, F(Q2)->exp{-c’ln2(Q2/m2)} large double-Log
Our idea
To study RG evolution of mH with energy due to quadratic divergence.
What’s the asymptotic behavior of mH in the short-distance?
Regularization and renormalization scheme
Fujikawa’s idea:
A new concept
The bare quantities are the renormalized parameters at the UV limit.
mH0=mH(μ→∞)
counter-term renormalized quantities
RGE for Higgs mass
The bare mass is μ-independent,
The evolution is with respect to scale μ, not lnμ.
The new mass anomalous dimension is proportional to -mH
2.
Solution of the RGE
The Higgs mass is an exponential damping function when energy scale increases.
The Higgs mass in the UV limit approaches “Veltaman mass” mV.
The bare mass is not divergent, but finite.
Where mV is called by “Veltman mass”.
Peculiarity of the SM:
1. The couplings are proportional to masses.
2. The evolutions of coupling constants and masses are correlated with each other.
The Higgs mass about 100 GeV order is stable.
The Higgs naturalness problem is solved by radiative corrections themselves within SM.
New symmetry and new particles are unnecessary.
Summary
人体是一个
自我调节系统。
Human body is a
self-tuning system.
SM
Thank you for your attentions.
But I am hungry.
