Friday, January 22, 2016

Susy II

In some ways, the MSSM seems promising as a framework for tHWZ numerology. The reason may be seen at the end of section 3.4 in Stephen Martin's primer: susy determines the couplings of the scalar potential, in terms of coupling constants elsewhere in the theory. If I am interpreting that passage correctly, the quadratic coupling will be set by the top yukawa, and the quartic by the gauge couplings.

However, the MSSM has a lot of annoying particles like gauginos and sfermions which get in the way. Here last decade's ideas about split susy are useful. In particular, in section 2.3.3 of "Predictive Landscapes..." we read about a framework midway between split and supersplit susy, in which only the Higgsino is light. That sounds worth exploring.

Monday, January 18, 2016

H, Z, susy

I finally noticed that the Higgs mass parameter μ, 89 GeV, is very close to the Z boson rest mass, 91 GeV (and the width of the Z is a few GeV).

In the standard model, these quantities should be independent. But in the MSSM, the Z boson is the upper bound on the tree-level mass of the Higgs.

I am too tired to develop an interpretation. But tomorrow is another day.

Thursday, January 14, 2016

t, H, W, Z in 2016

Recently I have been puzzling again, over the Dharwadker-Khachatryan sum rule

mH = mW + 1/2 mZ

The problem being that it works quite well; but theory tends to favor relations among the squares of these masses (e.g. the "Veltman condition").

The primary purpose of this post is just to observe that you can get such a relation by squaring both sides of the D-K equation.

You do also get a term mW mZ. Perhaps it could result from a geometric mean, as in Torrente-Lujan.

Another simple thing that I want to observe, is that you might obtain something like D-K, by taking the square root of a Veltman-like sum rule. In other words, it could be approximately true, not by chance and not because it is directly implied by a fundamental theory, but as an algebraic side-effect of the truly fundamental relationship.

(The same applies to the Lopez-Castro - Pestieau - Garces-Doz sum rule, previously discussed here, which does involve masses squared, and therefore even more closely resembles Veltman's condition.)

P.S. Dharwadker also has a numerology for the ratio baryonic matter : dark matter : dark energy, which he deduces to be 1:5:18.

Wednesday, December 16, 2015

LHC bump

There were some events at 750 GeV, resembling a second Higgs boson. As we all know, the first Higgs boson, with a mass of 125 GeV, saturates a theoretical bound (vacuum stability), and so it is encouraging to read here of a scenario in which 750 GeV is the theoretical upper bound on the mass of a second Higgs. However, within that scenario, the upper limit is correlated with another parameter in a way that is ruled out empirically. Therefore, by numero-logic, this was a false alarm and we can all go back to sleep.

Wednesday, October 28, 2015

Today's vixra weather

The number-one reason I monitor vixra is physics numerology. However, a lot of other stuff happens there, and a few times I have remarked upon it here.

Today has an unusual surge of interesting activity. Most of this is due to a document dump by an independent researcher in Bangalore, who appears to combine some genuine expertise and originality in signal processing and device physics, with a commitment to a traditional cultural synthesis embracing music, metaphysics, and language, and then rounded out with general polymathic speculation.

But there's also just a higher-than-usual density of papers combining geographically diverse origins and professionalism above the vixra average. In particular, this paper on neutrino mixing from China has a quite professional look and exposition - until the author wants to motivate their ansatz for the mixing matrix, and then suddenly there's crazy talk [*] about fractals, Tsallis statistics, and M theory. Also notable is that this newly uploaded paper immediately acquired a comment by "Critic" purporting to explain its error. It makes me wonder if "Critic" is some colleague of the author's, who promised to publicly explain their criticism.

Finally, someone is using vixra to lampoon a notoriously self-promoting critic of modern physics, by writing preprints which assert that his work is vindicated by the most avantgarde trends of the mainstream. The first such paper was just silliness, but today's paper is sophisticated silliness, in that it shows a fluency in contemporary mathematical physics beyond what can be obtained by just copy-pasting snarxiv output. My guess is that the author is at PhD level.

[*] I may write a separate post about this paper. 

Friday, August 21, 2015

Constituent pions

I have stumbled upon an idea regarding the structure of a "constituent quark": a bare quark plus three pions. Now to see if it makes sense and if it would explain anything.

Friday, July 31, 2015

Today's crackpot synthesis

1. If one assumes that QCD embeds in a GUT group, then one can show that the proton mass mp is proportional to a power of the top mass, mt2/27.

Today I realized that Brannen's reformulation of the Koide relation can be described as follows: the Brannen mass scale of e,mu,tau is mp/3, and the Brannen phase is 3 * 2/27.

2. If the quark families (b,s,d and u,c,t) are treated as Koide triples, their phases are also (arguably) multiples of 2/27.

There is also a "waterfall" of Koide triples, descending from the top, which alternate between the families. One of these triples - s,c,b - has a Brannen mass of mp, and a Brannen phase of 2/3.

3. In Rivero's sBootstrap, the leptons are superpartners of mesons made of the five light quark flavors, and the quarks themselves are superpartners of diquarks made of those five flavors.

I proposed to interpret this as similar to a Seiberg duality. The primordial theory is like six-flavor QCD with one heavy quark and five massless quarks, and N=1 supersymmetry. The other is the standard model, with the light quark masses, the leptons, and the electroweak sector all emerging from the duality.

The leptons would then be the mesinos of the primordial theory, and the phenomenological quarks would be a mixture of the primordial quarks and the diquarkinos.

4. This suggests a way of thinking about the numerology in 1 & 2.

The primordial fact would be that mp ∝ mt2/27 is already true in the QCD-like theory on one side of the duality. The appearance of mp and 2/27 in standard model numerology is then to be attributed to the duality. 1 comes from the "lepton-mesino duality", and everything in 2 from the "quark-diquarkino self-duality".