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On a Singular Solution in Higgs Field (4) -Higgs mass correction with the mesons’ masses of excited states
Kazuyoshi Kitazawa
To cite this version:
Kazuyoshi Kitazawa. On a Singular Solution in Higgs Field (4) -Higgs mass correction with the mesons’ masses of excited states. 51. International Winter Meeting on Nuclear Physics, Bormio (Italy), Jan 2013, Bormio, Italy. Elementary Particle Physics. �hal-01410051�
2016/12/6
1 On a Singular Solution
in Higgs Field (4)
-Higgs mass correction with the mesons’
masses of excited states
Kazuyoshi KITAZAWA Mitsui Chemicals (51st BORMIO 2013, 21st Jan.)
K. KITAZAWA: 51st BORMIO 2013, 21st Jan.
Contents
We have recently discussed the mass and the basic structure of SM Higgs boson (H0) by obtaining asymptotic solution for the Euler- Lagrange equation of nonlinear Klein-Gordon type in Higgs field.
In this paper, we’ll treat with ; 1. Brief review
- Higgs mass from an asymptotic solution in Higgs field and its mass formula by mesons’ masses of truncated-Octahedron - Reconstruction for a mass formula of the fullerene glueballs
as ur-Higgs boson
2. Mass correction with the mesons’ masses of excited (or resonant) states
2
- Decay of ur-Higgs boson into several mesons through virtual inverse reactions with suppression against radiative decays into respective mesons of ground states
- Corrected Higgs mass formulae with the respective mass of excited states, and its multiwall-fullerene representation of glueballs, having ρ mesons inside, as an excited state of the ur-Higgs boson
3. Some candidate of the irradiated γ-rays
K. KITAZAWA: 51st BORMIO 2013, 21st Jan. 3
== Brief review ==
K. KITAZAWA: 51st BORMIO 2013, 21st Jan.
- Higgs mass from an asymptotic solution in Higgs field and its mass formula by mesons’ masses of truncated-octahedron
2v, ( 0) : Asymptotic singular solution
Higgs Mass Formula
Thus from EOM, Higgs field mass formulais
( ) 0,
2 2
2
2 2 2 (Z )2 2 ,
m W W g G
where , infinitesimal Grassmann number
0
2
H 2 2 2
2 2
M 120.611 GeV c
1 cos
W W Z
W W Z
M M M
M M
4
5 0
BS
DS
DS
DS
DS
DS
0 BS
0 BS 0
BS
BC
BC
BC
BC
BC
BC
BC
BC 0 BS
0 BS 0
BS
0 BS
DS
DS DS
DS
DS
DS
BC
BC
BS0
BS0
BC BC
DS
K. KITAZAWA: 51st BORMIO 2013, 21st Jan.
0 0
0 ,...(exper. values)
H(3 ) 3 , 10 4
i
S S C C S S
c c
M
B B B B D D M
GeV/c2
120.612
truncated-Octahedron (tr-O)
K. KITAZAWA: 51st BORMIO 2013, 21st Jan. 6
- Reconstruction for a mass formula of the fullerene glueballs as ur-Higgs boson
A Hexagon on ur-H0(GB240)
GB240≡ f0(500)×240 ：Ihsymmetry
ur-H0 Clustering force between glueballs
= Color valence
2
GB f (500)0 MeV c
Mass = 502.55
2016/12/6
2
K. KITAZAWA: 51st BORMIO 2013, 21st Jan.
== Mass correction with the mesons’ masses of excited (or resonant) states ==
7
- Decay of ur-Higgs boson into several mesons through virtual inverse reactions with suppression against radiative decays into respective mesons of ground states
f0 J
Where we considered virtual inverse reaction:
0 0
0
0 0
0 H
0
10
1 500
(3 ) 3 , 4 Remember that
( )* H , where H condensates into GB fullerene (ur-H ), and .
3 : 3 3J 3 6 f ,
i
S S C C S S
c c
c M
c S
B B B B D D t
M t
K. KITAZAWA: 51st BORMIO 2013, 21st Jan. 8
(L. Bianchi, 2012)
f0
Excitation from ‘the platform’ (J/Ψ) to an upper state (Χc0)
The radiative decay of J/Ψ →γηCis to be suppressed by γ-rays from surroundings.
K. KITAZAWA: 51st BORMIO 2013, 21st Jan. 9
The formula and the mass value above are suggested by another expression of relating to the suppressed decay process (expected):
(H )0 * 3 (2S), 2 (770) (770) 4
i
S S C C S S
c M
B B B B D D
M about which, more over, the decay of ηc(2S)→ (π+π－) ηc (1S)has not seen yet.
Therefore, we shall here adopt the former expression.
0 * 0 3 3
H
2
( ) (1p) (1990) (1990) 4
125.28 G . , e 3
V c
i
S S C C S S
M c
B B B B D D
M
- Corrected Higgs mass formulae with the respective mass of excited states, and its multiwall-fullerene representation of glueballs, having ρ mesons inside, as an excited state of the ur-Higgs boson
Corrected Higgs boson mass by mesons’ masses of excited states:
K. KITAZAWA: 51st BORMIO 2013, 21st Jan. 10
Multiwall-fullerene representation of glueballs, having ρ mesons inside, as an excited state of the ur-Higgs boson
And we add next expression also:
0 * 0
(H ) (1p), (2070) (2070) 4 .
i
S S C C S S
M b
B B B B D D
M
GB40
(H )0 * 6
40
40 (770)
(770) (770)
40 3100
6 GB
6 GB
f
3 .
i
i
i M
M
M
M
So the mass of an excited state of ur-Higgs boson (H0)*may have a figure of 6-walls GB40fullerene which intercalates the 3ρ(770)ρ(770).
K. KITAZAWA: 51st BORMIO 2013, 21st Jan. 11
Overview: transformation of Higgs boson
Glueball level Meson (mass) level
(tr-O)*
tr-O (ur-Higgs)*
ur-Higgs 120.611
125.28 GeV/c2
excite excite
decay (develop)
decay (fold) (γγ; γ, …)
(fragmentation)
K. KITAZAWA: 51st BORMIO 2013, 21st Jan. 12
3. Some candidate of the irradiated γ-rays
Remind that
0
2 where energy of MeV.
( )* H , 492
Primakoff effect: B m; m B
tt
B electromagnetic field: B
γ-rays from neighbor- (tt)*s
Then cc_bar production from the elements (=glueballs, i.e., f0’s), electro- magnetic field, and the fragmentation of ur-H0may occur through the multi- photon resonance.
B Self-rotation of
ur-H0is expected, as observed in actual carbon- fullerene.
