Changes between Version 1 and Version 2 of Octet_tcgg


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Timestamp:
10/28/15 16:16:34 (2 years ago)
Author:
druekeel
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  • Octet_tcgg

    v1 v2  
    1 bla 
     1= A Coloron Model = 
     2 
     3== Authors == 
     4 
     5* Elizabeth Drueke (Michigan State University) 
     6* Joseph Nutter (Michigan State University) 
     7* Reinhard Schwienhorst (Michigan State University) 
     8* Natascia Vignaroli (Michigan State University) 
     9* Devin G. E. Walker (SLAC National Accelerator Laboratory) 
     10* Jiang-Hao Yu (The University of Texas at Austin) 
     11 
     12== Description of the Model == 
     13 
     14Colored vector bosons from new strong dynamics, Kaluza-Klein gluons or KKg’s (G*) in a dual 5D picture, have been searched for mainly in the t-tbar channel.  In this model, the third generation quarks couple differently than the light quarks under an extended  
     15{{{ 
     16#!latex 
     17$SU(3)_1 \times SU(3)_2$ 
     18}}} 
     19color gauge group.  The mixing between light and third generation quarks is induced by the interactions of all three generation quarks with a set of new heavy vector0like quarks.  The model reproduces the CKM mixing and generates flavor-changing neutral currents (FCNCs) from non-standard interactions.  Due to the specific structure of the model, dangerous FCNCs are naturally suppressed and a large portion of the model parameter space is allowed by the data on meson mixing process and on  
     20{{{ 
     21#!latex 
     22$b \to \gamma$. 
     23}}} 
     24The extended color symmetry is broken down to  
     25{{{ 
     26#!latex 
     27$SU(3)_C$ 
     28}}} 
     29by the (diagonal) expectation value, 
     30{{{ 
     31#!latex 
     32$\langle \Phi \rangle \propto u \cdot {\cal I}$, 
     33}}} 
     34of a scalar field Phi which transforms as a  
     35{{{ 
     36#!latex 
     37$\bf 3, \bar{3}$ 
     38}}} 
     39under the color gauge structure.  It is assumed that color gauge breaking occurs at a scale much higher than the electroweak scale. 
     40 
     41Breaking the color symmetry induces a mixing between the  
     42{{{ 
     43#!latex 
     44$SU(3)_1$ \rm{and} $SU(3)_2$ 
     45}}} 
     46gauge fields 
     47{{{ 
     48#!latex 
     49$A^{1}_{\mu}$ \rm{and} $A^{2}_{\mu}$, 
     50}}} 
     51which is diagonalized by a rotation determined by  
     52{{{ 
     53#!latex 
     54$\cot\omega = \frac{g_1}{g_2} \qquad g_s = g_1 \sin\omega = g_2 \cos\omega$, 
     55}}} 
     56where g_s is the QCD strong coupling and g_1 and g_2 are the SU(3)_1 and SU(3)_2 gauge couplings, respectively.  The mixing diagonalization reveals two color vector boson mass eigenstates: the mass-less SM gluon and a new massive color-octet vector boson G* given by 
     57{{{ 
     58#!latex 
     59$G^{*}_{\mu}=\cos\omega A^{1}_{\mu} - \sin\omega A^{2}_{\mu} \qquad M_{G^{*}} = \frac{g_s u}{\sin\omega \cos\omega}.$ 
     60}}} 
     61In the NMFV model, the third generation quarks couple differently than the light quarks under the extended color group.   
     62{{{ 
     63#!latex 
     64$g_L=(t_L, b_L),$ \rm{ } $t_R,$ \rm{ and } $b_R,$ 
     65}}} 
     66as well as a new weak-doublet of vector-like quarks, transform as  
     67{{{ 
     68#!latex 
     69$({\bf 3,1})$ 
     70}}} 
     71under the color gauge group, while the light generation quarks are charged under SU(3)_2 and transform as 
     72{{{ 
     73#!latex 
     74$({\bf 1,3})$ 
     75}}} 
     76The G* interactions with the color currents associated with SU(3)_1 and SU(3)_2 are given by 
     77{{{ 
     78#!latex 
     79$g_s \left(\cot\omega J^{\mu}_1 - \tan\omega J^{\mu}_2 \right)G^{*}_{\mu}.$ 
     80}}} 
     81 
     82== Note == 
     83 
     84Need to reread and make sure everything is the same as the paper and that nothing for KKg has been carried over.