Difference: ResultsSummer2022NP (1 vs. 3)

Revision 3
29 Aug 2023 - Main.MarcellaBona
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META TOPICPARENT name="ResultsWinter2018"

New Physics Fit results: Summer 2022

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  \label{eq:ceps} Concerning \Delta m_K, to be conservative, we add to the short-distance contribution a possible long-distance one that varies with a uniform distribution between zero and the experimental value of \Delta m_K.
Changed:
<
<		 The new physics parameters can also be rewritten as <latex>A_q = ( 1 + \frac{A^{NP}}{A^{SM}}) e^{2i}) e^{2 i \phi_{B_q}}</latex>
>
>		 The new physics parameters can also be rewritten as
A_q = \left( 1 + \frac{A_{q}^{NP}}{A_{q}^{SM}} e^{2 i (\phi^{NP}_{q}-\phi^{SM}_{q})} \right) A^{SM}_{q} e^{2 i \phi^{SM}_{q}}
 

The experimental quantities determined from the B^0_q-\bar{B}^0_q mixings are related to their SM counterparts and the NP parameters by the following relations:
Revision 2
29 Aug 2023 - Main.MarcellaBona
Line: 1 to 1
 
META TOPICPARENT name="ResultsWinter2018"

New Physics Fit results: Summer 2022

Input used are the same as in Standard Model Fit .
Changed:
<
<		 The fit presented here is meant to constrain the NP contributions to |Δ F|=2 transitions by using the available experimental information on loop-mediated processes In general, NP models introduce a large number of new parameters: flavour changing couplings, short distance coefficients and matrix elements of new local operators. The specific list and the actual values of these parameters can only be determined within a given model. Nevertheless mixing processes are described by a single amplitude and can be parameterized, without loss of generality, in terms of two parameters, which quantify the difference of the complex amplitude with respect to the SM one. Thus, for instance, in the case of B^0_q-\bar{B}^0_q mixing we define
C_{B_q} \, e^{2 i \phi_{B_q}} = \frac{\langle B^0_q|H_\mathrm{eff}^\mathrm{full}|\bar{B}^0_q\rangle} {\langle
>
>		 The fit presented here is meant to constrain the NP contributions to |Δ F|=2 transitions by using the available experimental information on loop-mediated processes In general, NP models introduce a large number of new parameters: flavour changing couplings, short distance coefficients and matrix elements of new local operators. The specific list and the actual values of these parameters can only be determined within a given model. Nevertheless mixing processes are described by a single amplitude and can be parameterised, without loss of generality, in terms of two parameters, which quantify the difference of the complex amplitude with respect to the SM one. Thus, for instance, in the case of B^0_q-\bar{B}^0_q mixing we define
C_{B_q} \, e^{2 i \phi_{B_q}} = \frac{\langle B^0_q|H_\mathrm{eff}^\mathrm{full}|\bar{B}^0_q\rangle} {\langle
  B^0_q|H_\mathrm{eff}^\mathrm{SM}|\bar{B}^0_q\rangle}\,, \qquad (q=d,s), where H_\mathrm{eff}^\mathrm{SM} includes only the SM box diagrams, while H_\mathrm{eff}^\mathrm{full} also includes the NP contributions. In the absence of NP effects, C_{B_q}=1 and \phi_{B_q}=0 by definition. In a similar way, one can write
C_{\epsilon_K} = \frac{\mathrm{Im}[\langle K^0|H_{\mathrm{eff}}^{\mathrm{full}}|\bar{K}^0\rangle]}
Line: 17 to 17
  \label{eq:ceps} Concerning \Delta m_K, to be conservative, we add to the short-distance contribution a possible long-distance one that varies with a uniform distribution between zero and the experimental value of \Delta m_K.
Added:
>
>		 The new physics parameters can also be rewritten as <latex>A_q = ( 1 + \frac{A^{NP}}{A^{SM}}) e^{2i}) e^{2 i \phi_{B_q}}</latex>
  The experimental quantities determined from the B^0_q-\bar{B}^0_q mixings are related to their SM counterparts and the NP parameters by the following relations:

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