Changes between Version 3 and Version 4 of WZPrimeAtNLO


Ignore:
Timestamp:
Jan 19, 2017, 4:54:27 PM (8 years ago)
Author:
Richard Ruiz
Comment:

Model, Refs, and Validation have been updated.

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  • WZPrimeAtNLO

    v3 v4  
    1313
    1414== Model Description ==
    15 This effective model extends the Standard Model (SM) field content by introducing the massive vector fields {{{$W^{'#pm}$}}} and {{{$Z'$}}} bosons, and are electrically charged and neutral, respectively. To remain model independence, couplings to SM gauge bosons and scalars are omitted.
     15This effective model extends the Standard Model (SM) field content by introducing the massive vector fields W'^+/-^ and Z' bosons, which are electrically charged and neutral, respectively. To remain model independence, couplings to SM gauge bosons and scalars are omitted.
    1616
    17 Following Refs. [ [#Gopalakrishna X], [#Han Y] ], the Lagrangian parameterizing the new vector bosons' couplings to up-type and down-type quark fields {{{$u_i$}}} and {{{$d_j$}}} is given by
     17Following Refs. [ [#Gopalakrishna 1], [#Han 2] ], the Lagrangian parameterizing the new vector bosons' couplings to up-type and down-type quark fields u,,i,, and d,,j,, is given by
    1818{{{
    1919#!latex
    2020\begin{eqnarray}
    21  \mathcal{L}^q  =
     21\mathcal{L}^q  =
    2222    - \frac{g}{\sqrt{2}} \sum_{i,j} \Big[
    2323       \overline{u}_i V_{ij}^{\rm CKM}~W_\mu^{\prime+}~\gamma^\mu
    … …  
    3030\end{eqnarray}
    3131}}}
    32 Here, {{{$i$}}} and {{{$j$}}} denote flavor indices, {{{$P_{L/R}=(1/2)(1\mp\gamma_5)$}}} and
    33 are the usual left/right-handed chirality projectors, {{{$V^{\rm CKM}$}}} is the CKM matrix,
     32Here, {{{$i$}}} and {{{$j$}}} denote flavor indices, P,,L/R,,
     33are the usual left/right-handed chirality projectors, V^CKM^ is the CKM matrix,
    3434and {{{$g$}}} and {{{$\theta_W$}}} are the weak coupling constant and mixing angle respectively.
    35 We choose coupling normalizations facilitating the mapping to the reference Sequential Standard Model
    36 Lagrangian {{{${\cal L}_{\rm SSM}$}}} [ [#Altarelli X] ].
     35We choose coupling normalizations facilitating the mapping to the reference Sequential Standard Model (SSM) Lagrangian {{{${\cal L}_{\rm SSM}$}}} [ [#Altarelli 3] ].
    3736The real-valued quantities {{{$\kappa_{L,R}^q$}}} and {{{$\zeta_{L,R}^q$}}}
     37serve as overall normalization of the new interactions relative to the strength of the weak coupling constant.
    3838
    39 
     39The interactions involving charged lepton $\ell$ and massless neutrino $\nu_\ell$ fields are parametrized by
    4040{{{
    4141#!latex
    4242\begin{eqnarray}
    43   \mathcal{L}^\ell_{\rm NP} =
     43\mathcal{L}^\ell =
    4444   - \frac{g}{\sqrt{2}}\sum_i\Big[
    4545       \overline{\nu}_{\ell_i} W_\mu^{\prime+}~\gamma^\mu
    … …  
    5555leptonic coupling strengths. As no right-handed neutrinos are present in the SM, the corresponding
    5656right-handed leptonic new physics couplings are omitted ({{{$\zeta_R^\nu = \kappa_R^\ell = 0$}}}).
    57 We assume that leptonic interactions are flavor diagonal.
    5857
    59 
    60 
     58From our general Lagrangians, the SSM limit is obtained by imposing the coupling strengths to be equal to the SM weak couplings up to an overall normalization factor:
    6159{{{
    6260#!latex
    … …  
    6967\end{eqnarray}
    7068}}}
    71 
    72 In
    73 the canonical SSM, the overall normalizations are further trivially fixed as
     69In the canonical SSM, the overall normalizations are further trivially fixed as
    7470{{{
    7571#!latex
    … …  
    8480
    8581
    86 == QCD Corrections ==
     82== NLO in QCD Corrections ==
    8783The above Lagrangian in the Feynman Gauge was implemented into FeynRules  2.3.10. QCD renormalization and R2 rational counter terms were determined using NLOCT 1.02 and FeynArts 3.8. Feynman rules were collected into a single UFO, available below.
    8884In the UFO file, five massless quarks are assumed as are zero off-diagonal CKM matrix entries.
    89 For additional details, see [ [#Fuks 2] ] and references therein.
     85For additional details, see [ [#Fuks 4] ] and references therein.
    9086These additions permit tree-level calculations at LO and NLO in QCD, loop-induced calculations at LO in QCD, and NLO matched to NNLL(Veto) resummation using MadGraph_aMC@NLO.
    9187
    … …  
    124120
    125121== Validation ==
    126 * The model file was validated at NLO in [ [#Fuks 2] ] by comparing against Standard Model predictions and {{{$W'}}}$ predictions from [ [#Sullivan ] ], as well as private LO and NLO calculations. See Table III of [ [#Fuks 2] ] for representative total widths that have been checked against analytic computation.
     122* The model file was validated at NLO in [ [#Fuks 4] ] by comparing against Standard Model predictions and W^'^ predictions from [ [#Sullivan 5 ] ], as well as private LO and NLO calculations. See Table III of [ [#Fuks 4] ] for representative total widths that have been checked against analytic computation.
    127123
    128124
    … …  
    131127
    132128== References ==
    133 * Please cite [  ] for the model file, [] for NLO corrections, and [] for automated veto resummation.
     129* Please cite [3,4] for the model file, [4,5] for NLO corrections, and [6] for automated veto resummation.
    134130
    135 [=#Altarelli] [] G. Altarelli, B. Mele and M. Ruiz-Altaba, ''Searching for New Heavy Vector Bosons in $p \bar{p}$ Colliders,''   Z. Phys. C'''45''', 109 (1989), doi:10.1007/BF01556677
     131[=#Gopalakrishna] [1] S. Gopalakrishna, T. Han, I. Lewis, Z.-G. Si and Y. F. Zhou, ''Chiral Couplings of {{{$W'$}}} and Top Quark Polarization at the LHC,'' PRD'''82''', 115020 (2010) arXiv:1008.3508 [hep-ph]
    136132
    137 [=#Fuks] [] B. Fuks, R. Ruiz, ''A Comprehensive Framework for Studying {{{$W'$}}} and {{{$Z'$}}} Bosons at Hadron Colliders with Automated Jet Veto Resummation,''  arXiv:1701.xxxx [hep-ph]
     133[=#Han] [2] T. Han, I. Lewis, R. Ruiz and Z.-G. Si, ''Lepton Number Violation and {{{$W^\prime$}}} Chiral Couplings at the LHC,'' PRD'''87''', no. 3, 035011 (2013) arXiv:1211.6447 [hep-ph]
    138134
    139 [=#Sullivan] [] Z. Sullivan, ''Fully differential {{{$W'$}}} production and decay at next-to-leading order in QCD,'' PRD'''66''', 075011 (2002),   arXiv:hep-ph/0207290
     135[=#Altarelli] [3] G. Altarelli, B. Mele and M. Ruiz-Altaba, ''Searching for New Heavy Vector Bosons in $p \bar{p}$ Colliders,''   Z. Phys. C'''45''', 109 (1989), doi:10.1007/BF01556677
    140136
    141 [=#Becher] [] T. Becher, R. Frederix, M. Neubert and L. Rothen, ''Automated NNLL  $+$  NLO resummation for jet-veto cross sections,'' EPJC'''75''', no. 4, 154 (2015) arXiv:1412.8408 [hep-ph]
     137[=#Fuks] [4] B. Fuks, R. Ruiz, ''A Comprehensive Framework for Studying {{{$W'$}}} and {{{$Z'$}}} Bosons at Hadron Colliders with Automated Jet Veto Resummation,''  arXiv:1701.xxxx [hep-ph]
    142138
    143 [=#Gopalakrishna] [] S. Gopalakrishna, T. Han, I. Lewis, Z.-G. Si and Y. F. Zhou, ''Chiral Couplings of {{{$W'$}}} and Top Quark Polarization at the LHC,'' PRD'''82''', 115020 (2010) arXiv:1008.3508 [hep-ph]
     139[=#Sullivan] [5] Z. Sullivan, ''Fully differential {{{$W'$}}} production and decay at next-to-leading order in QCD,'' PRD'''66''', 075011 (2002),   arXiv:hep-ph/0207290
    144140
    145 [=#Han] [] T. Han, I. Lewis, R. Ruiz and Z.-G. Si, ''Lepton Number Violation and {{{$W^\prime$}}} Chiral Couplings at the LHC,'' PRD'''87''', no. 3, 035011 (2013) arXiv:1211.6447 [hep-ph]
     141[=#Becher] [6] T. Becher, R. Frederix, M. Neubert and L. Rothen, ''Automated NNLL  $+$  NLO resummation for jet-veto cross sections,'' EPJC'''75''', no. 4, 154 (2015) arXiv:1412.8408 [hep-ph]
     142