Higgs Branching Ratios
Goal of the group
Contact Persons:
- Ansgar Denner (Würzburg), Sven Heinemeyer (IFT), Alexander Mueck (Aachen), Ivica Puljak (Split), Daniela Rebuzzi (Pavia)
Group Members:
- Contact persons plus anybody else who want to join the effort.
Responsible for the evaluation of the MSSM BRs (and ROOT files): E. Bagnaschi, S. Heinemeyer, S. Liebler
Available Tools and Calculations
- HDECAY
(M. Spira)
- FeynHiggs
(T. Hahn, S. Heinemeyer, W. Hollik, H. Rzehak, G. Weiglein)
- PropHecy4f
(A. Bredenstein, A. Denner, S. Dittmaier, Authors, A. Mück, M.M. Weber)
- CPSuperH
(J. S. Lee, A. Pilaftsis, M. Carena, S. Y. Choi, M. Drees, J. Ellis, and C. Wagner)
- EW-NLO Corrections
(S. Actis, G. Passarino, C. Sturm, S. Uccirati)
SM Results
YR4 results
Latest results on SM-like Higgs boson Branching ratios
YR4 BR Twiki.
Tables
The tables below list the central values and each of the single contribution to the SM Higgs BR uncertainty. They are organized as follows:
- one table for the central values BR.central.dat, listing the BRs, the total width and the partial widths;
- one table for each of the parametric (PU) and theoretical (TU) contribution to the total BR uncertainty that we considered (see http://arxiv.org/abs/1107.5909
for details), listing the BRs and the total width.
- TU
- BR.TU.WWZZplus.dat, BR.TU.WWZZminus.dat, BR.TU.ttplus.dat, BR.TU.ttminus.dat, BR.TU.Zgammaplus.dat, BR.TU.Zgammaminus.dat, BR.TU.2gammaplus.dat, BR.TU.2gammaminus.dat, BR.TU.ggplus.dat, BR.TU.ggminus.dat, BR.TU.mumuplus.dat, BR.TU.mumuminus.dat, BR.TU.tautauplus.dat, BR.TU.tautauminus.dat, BR.TU.ccplus.dat, BR.TU.ccminus.dat, BR.TU.bbplus.dat, BR.TU.bbminus.dat
- PU
- BR.PU.mtplus.dat, BR.PU.mtminus.dat, BR.PU.mbplus.dat, BR.PU.mbminus.dat, BR.PU.mcplus.dat, BR.PU.mcminus.dat, BR.PU.alphaplus.dat, BR.PU.alphaminus.dat
The content of each file is summarized for clearness in the first line and should be quite self-explanatory. Numbers are provided in 4 digits in the range from 80
GeV to 1
TeV.
With this information one should be able to easily calculate any derived one (like uncertainties on partial widths, for instance).
References
"Standard Model Higgs-Boson Branching Ratios with Uncertainties", A. Denner (Wurzburg U.), S. Heinemeyer (Cantabria U., Santander), I. Puljak (Split Tech. U.), D. Rebuzzi (INFN, Pavia & Pavia U.), M. Spira (PSI, Villigen)
32 pp. Eur.Phys.J. C71 (2011) 1753
e-Print: arXiv:1107.5909 [hep-ph].
* Basis for SM branching ratios of arXiv:1101.0593
[1] A. Djouadi, J. Kalinowski, M. Spira, CPC 108 (1998) 56-74, A. Djouadi, J. Kalinowski, M. Muehlleitner, M. Spira, arXiv:1003.1643 (2010).
[2] A. Bredenstein, A. Denner, S. Dittmaier, M.M. Weber, PRD 74 (2006) 013004, JHEP 0702 (2007) 80.
[3] S. Actis, G. Passarino, Ch. Sturm, S. Uccirati, NPB 811 (2009) 182-273.
* H -> ff
[4] D.Yu. Bardin, B.M. Vilensky, and P.Kh. Khristova, Sov. JNP 53 (1991) 152-158.
[5] A. Dabelstein and W. Hollik, Z.Phys. C53 (1992) 507-516.
[6] B.A. Kniehl, NPB 376 (1992) 3-28.
* H -> bb/cc
[7] S.G Gorishnii, A.L Kataev, S.A. Larin and L.R. Surguladze, PRD 43 (1991) 1633-1640.
[8] K.G. Chetyrkin, PLB 390 (1997) 309-317.
[9] K.G. Chetyrkin and M. Steinhauser, PLB 408 (1997) 320-324.
* H -> tt
[10] E. Braaten and J.P. Leveille, PRD 22 (1980) 715.
[11] N. Sakai, PRD 22 (1980) 2220.
[12] T. Inami and T. Kubota, NPB 179 (1981) 171.
[13] M. Drees and K. Hikasa, PRD 41 (1990) 1547.
[14] R. Harlander and M. Steinhauser, PRD 56 (1997) 3980-3990.
[15] A. Ghinculov, PLB 337 (1994) 137-140.
[16] L. Durand, K. Riesselmann and B.A. Kniehl, PRL 72 (1994) 2534-2537.
* H -> gamma gamma
[17] M. Spira, A. Djouadi, D. Graudenz and P.M. Zerwas, NPB 453 (1995) 17-82.
[18] K. Melnikov and O.I. Yakovlev, PLB 312 (1993) 179-183.
[19] M. Inoue, R. Najima, T. Oka and J. Saito, MPL A9 (1994) 1189-1194.
[3] S. Actis, G. Passarino, Ch. Sturm, S. Uccirati, NPB 811 (2009) 182-273.
[20] U. Aglietti, R. Bonciani, G. Degrassi and A. Vicini, JHEP 0701 (2007) 021.
* H -> gluon gluon
[17] M. Spira, A. Djouadi, D. Graudenz and P.M. Zerwas, NPB 453 (1995) 17-82.
[21] K.G. Chetyrkin, B.A. Kniehl and M. Steinhauser, PRL 79 (1997) 353-356.
[22] P.A. Baikov and K.G. Chetyrkin, PRL 97 (2006) 061803.
[3] S. Actis, G. Passarino, Ch. Sturm, S. Uccirati, NPB 811 (2009) 182-273.
[20] U. Aglietti, R. Bonciani, G. Degrassi and A. Vicini, JHEP 0701 (2007) 021.
* H -> 4f
[2] A. Bredenstein, A. Denner, S. Dittmaier, M.M. Weber, PRD 74 (2006) 013004, JHEP 0702 (2007) 80.
[15] A. Ghinculov, NPB 455 (1995) 21-38.
[23] A. Frink, B.A. Kniehl. D. Kreimer and K. Riesselmann, PRD 54 (1996) 4548-4560.
Relative uncertainties of partial decay widths (HDECAY+PROPHECY4F)
Process |
Uncertainty |
Total |
H -> bb/cc |
QCD ~ 0.1-0.2% |
1-2 % |
|
EW ~ 1-2% for M_H <~ 135 GeV |
|
H -> tau tau |
EW ~ 1-2% |
1-2 % |
H -> WW/ZZ -> 4f |
EW ~ 0.5% for M_H < 500 GeV |
0.5-15% |
|
~ 0.17 * (M_H/1 TeV)^4 for M_H > 500 GeV |
|
H -> tt |
QCD <~ 5% (only NLO mass effects) |
~5-10% |
|
EW ~ 2% for M_H < 500 GeV |
|
|
~ 0.1 * (M_H/1 TeV)^4 for M_H > 500 GeV |
|
H -> gg |
QCD ~ 10% (only NNLO included in HDECAY) |
~10% |
|
EW ~ 1% |
|
H -> gamma gamma |
QCD+EW ~ 1% |
~1% |
- Basis for estimate of uncertainties from missing higher orders: hdec_tu.txt: (ad, 7.04.2010)
Validity of H->4f branching ratio approximation with PDG values
We find that sometimes we calculate the Higgs signal cross section for pp->H->WW*/ZZ*->4f as
σ(pp->H) * Br(H->VV) * Br(V->ff) * Br(V->ff) * (statistical factor) ... (1)
based upon Higgs production cross section in CERN Yellow Report (Table 34) , BR H->WW/ZZ (Table 28-29) by Prophecy4f, and
PDG
values for Br(W->lv,qq) and Br(Z->ll,vv,qq) assuming lepton universality.
The logics behind this approximation (1) are
i) narrow Higgs-width approximation,
and ii) on-shell W and Z gauge bosons.
The second approximation is not accurate enough for Higgs mass below WW/ZZ threshold.
The ratio of above approximation (1) over Prophecy4f prediction is shown in Figure 1.
Prophecy4f is the most accurate program with complete NLO QCD+EW corrections with all interference and leading two-loop heavy-Higgs corrections.
1) H->ZZ->llll (top-left)
- For H->eeee or μμμμ, there is large enhancement on BR due to interference for MH<200 GeV (i.e. below WW/ZZ thresholds).
- Approximation (1) underestimates the BR for H->eeee and μμμμ by -11% at MH=120 GeV.
2) H->WW/ZZ->lvlv (top-right)
- For H->eνeν or μνμν, there is an interference effect for MH<200 GeV (i.e. below WW/ZZ thresholds).
- Approximation (1) overestimates the BR for H->eνeν and μνμν by +5.4% at MH=120 GeV.
- Above WW/ZZ threshold, it agrees with Prophecy4f at -1%, and down to -3% level for MH=1 TeV.
3) H->ZZ->llqq, H->WW->lνqq (bottom-left)
- At 1% level agreement between Approximation (1) and Prophecy4f.
4) H->ZZ->ννqq, H->WW/ZZ->qqqq (bottom-right)
- For H->ννqq, there is an agreement below 1%.
- For H->qqqq, there is an interference effect for MH<200 GeV (i.e. below WW/ZZ thresholds).
Figure 1: Comparison of Standard Model Higgs-boson decay branching-ratio for H->4f final states using PDG values (1) over Prophecy4f. The PDG values of vector-boson decay branching-ratios into two fermions assuming lepton universality are used.
For the quality if the approximation (1) it is crucial that the branching ratios BR(H->WW/ZZ) include all off-shell effects consistently.
While these are at the level of 1% above thresholds, they are sizeable below WW/ZZ thresholds.
The branching ratios BR H->WW/ZZ (Table 28-29) were determined with Prophecy4f and thus contain the full off-shell effects.
The approximation (1) neglects all interferences between WW and ZZ decay channels.
Above WW/ZZ thresholds the interference is small, since the resonances are in different regions of phase space for WW and ZZ.
Below WW/ZZ threshold the interference can become sizeable.
Its size can be determined with Prophecy4f by comparing different channels as shown above."
In conclusion, for precision Higgs physics, it is strongly recommended that
- Use H->4f BRs whenever possible, and calculate signal cross section σ(ggF+VBF+...)*Br(H->4f) (with narrow Higgs-width approximation),
- We should investigate for new Monte Carlo with NLO QCD (Higgs production) + NLO QCD+EW H->4f (Higgs decay).
For latter purpose, now people are working on Prophecy4f to implement the generation of unweighted events, which could then fed into a parton shower MC.
(2011.01.26)
MSSM
Notes, write-ups, ...
- List of MSSM isues, open questions etc.:br-mssm-01.txt: (sh, 18.02.2010)
- First suggestion for strategy:br-mssm-02.txt: (sh, 12.03.2010)
- Modifications after meeting 16.03.2010: br-mssm-03.txt (sh, 19.03.2010)
- mhmax- and nomixing-tables uploaded, data format in `column-layout.txt'; these files can be found in the attachments (sh, 22.03.2010)
- minutes can be found at the end of this page
YR3 numbers:
The numbers have been obtained as described in YR2 and YR3. All data can be found here:
Data for MA = 1
TeV .. 2
TeV has been added (01.06.2015). File names as before, but scenario name extended by "-MA2".
UPDATE (25.06.2015): data re-evaluated with
FeynHiggs2.11.2 (for a better treatment of heavy Higgs decays to heavy gauge bosons).
UPDATE (10.07.2015): data for MA = 80
GeV .. 1
TeV has been re-evaluated with FH2.11.2 and HD6.3.1 (as used for the heavy Higgs data). Still missing: MA = 5
GeV .. 80
GeV and mhmod+ with mu <> 200
GeV.
- README from Daniela's (final) script, describes the output files DR-script-final-README Some data files have been updated to contain BR(H -> hh) and BR(A -> Zh).
For the mhmodp scenario results are provided for mu = +-200, +-500, +-1000
GeV (+200
GeV is the default (first set)):
WARNING (29.01.2015): the new files for mu <> +200
GeV are not ok.
UPDATE (09.03.2015): "neutral" files updated, hopefully ok.
UPDATE (17.03.2015): "charged" files updated, hopefully ok.
UPDATE (11.12.2015): files for mu <> +200
GeV updated.
Note: tauphobic BRs for Atau = Ab = At, mu = 500 (wrong!): got deleted??
Note: tauphobic BRs were corrected for Atau = 0 on 04.03.2014.
Note: tauphobic BRs were corrected for mu = 2000 on 02.09.2014.
Just for comparisons: tauphobic BRs for Atau = Ab = At and mu = 2000
(Updated 20.12. using Hdecay6.3.1)
New results for the
"low-tb-high" scenario:
FeynHiggs table file
(The file was updated with "round" numbers" in tan_beta on 30.01.2015, physics remains unchanged.)
(The result files were updated 12.12.2014 using Hdecay6.30.; 19.12.2014 using Hdecay6.3.1, 30.01.2015 with "round numbers" in tan_beta, physics remains unchanged.)
UPDATE (18.03.2015): some lines removed of each file, where FH gave no result (all in the area tb <= 1, MA <= 270
GeV)
UPDATE (28.04.2015): recalculation with SM input parameters fully adjusted to
LHCHXSWG using
this special input file, Ga(H -> hh) evaluated with
FeynHiggs 2.10.4, including corrections beyond one-loop. (charged Higgs updated: 13.05.2015)
UPDATE (21.05.2015): special files for tan beta = 1.01 (since 1.00 could lead to numerical instabilities).
Previous results using an older version of the script:
YR2/3 numbers for light charged Higgs production: BR(t -> H+ b) (to be revisited!)
Format: MHp, MA, tb, Gamma, BR, 0 (for low-MH: MHp, Re(mu), Im(mu), tb, Gamma, BR, 0).
For the mhmodp scenario results are provided for mu = +-200, +-500, +-1000
GeV (+200
GeV is the default (first set)):
- BR(t, mhmodp): mhmodp-BRt.out
- BR(t, mhmodp, mu = +500): mhmodp-mu0500p-BRt.out
- BR(t, mhmodp, mu = +1000): mhmodp-mu1000p-BRt.out
- BR(t, mhmodp, mu = -200): mhmodp-mu0200m-BRt.out
- BR(t, mhmodp, mu = -500): mhmodp-mu0500m-BRt.out
- BR(t, mhmodp, mu = -1000): mhmodp-mu1000m-BRt.out
YR1 numbers: BR(h/H/A -> tau tau)
The numbers for this channel as included in the YR (and in agreement with the MSSM XS set-up) obtained with
FeynHiggs2.7.4 can be downloaded here. They have been obtained in the mhmax scenario with SM parameters
chosen according to the generally agreed values.
The tan beta range in the files here is larger than in the YR: 5..60 (5).
The MA range in the files here is larger than in the YR: 90 .. 200 (10), 220 .. 500 (20)
*
mhmax_brtautau_lowMA.out: mhmax_brtautau_lowMA.out
*
mhmax_brtautau_highMA.out: mhmax_brtautau_highMA.out
The format of the files:
#1: MA, #2: tan beta, #3: Mh, #4: MH,
#5: Gamma(h -> tau tau), #6: BR(h -> tau tau), #7: BR(h -> tau tau)_SM,
#8: Gamma(H -> tau tau), #9: BR(H -> tau tau), #10: BR(H -> tau tau)_SM,
#11: Gamma(A -> tau tau), #12: BR(A -> tau tau), #13: BR(A -> tau tau)_SM
- Higgs mass evaluations: FeynHiggs vs. CPSuperH (sh, 04.06.2010)
Mh: mhmax:
eps.gz pdf;
nomix:
eps.gz pdf
Mh differences: FH - CPsH: mhmax:
eps.gz pdf;
nomix:
eps.gz pdf
- Comparison of FeynHiggs vs. CPSuperH: sin^2(alpha_eff): FH/CPsH (sh, 25.06.2010)
mhmax:
eps.gz pdf;
nomix:
eps.gz pdf
Documents
Meetings
Links