Physics Letters B 780 (2018) 346–351
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
Associated production of a Higgs boson decaying into bottom quarks at
the LHC in full NNLO QCD
Giancarlo Ferrera
a,∗
, Gábor Somogyi
b
, Francesco Tramontano
c
a
Dipartimento di Fisica, Università di Milano and INFN, Sezione di Milano, I-20133 Milan, Italy
b
MTA-DE Particle Physics Research Group, H-4010 Debrecen, PO Box 105, Hungary
c
Dipartimento di Fisica, Università di Napoli and INFN, Sezione di Napoli, I-80126 Naples, Italy
a r t i c l e i n f o a b s t r a c t
Article history:
Received
15 September 2017
Received
in revised form 24 January 2018
Accepted
6 March 2018
Available
online 12 March 2018
Editor:
G.F. Giudice
We consider the production of a Standard Model Higgs boson decaying to bottom quarks in association
with a vector boson W
±
/Z in hadron collisions. We present a fully exclusive calculation of QCD radiative
corrections both for the production cross section and for the Higgs boson decay rate up to next-to-
next-to-leading
order (NNLO) accuracy. Our calculation also includes the leptonic decay of the vector
boson with finite-width effects and spin correlations. We consider typical kinematical cuts applied in
the experimental analyses at the Large Hadron Collider (LHC) and we find that the full NNLO QCD
corrections significantly decrease the accepted cross section and have a substantial impact on the shape
of distributions. We point out that these additional effects are essential to obtain precise theoretical
predictions to be compared with the LHC data.
© 2018 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP
3
.
The discovery of the long sought Higgs boson (H)[1,2]by
the ATLAS and CMS Collaborations at the Large Hadron Collider
(LHC) [3,4]paved the way for the experimental investigation of
the electroweak (EW) symmetry breaking mechanism and, in par-
ticular,
for the measurements of the Higgs boson couplings to
the Standard Model (SM) particles. In this respect the increasing
amount of precise experimental data collected at the LHC demands
a corresponding improvement of theoretical predictions.
One
of the main production mechanisms of the SM Higgs bo-
son
at hadron colliders is the associated production with a vector
boson (V = W
±
, Z ). This process offers the unique opportunity to
study both the Higgs boson coupling to massive gauge bosons and
to bottom (b) quarks via the decay H → b
¯
b.
A direct search for the SM Higgs boson through associated
VH production and H → b
¯
b decay has been carried out at the
LHC at a centre–of–mass energy of
√
s = 7/8TeV[5,6] and at
√
s = 13 TeV [7,8]. The ATLAS and CMS Collaborations observed
an excess of events above the expected background with a mea-
sured
signal strength relative to the SM expectation of 0.90 ±
0.18 (stat.)
+0.21
−0.19
(syst.) [7] and μ = 1.06
+0.31
−0.29
[8] respectively.
High precision theoretical predictions require detailed com-
putations
of radiative corrections for cross sections and corre-
*
Corresponding author.
E-mail
address: giancarlo .ferrera @mi .infn .it (G. Ferrera).
sponding distributions. The total cross section for associated VH
production
is known at next-to-next-to-leading order (NNLO) in
QCD [9–12] and next-to-leading order (NLO) in the electroweak
theory [13,14]. Fully differential calculations have been performed
in NNLO QCD for the VH production cross section, together with
the NLO QCD corrections for the Higgs boson decay rate into bot-
tom
quarks [15–18]. The fully differential H → b
¯
b decay rate has
been computed up to NNLO in QCD [19,20] while the inclusive rate
is known up to O(α
4
S
) [21] and up to NLO in the electroweak the-
ory [22,23].
Resummation and higher order (beyond NNLO) QCD
effects have been investigated in Refs. [24–30] while the combi-
nation
of fixed-order QCD calculations with parton shower Monte
Carlo algorithms has been considered in Refs. [31–33]. NLO EW ef-
fects
at fully differential level for VH production with the leptonic
decay of the vector boson have been considered in Refs. [14,34].
In
this letter we present the fully differential calculation of the
NNLO QCD corrections for the production cross section and for the
Higgs boson decay rate to bottom quarks, exploiting the very good
accuracy of the narrow width approximation for the Higgs boson
(
H
m
H
). In Refs. [16,35]it was shown that, when the set of
kinematical cuts applied in the LHC analyses are considered, the
effect of QCD corrections to the Higgs boson decay process can
be large. Motivated by these findings, we extend existing calcula-
tions
on higher order QCD predictions by considering the complete
second
order terms. Together with the NNLO corrections for the
production cross section, we include the NNLO corrections to the
https://doi.org/10.1016/j.physletb.2018.03.021
0370-2693/
© 2018 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by
SCOAP
3
.