Physics Letters B 738 (2014) 311–316
Contents lists available at ScienceDirect
Physics Letters B
www.elsevier.com/locate/physletb
Violation of energy–momentum conservation in Mueller–Navelet jets
production
B. Ducloué
a
, L. Szymanowski
b
, S. Wallon
a,c
a
LPT, Université Paris-Sud, CNRS, 91405, Orsay, France
b
National Centre for Nuclear Research (NCBJ), Warsaw, Poland
c
UPMC Univ. Paris 06, Faculté de Physique, 4 place Jussieu, 75252 Paris Cedex 05, France
a r t i c l e i n f o a b s t r a c t
Article history:
Received
24 July 2014
Accepted
10 September 2014
Available
online 23 September 2014
Editor: J.-P.
Blaizot
We study effects related to violation of energy–momentum conservation inherent to the BFKL approach,
in the particular case of Mueller–Navelet jets production. We argue, based on the comparison of the
lowest order non-trivial corrections O(α
3
s
) to the cross section with predictions of an exact calculation,
that the inclusion of next-to-leading order BFKL corrections to the jet production vertex significantly
reduces the importance of these effects.
© 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license
(http://creativecommons.org/licenses/by/3.0/). Funded by SCOAP
3
.
1. Introduction
Many processes have been proposed as a way to probe the
high energy dynamics of QCD, described by the Balitsky–Fadin–
Kuraev–Lipatov
(BFKL) approach [1–4]. A general weakness of
this approach is the fact that it does not respect strict energy–
momentum
conservation. While such kinematic constraints are in
principle subleading in the BFKL approach, numerically their ef-
fect
could be sizable. There have been many attempts to estimate
these effects of energy–momentum non-conservation, for example
in Refs. [5–7].
A
phenomenological way to take these effects into account was
proposed in Ref. [5]. The authors studied dijet production at large
rapidity intervals and compared the results of an exact O(α
3
s
) con-
tribution
with the ones obtained in the leading logarithmic (LL)
BFKL framework. It was found that a LL BFKL calculation strongly
overestimates the cross section with respect to an exact treatment.
One
can avoid this issue by using a numerical method based on
a Monte Carlo event generator, which iterates over the number of
emitted gluons. It is then possible to impose energy–momentum
conservation at each iteration. This approach was followed by the
authors of Ref. [6], where it was confirmed that this effect is sig-
nificant.
In
Ref. [7], it was shown that imposing consistent kinematical
constraint within the leading order BFKL Green’s function can lead
E-mail address: wallon@th.u-psud.fr (S. Wallon).
to corrections equivalent to about 75% of effects generated by the
NLO corrections to the BFKL kernel.
A
point of special interest is to study this violation of energy–
momentum
conservation in the production of forward jets sepa-
rated
by a large interval of rapidity Y at hadron colliders, called
Mueller–Navelet jets [8]. This process was proposed as a promising
observable which permits to reveal effects of BFKL dynamics. The
authors of Ref. [9] followed the proposal of Ref. [5] based on the
introduction of an effective rapidity interval Y
eff
to study energy–
momentum
conservation effects in this process. The outcome of
this work is that taking this effect into account in a LL framework
leads to a much better description of Tevatron data on the az-
imuthal
correlations of these jets. In the same spirit, a study with
LO vertices and NLL Green’s function was performed in Ref. [10].
Recently
we performed a comprehensive study of Mueller–
Navelet
jets production within a full NLL BFKL framework at the
LHC [11,12]. It is natural to expect that after taking into ac-
count
NLL BFKL corrections the effects due to non-conservation of
energy–momentum should be less severe than at LL accuracy. The
aim of the present paper is to quantify the correctness of this ex-
pectation
by extending the method proposed in Ref. [5] beyond the
leading logarithmic accuracy.
The
content of this paper is the following: in Section 2 we sum-
marize
shortly, based on Ref. [5], the problem of non-conservation
of
energy–momentum in the context of Mueller–Navelet jets pro-
duction
at LL accuracy. In Section 3, we show how still staying at
the level of O(α
3
s
), this problem can be mostly cured by including
the NLO corrections to the jet production vertex [13–19].
http://dx.doi.org/10.1016/j.physletb.2014.09.025
0370-2693/
© 2014 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/3.0/). Funded by
SCOAP
3
.
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