Diphoton Excess at 750 Gev: Gluon–Gluon Fusion Or Quark–Antiquark Annihilation?
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Diphoton excess at 750 GeV: gluon–gluon fusion or quark–antiquark annihilation? The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation Gao, Jun, Hao Zhang, and Hua Xing Zhu. “Diphoton Excess at 750 GeV: Gluon–gluon Fusion or Quark–antiquark Annihilation?” The European Physical Journal C 76.6 (2016): n. pag. As Published http://dx.doi.org/10.1140/epjc/s10052-016-4200-z Publisher Springer Berlin Heidelberg Version Final published version Citable link http://hdl.handle.net/1721.1/103629 Terms of Use Creative Commons Attribution Detailed Terms http://creativecommons.org/licenses/by/4.0/ Eur. Phys. J. C (2016) 76:348 DOI 10.1140/epjc/s10052-016-4200-z Regular Article - Theoretical Physics Diphoton excess at 750 GeV: gluon–gluon fusion or quark–antiquark annihilation? Jun Gao1,a, Hao Zhang2,b, Hua Xing Zhu3,c 1 High Energy Physics Division, Argonne National Laboratory, Argonne, IL 60439, USA 2 Department of Physics, University of California, Santa Barbara, Santa Barbara, CA 93106, USA 3 Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, USA Received: 19 May 2016 / Accepted: 10 June 2016 © The Author(s) 2016. This article is published with open access at Springerlink.com Abstract Recently, ATLAS and CMS collaborations 19,26–30,32–34,38,41–45,48–57,59,63,65–69,71,72,75– reported an excess in the measurement of diphoton events, 80,83–87,89,90,93–109,115–128,130–133,136,139–141]. which can be explained by a new resonance with a mass While the models proposed vary significantly, there are some around 750 GeV. In this work, we explored the possibility common features shared by most of them. Due to the quan- of identifying if the hypothetical new resonance is produced tum number of photon pair, most of the proposals suggest through gluon–gluon fusion or quark–antiquark annihilation, that the excess is either due to gluon–gluon fusion or quark– or tagging the beam. Three different observables for beam antiquark annihilation. Different production mechanisms tagging, namely the rapidity and transverse-momentum dis- can lead to very different UV models. Knowing the actual tribution of the diphoton, and one tagged bottom-jet cross production mechanism responsible for the potential excess section, are proposed. Combining the information gained is of great importance for understanding the underlying from these observables, a clear distinction of the production theory. Unfortunately, very little can be said from the current mechanism for the diphoton resonance is promising. data, except some considerations based on the consistency of experimental data from the LHC Run 1 and Run 2. In this work, we shall study the following problem: if 1 Introduction the diphoton excess persists in future data, and the existence of a new resonance is established, is it possible to distin- Very recently, both ATLAS and CMS collaborations pre- guish different production mechanisms with enough amount sented new results from LHC Run 2. Although most of the of data? One can compare this question with the more fre- measurements can still be fit in the Standard Model (SM) quently asked question, namely, how to tell whether an ener- framework nicely, some intriguing excesses are reported. getic hadronic jet in the final state is due to a quark or a Of particular interest is the diphoton excess around 750 gluon produced from hard scattering. This is also known GeV seen by both collaborations. The ATLAS collaboration as the quark and gluon jet tagging problem; see e.g. Refs. reported an excess above the standard model (SM) dipho- [31,91,92,114].1 One can view the question of differentiat- ton background with a local (global) significance of 3.9 (2.3) ing the gg fusion and qq¯ annihilation mechanism as a final- σ [3]. The CMS collaboration, with a little less integrated state-to-initial-state crossing of the quark and gluon jet tag- luminosity, also reported an excess at 760 GeV with a local ging problem. For this reason we will call it the quark and (global) significance of 2.6 (a little less than 1.2) σ [2]. gluon beam tagging problem in this work, or beam tagging Though further data is required to establish the exis- for short. While our current work in the beam tagging prob- tence of a new resonance or other beyond the SM (BSM) lem was motivated by the diphoton excess, we believe that mechanism responsible for the diphoton excess, significant our results will be useful even if the excess disappear after theoretical efforts have been made to explain the possible more data is accumulated, because a bump might eventually diphoton excess in various BSM scenarios [4–9,11–13,15– show up at a different place and/or in a different channel. a e-mail: [email protected] 1 A somewhat related discussion has also been made in the literature b e-mail: [email protected] of the color content of BSM resonance production [14,138], and the c e-mail: [email protected] tagging of initial-state radiation [112]. 123 348 Page 2 of 11 Eur. Phys. J. C (2016) 76:348 An important feature of the beam tagging problem is that There could also be effective operators with a pseudo scalar. most of the QCD radiations from the initial-state partons are But their long distance behavior is in-distinguishable from in the forward direction, and therefore are hard to make use the scalar case. Also the scalar has to couple to photon in of. This is contrasted with final-state jet tagging, in which the order to be able to decay to diphoton. But that is irrelevant information of QCD radiations in the jet play crucial role in to most of our discussion. identifying the partonic origin of the jet. This feature makes Thanks to QCD factorization, the hadronic production the beam tagging problem difficult. Based on the consider- cross section for S can be written as ation of general properties of initial-state QCD radiations, 1 (i) dx (i) σ = τ (τ/ ) ¯ ( ) + ( ↔ ¯) σˆ , we explore different observables which are useful for the 0 fi/N1 x fi/N x i i 0 τ x 2 beam tagging problem. First of all, we consider the rapid- (2) ity distribution of the diphoton system. It is well known from Drell–Yan production that for the qq¯ initial state, contribution τ = 2/ 2 where MS ECM. The operator in Eq. (1) leads to the from valence quark and sea quark can have different shape in following partonic cross section to the scalar production: rapidity distribution. Using this information, we find that it is possible to distinguish the valence-quark scattering from 2 (g) π αs sea-quark or gluon scattering. Second, we consider the trans- σˆ = , 0 ( 2 − ) π 16 Nc 1 3 g verse momentum (QT) distribution of the diphoton system. π v 2 It is well known that the QT distribution of a color neutral σˆ (q) = . 0 (3) system exhibits a Sudakov peak at low QT due to initial-state 2Nc q MS QCD radiation. Interestingly, the strength of initial-state radi- ation differs for quark or gluon induced hard scattering and 2.1 Rapidity distribution leads to substantial difference in the position of the Sudakov peak. Using this information, it is possible to distinguish It is well known that for W and Z boson production in the SM, light-quark scattering from bottom-quark or gluon scatter- contributions from different partonic channels have different ing. Lastly, to further differentiate bottom-quark induced or shapes in rapidity distribution of the boson. Valence-quark gluon induced scattering, we consider tagging a b-quark jet contributions have a double shoulder structure while the sea- in the final state. quark contributions peak in the central region due to differ- The paper is organized as follows: In Sect. 2.1 we study ent slopes of the parton distribution functions (PDFs) with the rapidity distribution of the diphoton system, and pro- respect to Bjorken x. The results are similar for a resonance pose using centrality ratio, defined as ratio of cross section of 750 GeV produced at 13 TeV LHC. One way to quantify in central rapidity region and the total cross section, to dis- the shape of rapidity distribution is to use the centrality ratio, criminate production mechanism due to valence-quark scat- which is defined as ratio of cross sections in central rapidity tering from sea-quark or gluon scattering. In Sect. 2.2 we region |y| < ycut and the total cross sections. In Fig. 1 we study the transverse-momentum distribution of the diphoton show the centrality ratio as a function of ycut for a 750 GeV system, and propose the ratio of cumulative cross section resonance produced through different parton combinations in two different transverse-momentum bins to discriminate at leading order (LO). The hatched bands show the corre- light-quark scattering from bottom-quark or gluon scatter- sponding 68 % confidence level (C.L.) PDF uncertainties ing. In Sect. 2.3, we study b-tagged cross section to further as calculated according to the PDF4LHC recommendation discriminate bottom-quark scattering from gluon scattering. [39], which are small especially for the valence-quark con- We conclude in Sect. 3. tributions. The ratios approach one when ycut approaches the endpoint of the rapidity distribution ∼2.8. As expected the valence-quark contributions have smaller values for the ratio than the ones from gluon or bottom quarks. The ratios are 2 Three methods for the beam tagging problem very close for gluon and bottom-quark or other sea-quark contributions, since the sea-quark PDFs are mostly driven We consider the following effective operators with an addi- by the gluon through DGLAP evolution.