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Acharya S, Adamová D, Adler A, Aglieri Rinella G, Agnello M, Agrawal N, Ahammed Z, Ahmad S, Ahn SU, Ahuja I, Akindinov A, Al-Turany M, Aleksandrov D, Alessandro B, Alfanda HM, Alfaro Molina R, Ali B, Ali Y, Alici A, Alizadehvandchali N, Alkin A, Alme J, Alocco G, Alt T, Altsybeev I, Anaam MN, Andrei C, Andronic A, Anguelov V, Antinori F, Antonioli P, Anuj C, Apadula N, Aphecetche L, Appelshäuser H, Arata C, Arcelli S, Aresti M, Arnaldi R, Arsene IC, Arslandok M, Augustinus A, Averbeck R, Azmi MD, Badalà A, Baek YW, Bai X, Bailhache R, Bailung Y, Bala R, Balbino A, Baldisseri A, Balis B, Banerjee D, Banoo Z, Barbera R, Barile F, Barioglio L, Barlou M, Barnaföldi GG, Barnby LS, Barret V, Barreto L, Bartels C, Barth K, Bartsch E, Baruffaldi F, Bastid N, Basu S, Batigne G, Battistini D, Batyunya B, Bauri D, Bazo Alba JL, Bearden IG, Beattie C, Becht P, Behera D, Belikov I, Bell Hechavarria ADC, Bellini F, Bellwied R, Belokurova S, Belyaev V, Bencedi G, Beole S, Bercuci A, Berdnikov Y, Berdnikova A, Bergmann L, Besoiu MG, Betev L, Bhaduri PP, Bhasin A, Bhat MA, Bhattacharjee B, Bianchi L, Bianchi N, Bielčík J, Bielčíková J, Biernat J, Bigot AP, Bilandzic A, Biro G, Biswas S, Bize N, Blair JT, Blau D, Blidaru MB, Bluhme N, Blume C, Boca G, Bock F, Bodova T, Bogdanov A, Boi S, Bok J, Boldizsár L, Bolozdynya A, Bombara M, Bond PM, Bonomi G, Borel H, Borissov A, Bossi H, Botta E, Bouziani YEM, Bratrud L, Braun-Munzinger P, Bregant M, Broz M, Bruno GE, Buckland MD, Budnikov D, Buesching H, Bufalino S, Bugnon O, Buhler P, Buthelezi Z, Butt JB, Bysiak SA, Cai M, Caines H, Caliva A, Calvo Villar E, Camacho JMM, Camerini P, Canedo FDM, Carabas M, Carnesecchi F, Caron R, Castillo Castellanos J, Catalano F, Ceballos Sanchez C, Chakaberia I, Chakraborty P, Chandra S, Chapeland S, Chartier M, Chattopadhyay S, Chattopadhyay S, Chavez TG, Cheng T, Cheshkov C, Cheynis B, Chibante Barroso V, Chinellato DD, Chizzali ES, Cho J, Cho S, Chochula P, Christakoglou P, Christensen CH, Christiansen P, Chujo T, Ciacco M, Cicalo C, Cifarelli L, Cindolo F, Ciupek MR, Clai G, Colamaria F, Colburn JS, Colella D, Colocci M, Concas M, Conesa Balbastre G, Conesa Del Valle Z, Contin G, Contreras JG, Coquet ML, Cormier TM, Cortese P, Cosentino MR, Costa F, Costanza S, Crkovská J, Crochet P, Cruz-Torres R, Cuautle E, Cui P, Cunqueiro L, Dainese A, Danisch MC, Danu A, Das P, Das P, Das S, Dash AR, Dash S, David RMH, De Caro A, de Cataldo G, de Cuveland J, De Falco A, De Gruttola D, De Marco N, De Martin C, De Pasquale S, Deb S, Debski RJ, Deja KR, Del Grande R, Dello Stritto L, Deng W, Dhankher P, Di Bari D, Di Mauro A, Diaz RA, Dietel T, Ding Y, Divià R, Dixit DU, Djuvsland Ø, Dmitrieva U, Dobrin A, Dönigus B, Dubey AK, Dubinski JM, Dubla A, Dudi S, Dupieux P, Durkac M, Dzalaiova N, Eder TM, Ehlers RJ, Eikeland VN, Eisenhut F, Elia D, Erazmus B, Ercolessi F, Erhardt F, Ersdal MR, Espagnon B, Eulisse G, Evans D, Evdokimov S, Fabbietti L, Faggin M, Faivre J, Fan F, Fan W, Fantoni A, Fasel M, Fecchio P, Feliciello A, Feofilov G, Fernández Téllez A, Ferrer MB, Ferrero A, Ferrero C, Ferretti A, Feuillard VJG, Filova V, Finogeev D, Fionda FM, Flor F, Flores AN, Foertsch S, Fokin I, Fokin S, Fragiacomo E, Frajna E, Fuchs U, Funicello N, Furget C, Furs A, Fusayasu T, Gaardhøje JJ, Gagliardi M, Gago AM, Galvan CD, Gangadharan DR, Ganoti P, Garabatos C, Garcia JRA, Garcia-Solis E, Garg K, Gargiulo C, Garibli A, Garner K, Gautam A, Gay Ducati MB, Germain M, Ghosh C, Ghosh SK, Giacalone M, Gianotti P, Giubellino P, Giubilato P, Glaenzer AMC, Glässel P, Glimos E, Goh DJQ, Gonzalez V, González-Trueba LH, Gorgon M, Gotovac S, Grabski V, Graczykowski LK, Grecka E, Grelli A, Grigoras C, Grigoriev V, Grigoryan S, Grosa F, Grosse-Oetringhaus JF, Grosso R, Grund D, Guardiano GG, Guernane R, Guilbaud M, Gulbrandsen K, Gundem T, Gunji T, Guo W, Gupta A, Gupta R, Guzman SP, Gyulai L, Habib MK, Hadjidakis C, Hamagaki H, Hamid M, Han Y, Hannigan R, Haque MR, Harris JW, Harton A, Hassan H, Hatzifotiadou D, Hauer P, Havener LB, Heckel ST, Hellbär E, Helstrup H, Hemmer M, Herman T, Herrera Corral G, Herrmann F, Herrmann S, Hetland KF, Heybeck B, Hillemanns H, Hills C, Hippolyte B, Hofman B, Hohlweger B, Honermann J, Hong GH, Horzyk A, Hosokawa R, Hou Y, Hristov P, Hughes C, Huhn P, Huhta LM, Hulse CV, Humanic TJ, Hushnud H, Hutson A, Hutter D, Iddon JP, Ilkaev R, Ilyas H, Inaba M, Innocenti GM, Ippolitov M, Isakov A, Isidori T, Islam MS, Ivanov M, Ivanov M, Ivanov V, Izucheev V, Jablonski M, Jacak B, Jacazio N, Jacobs PM, Jadlovska S, Jadlovsky J, Jaelani S, Jaffe L, Jahnke C, Jakubowska MJ, Janik MA, Janson T, Jercic M, Jevons O, Jimenez AAP, Jonas F, Jones PG, Jowett JM, Jung J, Jung M, Junique A, Jusko A, Kabus MJ, Kaewjai J, Kalinak P, Kalteyer AS, Kalweit A, Kaplin V, Karasu Uysal A, Karatovic D, Karavichev O, Karavicheva T, Karczmarczyk P, Karpechev E, Kashyap V, Kebschull U, Keidel R, Keijdener DLD, Keil M, Ketzer B, Khan AM, Khan S, Khanzadeev A, Kharlov Y, Khatun A, Khuntia A, Kileng B, Kim B, Kim C, Kim DJ, Kim EJ, Kim J, Kim JS, Kim J, Kim J, Kim M, Kim S, Kim T, Kimura K, Kirsch S, Kisel I, Kiselev S, Kisiel A, Kitowski JP, Klay JL, Klein J, Klein S, Klein-Bösing C, Kleiner M, Klemenz T, Kluge A, Knospe AG, Kobdaj C, Kollegger T, Kondratyev A, Kondratyuk E, Konig J, Konigstorfer SA, Konopka PJ, Kornakov G, Koryciak SD, Kotliarov A, Kovalenko O, Kovalenko V, Kowalski M, Králik I, Kravčáková A, Kreis L, Krivda M, Krizek F, Krizkova Gajdosova K, Kroesen M, Krüger M, Krupova DM, Kryshen E, Kučera V, Kuhn C, Kuijer PG, Kumaoka T, Kumar D, Kumar L, Kumar N, Kumar S, Kundu S, Kurashvili P, Kurepin A, Kurepin AB, Kushpil S, Kvapil J, Kweon MJ, Kwon JY, Kwon Y, La Pointe SL, La Rocca P, Lai YS, Lakrathok A, Lamanna M, Langoy R, Larionov P, Laudi E, Lautner L, Lavicka R, Lazareva T, Lea R, Legras G, Lehrbach J, Lemmon RC, León Monzón I, Lesch MM, Lesser ED, Lettrich M, Lévai P, Li X, Li XL, Lien J, Lietava R, Lim B, Lim SH, Lindenstruth V, Lindner A, Lippmann C, Liu A, Liu DH, Liu J, Lofnes IM, Loizides C, Loncar P, Lopez JA, Lopez X, López Torres E, Lu P, Luhder JR, Lunardon M, Luparello G, Ma YG, Maevskaya A, Mager M, Mahmoud T, Maire A, Malaev M, Malfattore G, Malik NM, Malik QW, Malik SK, Malinina L, Mal'Kevich D, Mallick D, Mallick N, Mandaglio G, Manko V, Manso F, Manzari V, Mao Y, Margagliotti GV, Margotti A, Marín A, Markert C, Martinengo P, Martinez JL, Martínez MI, Martínez García G, Masciocchi S, Masera M, Masoni A, Massacrier L, Mastroserio A, Mathis AM, Matonoha O, Matuoka PFT, Matyja A, Mayer C, Mazuecos AL, Mazzaschi F, Mazzilli M, Mdhluli JE, Mechler AF, Melikyan Y, Menchaca-Rocha A, Meninno E, Menon AS, Meres M, Mhlanga S, Miake Y, Micheletti L, Migliorin LC, Mihaylov DL, Mikhaylov K, Mishra AN, Miśkowiec D, Modak A, Mohanty AP, Mohanty B, Khan MM, Molander MA, Moravcova Z, Mordasini C, Moreira De Godoy DA, Morozov I, Morsch A, Mrnjavac T, Muccifora V, Muhuri S, Mulligan JD, Mulliri A, Munhoz MG, Munzer RH, Murakami H, Murray S, Musa L, Musinsky J, Myrcha JW, Naik B, Nair R, Nambrath AI, Nandi BK, Nania R, Nappi E, Nassirpour AF, Nath A, Nattrass C, Neagu A, Negru A, Nellen L, Nesbo SV, Neskovic G, Nesterov D, Nielsen BS, Nielsen EG, Nikolaev S, Nikulin S, Nikulin V, Noferini F, Noh S, Nomokonov P, Norman J, Novitzky N, Nowakowski P, Nyanin A, Nystrand J, Ogino M, Ohlson A, Okorokov VA, Oleniacz J, Oliveira Da Silva AC, Oliver MH, Onnerstad A, Oppedisano C, Ortiz Velasquez A, Oskarsson A, Otwinowski J, Oya M, Oyama K, Pachmayer Y, Padhan S, Pagano D, Paić G, Palasciano A, Panebianco S, Park H, Park J, Parkkila JE, Patra RN, Paul B, Pei H, Peitzmann T, Peng X, Pennisi M, Pereira LG, Pereira Da Costa H, Peresunko D, Perez GM, Perrin S, Pestov Y, Petráček V, Petrov V, Petrovici M, Pezzi RP, Piano S, Pikna M, Pillot P, Pinazza O, Pinsky L, Pinto C, Pisano S, Płoskoń M, Planinic M, Pliquett F, Poghosyan MG, Politano S, Poljak N, Pop A, Porteboeuf-Houssais S, Porter J, Pozdniakov V, Prasad SK, Prasad S, Preghenella R, Prino F, Pruneau CA, Pshenichnov I, Puccio M, Pucillo S, Pugelova Z, Qiu S, Quaglia L, Quishpe RE, Ragoni S, Rakotozafindrabe A, Ramello L, Rami F, Ramirez SAR, Rancien TA, Raniwala R, Raniwala S, Rasa M, Räsänen SS, Rath R, Ravasenga I, Read KF, Reckziegel C, Redelbach AR, Redlich K, Rehman A, Reidt F, Reme-Ness HA, Rescakova Z, Reygers K, Riabov A, Riabov V, Ricci R, Richert T, Richter M, Riedel AA, Riegler W, Riggi F, Ristea C, Rodríguez Cahuantzi M, Røed K, Rogalev R, Rogochaya E, Rogoschinski TS, Rohr D, Röhrich D, Rojas PF, Rojas Torres S, Rokita PS, Romanenko G, Ronchetti F, Rosano A, Rosas ED, Rossi A, Roy A, Roy P, Roy S, Rubini N, Rueda OV, Ruggiano D, Rui R, Rumyantsev B, Russek PG, Russo R, Rustamov A, Ryabinkin E, Ryabov Y, Rybicki A, Rytkonen H, Rzesa W, Saarimaki OAM, Sadek R, Sadhu S, Sadovsky S, Saetre J, Šafařík K, Saha SK, Saha S, Sahoo B, Sahoo R, Sahoo S, Sahu D, Sahu PK, Saini J, Sajdakova K, Sakai S, Salvan MP, Sambyal S, Saramela TB, Sarkar D, Sarkar N, Sarma P, Sarritzu V, Sarti VM, Sas MHP, Schambach J, Scheid HS, Schiaua C, Schicker R, Schmah A, Schmidt C, Schmidt HR, Schmidt MO, Schmidt M, Schmidt NV, Schmier AR, Schotter R, Schukraft J, Schwarz K, Schweda K, Scioli G, Scomparin E, Seger JE, Sekiguchi Y, Sekihata D, Selyuzhenkov I, Senyukov S, Seo JJ, Serebryakov D, Šerkšnytė L, Sevcenco A, Shaba TJ, Shabetai A, Shahoyan R, Shangaraev A, Sharma A, Sharma D, Sharma H, Sharma M, Sharma N, Sharma S, Sharma S, Sharma U, Shatat A, Sheibani O, Shigaki K, Shimomura M, Shirinkin S, Shou Q, Sibiriak Y, Siddhanta S, Siemiarczuk T, Silva TF, Silvermyr D, Simantathammakul T, Simeonov R, Singh B, Singh B, Singh R, Singh R, Singh R, Singh S, Singh VK, Singhal V, Sinha T, Sitar B, Sitta M, Skaali TB, Skorodumovs G, Slupecki M, Smirnov N, Snellings RJM, Solheim EH, Song J, Songmoolnak A, Soramel F, Sorensen S, Spijkers R, Sputowska I, Staa J, Stachel J, Stan I, Steffanic PJ, Stiefelmaier SF, Stocco D, Storehaug I, Storetvedt MM, Stratmann P, Strazzi S, Stylianidis CP, Suaide AAP, Suire C, Sukhanov M, Suljic M, Sumberia V, Sumowidagdo S, Swain S, Szarka I, Tabassam U, Taghavi SF, Taillepied G, Takahashi J, Tambave GJ, Tang S, Tang Z, Tapia Takaki JD, Tapus N, Tarasovicova LA, Tarzila MG, Tassielli GF, Tauro A, Telesca A, Terlizzi L, Terrevoli C, Tersimonov G, Thakur S, Thomas D, Tikhonov A, Timmins AR, Tkacik M, Tkacik T, Toia A, Tokumoto R, Topilskaya N, Toppi M, Torales-Acosta F, Tork T, Torres Ramos AG, Trifiró A, Triolo AS, Tripathy S, Tripathy T, Trogolo S, Trubnikov V, Trzaska WH, Trzcinski TP, Turrisi R, Tveter TS, Ullaland K, Ulukutlu B, Uras A, Urioni M, Usai GL, Vala M, Valle N, Vallero S, van Doremalen LVR, van Leeuwen M, van Veen CA, van Weelden RJG, Vande Vyvre P, Varga D, Varga Z, Varga-Kofarago M, Vasileiou M, Vasiliev A, Vázquez Doce O, Vechernin V, Vercellin E, Vergara Limón S, Vermunt L, Vértesi R, Verweij M, Vickovic L, Vilakazi Z, Villalobos Baillie O, Vino G, Vinogradov A, Virgili T, Vislavicius V, Vodopyanov A, Volkel B, Völkl MA, Voloshin K, Voloshin SA, Volpe G, von Haller B, Vorobyev I, Vozniuk N, Vrláková J, Wagner B, Wang C, Wang D, Wegrzynek A, Weiglhofer FT, Wenzel SC, Wessels JP, Weyhmiller SL, Wiechula J, Wikne J, Wilk G, Wilkinson J, Willems GA, Windelband B, Winn M, Wright JR, Wu W, Wu Y, Xu R, Yadav A, Yadav AK, Yalcin S, Yamaguchi Y, Yamakawa K, Yang S, Yano S, Yin Z, Yoo IK, Yoon JH, Yuan S, Yuncu A, Zaccolo V, Zampolli C, Zanoli HJC, Zanone F, Zardoshti N, Zarochentsev A, Závada P, Zaviyalov N, Zhalov M, Zhang B, Zhang S, Zhang X, Zhang Y, Zhang Z, Zhao M, Zherebchevskii V, Zhi Y, Zhigareva N, Zhou D, Zhou Y, Zhu J, Zhu Y, Zinovjev G, Zurlo N. Measurements of Groomed-Jet Substructure of Charm Jets Tagged by D^{0} Mesons in Proton-Proton Collisions at sqrt[s]=13 TeV. PHYSICAL REVIEW LETTERS 2023; 131:192301. [PMID: 38000395 DOI: 10.1103/physrevlett.131.192301] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/25/2022] [Revised: 01/13/2023] [Accepted: 07/19/2023] [Indexed: 11/26/2023]
Abstract
Understanding the role of parton mass and Casimir color factors in the quantum chromodynamics parton shower represents an important step in characterizing the emission properties of heavy quarks. Recent experimental advances in jet substructure techniques have provided the opportunity to isolate and characterize gluon emissions from heavy quarks. In this Letter, the first direct experimental constraint on the charm-quark splitting function is presented, obtained via the measurement of the groomed shared momentum fraction of the first splitting in charm jets, tagged by a reconstructed D^{0} meson. The measurement is made in proton-proton collisions at sqrt[s]=13 TeV, in the low jet transverse-momentum interval of 15≤p_{T}^{jet ch}<30 GeV/c where the emission properties are sensitive to parton mass effects. In addition, the opening angle of the first perturbative emission of the charm quark, as well as the number of perturbative emissions it undergoes, is reported. Comparisons to measurements of an inclusive-jet sample show a steeper splitting function for charm quarks compared with gluons and light quarks. Charm quarks also undergo fewer perturbative emissions in the parton shower, with a reduced probability of large-angle emissions.
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Cao Z, Aharonian F, An Q, Axikegu, Bai YX, Bao YW, Bastieri D, Bi XJ, Bi YJ, Cai JT, Cao Q, Cao WY, Cao Z, Chang J, Chang JF, Chen AM, Chen ES, Chen L, Chen L, Chen L, Chen MJ, Chen ML, Chen QH, Chen SH, Chen SZ, Chen TL, Chen Y, Cheng N, Cheng YD, Cui MY, Cui SW, Cui XH, Cui YD, Dai BZ, Dai HL, Dai ZG, Danzengluobu, Della Volpe D, Dong XQ, Duan KK, Fan JH, Fan YZ, Fang J, Fang K, Feng CF, Feng L, Feng SH, Feng XT, Feng YL, Gabici S, Gao B, Gao CD, Gao LQ, Gao Q, Gao W, Gao WK, Ge MM, Geng LS, Giacinti G, Gong GH, Gou QB, Gu MH, Guo FL, Guo XL, Guo YQ, Guo YY, Han YA, He HH, He HN, He JY, He XB, He Y, Heller M, Hor YK, Hou BW, Hou C, Hou X, Hu HB, Hu Q, Hu SC, Huang DH, Huang TQ, Huang WJ, Huang XT, Huang XY, Huang Y, Huang ZC, Ji XL, Jia HY, Jia K, Jiang K, Jiang XW, Jiang ZJ, Jin M, Kang MM, Ke T, Kuleshov D, Kurinov K, Li BB, Li C, Li C, Li D, Li F, Li HB, Li HC, Li HY, Li J, Li J, Li J, Li K, Li WL, Li WL, Li XR, Li X, Li YZ, Li Z, Li Z, Liang EW, Liang YF, Lin SJ, Liu B, Liu C, Liu D, Liu H, Liu HD, Liu J, Liu JL, Liu JY, Liu MY, Liu RY, Liu SM, Liu W, Liu Y, Liu YN, Lu R, Luo Q, Lv HK, Ma BQ, Ma LL, Ma XH, Mao JR, Min Z, Mitthumsiri W, Mu HJ, Nan YC, Neronov A, Ou ZW, Pang BY, Pattarakijwanich P, Pei ZY, Qi MY, Qi YQ, Qiao BQ, Qin JJ, Ruffolo D, Sáiz A, Semikoz D, Shao CY, Shao L, Shchegolev O, Sheng XD, Shu FW, Song HC, Stenkin YV, Stepanov V, Su Y, Sun QN, Sun XN, Sun ZB, Tam PHT, Tang QW, Tang ZB, Tian WW, Wang C, Wang CB, Wang GW, Wang HG, Wang HH, Wang JC, Wang K, Wang LP, Wang LY, Wang PH, Wang R, Wang W, Wang XG, Wang XY, Wang Y, Wang YD, Wang YJ, Wang ZH, Wang ZX, Wang Z, Wang Z, Wei DM, Wei JJ, Wei YJ, Wen T, Wu CY, Wu HR, Wu S, Wu XF, Wu YS, Xi SQ, Xia J, Xia JJ, Xiang GM, Xiao DX, Xiao G, Xin GG, Xin YL, Xing Y, Xiong Z, Xu DL, Xu RF, Xu RX, Xu WL, Xue L, Yan DH, Yan JZ, Yan T, Yang CW, Yang F, Yang FF, Yang HW, Yang JY, Yang LL, Yang MJ, Yang RZ, Yang SB, Yao YH, Yao ZG, Ye YM, Yin LQ, Yin N, You XH, You ZY, Yu YH, Yuan Q, Yue H, Zeng HD, Zeng TX, Zeng W, Zha M, Zhang BB, Zhang F, Zhang HM, Zhang HY, Zhang JL, Zhang LX, Zhang L, Zhang PF, Zhang PP, Zhang R, Zhang SB, Zhang SR, Zhang SS, Zhang X, Zhang XP, Zhang YF, Zhang Y, Zhang Y, Zhao B, Zhao J, Zhao L, Zhao LZ, Zhao SP, Zheng F, Zhou B, Zhou H, Zhou JN, Zhou M, Zhou P, Zhou R, Zhou XX, Zhu CG, Zhu FR, Zhu H, Zhu KJ, Zuo X. Measurement of Ultra-High-Energy Diffuse Gamma-Ray Emission of the Galactic Plane from 10 TeV to 1 PeV with LHAASO-KM2A. PHYSICAL REVIEW LETTERS 2023; 131:151001. [PMID: 37897763 DOI: 10.1103/physrevlett.131.151001] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/04/2023] [Revised: 07/08/2023] [Accepted: 08/18/2023] [Indexed: 10/30/2023]
Abstract
The diffuse Galactic γ-ray emission, mainly produced via interactions between cosmic rays and the interstellar medium and/or radiation field, is a very important probe of the distribution, propagation, and interaction of cosmic rays in the Milky Way. In this Letter, we report the measurements of diffuse γ rays from the Galactic plane between 10 TeV and 1 PeV energies, with the square kilometer array of the Large High Altitude Air Shower Observatory (LHAASO). Diffuse emissions from the inner (15°10 TeV). The energy spectrum in the inner Galaxy regions can be described by a power-law function with an index of -2.99±0.04, which is different from the curved spectrum as expected from hadronic interactions between locally measured cosmic rays and the line-of-sight integrated gas content. Furthermore, the measured flux is higher by a factor of ∼3 than the prediction. A similar spectrum with an index of -2.99±0.07 is found in the outer Galaxy region, and the absolute flux for 10≲E≲60 TeV is again higher than the prediction for hadronic cosmic ray interactions. The latitude distributions of the diffuse emission are consistent with the gas distribution, while the longitude distributions show clear deviation from the gas distribution. The LHAASO measurements imply that either additional emission sources exist or cosmic ray intensities have spatial variations.
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