Clockwork as a solution
to the flavour puzzle
Rodrigo Alonso

Beyond the BSM
02/10/2018

The Puzzle…or who ordered ALL of that?

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What are the other two generations for?
CP violation and the Baryon asymmetry of the universe?
SM cannot do BAU alone
and neutrinos can have CPV with 2 generations

The Puzzle⇠<latexit sha1_base64="CSBVuRQ8kaYTiNbN/VdFCwWQn7k=">AAAB63icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0DJgoWUEEwPJEfY2k2TJ7t6xuyeEI3/BxkIRW/+Qnf/GveQKTXww8Hhvhpl5USK4sb7/7ZXW1jc2t8rblZ3dvf2D6uFR28SpZthisYh1J6IGBVfYstwK7CQaqYwEPkaTm9x/fEJteKwe7DTBUNKR4kPOqM2lnuGyX635dX8OskqCgtSgQLNf/eoNYpZKVJYJakw38BMbZlRbzgTOKr3UYELZhI6w66iiEk2YzW+dkTOnDMgw1q6UJXP190RGpTFTGblOSe3YLHu5+J/XTe3wOsy4SlKLii0WDVNBbEzyx8mAa2RWTB2hTHN3K2FjqimzLp6KCyFYfnmVtC/qgV8P7i9rjdsijjKcwCmcQwBX0IA7aEILGIzhGV7hzZPei/fufSxaS14xcwx/4H3+ACEwjkw=</latexit><latexit<latexit sha1_base64="CSBVuRQ8kaYTiNbN/VdFCwWQn7k=">AAAB63icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0DJgoWUEEwPJEfY2k2TJ7t6xuyeEI3/BxkIRW/+Qnf/GveQKTXww8Hhvhpl5USK4sb7/7ZXW1jc2t8rblZ3dvf2D6uFR28SpZthisYh1J6IGBVfYstwK7CQaqYwEPkaTm9x/fEJteKwe7DTBUNKR4kPOqM2lnuGyX635dX8OskqCgtSgQLNf/eoNYpZKVJYJakw38BMbZlRbzgTOKr3UYELZhI6w66iiEk2YzW+dkTOnDMgw1q6UJXP190RGpTFTGblOSe3YLHu5+J/XTe3wOsy4SlKLii0WDVNBbEzyx8mAa2RWTB2hTHN3K2FjqimzLp6KCyFYfnmVtC/qgV8P7i9rjdsijjKcwCmcQwBX0IA7aEILGIzhGV7hzZPei/fufSxaS14xcwx/4H3+ACEwjkw=</latexit><latexit<latexit sha1_base64="MinZSZ5JvsXB/933CgGCPyIuC1k=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCBz22YD+gDWWznbRrN5uwuxFK6C/w4kERr/4kb/4bt20O2vpg4PHeDDPzgkRwbVz32ylsbG5t7xR3S3v7B4dH5eOTto5TxbDFYhGrbkA1Ci6xZbgR2E0U0igQ2Akmt3O/84RK81g+mGmCfkRHkoecUWOlJhuUK27VXYCsEy8nFcjRGJS/+sOYpRFKwwTVuue5ifEzqgxnAmelfqoxoWxCR9izVNIItZ8tDp2RC6sMSRgrW9KQhfp7IqOR1tMosJ0RNWO96s3F/7xeasIbP+MySQ1KtlwUpoKYmMy/JkOukBkxtYQyxe2thI2poszYbEo2BG/15XXSvqp6btVrXlfqd3kcRTiDc7gED2pQh3toQAsYIDzDK7w5j86L8+58LFsLTj5zCn/gfP4Ax+aM7A==</latexit><latexit

u<latexit sha1_base64="Bd0I6ynfM+GnAOdB89dQ1I7+rXI=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeCBz22YD+gDWWznbRrN5uwuxFK6C/w4kERr/4kb/4bt20O2vpg4PHeDDPzgkRwbVz32ylsbG5t7xR3S3v7B4dH5eOTto5TxbDFYhGrbkA1Ci6xZbgR2E0U0igQ2Akmt3O/84RK81g+mGmCfkRHkoecUWOlZjooV9yquwBZJ15OKpCjMSh/9YcxSyOUhgmqdc9zE+NnVBnOBM5K/VRjQtmEjrBnqaQRaj9bHDojF1YZkjBWtqQhC/X3REYjradRYDsjasZ61ZuL/3m91IQ3fsZlkhqUbLkoTAUxMZl/TYZcITNiagllittbCRtTRZmx2ZRsCN7qy+ukfVX13KrXvK7U7/I4inAG53AJHtSgDvfQgBYwQHiGV3hzHp0X5935WLYWnHzmFP7A+fwB4y6M/g==</latexit><latexit<latexit sha1_base64="CSBVuRQ8kaYTiNbN/VdFCwWQn7k=">AAAB63icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0DJgoWUEEwPJEfY2k2TJ7t6xuyeEI3/BxkIRW/+Qnf/GveQKTXww8Hhvhpl5USK4sb7/7ZXW1jc2t8rblZ3dvf2D6uFR28SpZthisYh1J6IGBVfYstwK7CQaqYwEPkaTm9x/fEJteKwe7DTBUNKR4kPOqM2lnuGyX635dX8OskqCgtSgQLNf/eoNYpZKVJYJakw38BMbZlRbzgTOKr3UYELZhI6w66iiEk2YzW+dkTOnDMgw1q6UJXP190RGpTFTGblOSe3YLHu5+J/XTe3wOsy4SlKLii0WDVNBbEzyx8mAa2RWTB2hTHN3K2FjqimzLp6KCyFYfnmVtC/qgV8P7i9rjdsijjKcwCmcQwBX0IA7aEILGIzhGV7hzZPei/fufSxaS14xcwx/4H3+ACEwjkw=</latexit><latexitc<latexit sha1_base64="s5dDmg4ivBrztNliaacmnZJz3+c=">AAAB6HicbVBNS8NAEJ34WetX1aOXYBE8lUQEPRY86LEF+wFtKJvtpF272YTdiVBKf4EXD4p49Sd589+4bXPQ1gcDj/dmmJkXplIY8rxvZ219Y3Nru7BT3N3bPzgsHR03TZJpjg2eyES3Q2ZQCoUNEiSxnWpkcSixFY5uZ37rCbURiXqgcYpBzAZKRIIzslKdeqWyV/HmcFeJn5My5Kj1Sl/dfsKzGBVxyYzp+F5KwYRpElzitNjNDKaMj9gAO5YqFqMJJvNDp+65VfpulGhbity5+ntiwmJjxnFoO2NGQ7PszcT/vE5G0U0wESrNCBVfLIoy6VLizr52+0IjJzm2hHEt7K0uHzLNONlsijYEf/nlVdK8rPhexa9flat3eRwFOIUzuAAfrqEK91CDBnBAeIZXeHMenRfn3flYtK45+cwJ/IHz+QPhqoz9</latexit><latexit⇠t⇠…or why are they all over the place?

Our solutions thus far…or the narrow vision of a human

Localisationin Extra Dimension

Symmetry
Froggatt-Nielsen

Randall-Sundrum[Froggatt & Nielsen NPB147, ’79]
[Anselm & Berezhiani NPB484, ’96]…

Yij ⇠<latexit sha1_base64="hYzgy/jr4ozYdrwqx3XcGmtVdUs=">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</latexit>

✓

h i
⇤

[Randall & Sundrum PRL83, ’99]
[Grossman & Neubert PLB474, ’00]…

◆qi +qj

Yij ⇠ e(mi +mj )L<latexit sha1_base64="cQuPeRhFeSeUyvr/ILnNL5FCHIM=">AAACBHicbVDLSgMxFM34rPU16rKbYBEqYpkRQZcFEVy4qGAf0o5DJk3btElmSDJCGWbhxl9x40IRt36EO//GtJ2Fth64cDjnXu69J4gYVdpxvq2FxaXlldXcWn59Y3Nr297ZraswlpjUcMhC2QyQIowKUtNUM9KMJEE8YKQRDC/GfuOBSEVDcatHEfE46gnapRhpI/l24c5P6CBtK8ohuU+OS9yn8Ij7g8Pr1LeLTtmZAM4TNyNFkKHq21/tTohjToTGDCnVcp1IewmSmmJG0nw7ViRCeIh6pGWoQJwoL5k8kcIDo3RgN5SmhIYT9fdEgrhSIx6YTo50X816Y/E/rxXr7rmXUBHFmgg8XdSNGdQhHCcCO1QSrNnIEIQlNbdC3EcSYW1yy5sQ3NmX50n9pOw6ZffmtFi5zOLIgQLYByXggjNQAVegCmoAg0fwDF7Bm/VkvVjv1se0dcHKZvbAH1ifP1oflz8=</latexit>L<latexit sha1_base64="iaAxy7Erv5q8huglTZwoEjxwUs8=">AAAB6HicbVA9SwNBEJ2LXzF+RS1tFoNgFe5EiGXAxsIiAfMByRH2NnPJmr29Y3dPCEd+gY2FIrb+JDv/jZvkCk18MPB4b4aZeUEiuDau++0UNja3tneKu6W9/YPDo/LxSVvHqWLYYrGIVTegGgWX2DLcCOwmCmkUCOwEk9u533lCpXksH8w0QT+iI8lDzqixUvN+UK64VXcBsk68nFQgR2NQ/uoPY5ZGKA0TVOue5ybGz6gynAmclfqpxoSyCR1hz1JJI9R+tjh0Ri6sMiRhrGxJQxbq74mMRlpPo8B2RtSM9ao3F//zeqkJb/yMyyQ1KNlyUZgKYmIy/5oMuUJmxNQSyhS3txI2pooyY7Mp2RC81ZfXSfuq6rlVr3ldqdfzOIpwBudwCR7UoA530IAWMEB4hld4cx6dF+fd+Vi2Fpx85hT+wPn8AaLvjM4=</latexit><latexit

QL

QNq −1 QNq −2

Q0

φ

H

φ
⊗

⊗

u0

uNu−2 uNu−1 uR
φ

⊗

⊗

φ
⊗

https://raoulma.github.io/research/

The Clockwork mechanism
A nearest neighbor interaction that produces
a zero mode with exponentially small couplings[Choi & Im, JHEP1601, ’16]
[Kaplan & Rattazzi PRD93, ’16]

ScalarsV =<latexit sha1_base64="/CW2S5+D4OjxlrkRb3uoOlWu4Ks=">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</latexit>

U (1) :

⇤
N

3
N

N
1

N 1
1/3

1+

⇤
N

3
1 N

2 + ··· +

N 2
1/32

...
...

j = (f + | j |)eiaj /f0
1/3N<latexit sha1_base64="VyCtr47+s/zV1FxquQJRLAqZ5lg=">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</latexit><latexit sha1_base64="k/P9G66/L3HNhp8iLEp6dyVb69I=">AAACCHicbVDLSsNAFJ3UV62vqEsXDhahItREBN0IRTcuK9gHtDVMppN22skkzEyEkmbpxl9x40IRt36CO//GaZqFth64cOace5l7jxsyKpVlfRu5hcWl5ZX8amFtfWNzy9zeqcsgEpjUcMAC0XSRJIxyUlNUMdIMBUG+y0jDHV5P/MYDEZIG/E6NQtLxUY9Tj2KktOSY++2wT514kFyWvONx+hiMj8h9TJEzOPESxyxaZSsFnCd2RoogQ9Uxv9rdAEc+4QozJGXLtkLViZFQFDOSFNqRJCHCQ9QjLU058onsxOkhCTzUShd6gdDFFUzV3xMx8qUc+a7u9JHqy1lvIv7ntSLlXXRiysNIEY6nH3kRgyqAk1RglwqCFRtpgrCgeleI+0ggrHR2BR2CPXvyPKmflm2rbN+eFStXWRx5sAcOQAnY4BxUwA2oghrA4BE8g1fwZjwZL8a78TFtzRnZzC74A+PzB33xmZ8=</latexit>

The last link of the chain is coupled to an external sector<latexit sha1_base64="ok1Xq8De4YqyNGECd0inXTz8agM=">AAACKHicbVDLSgMxFM3UV62vUZdugkVwVWZU0J0FQV1JBWsLnVoymTttaOZBkhFKmM9x46+4EVGkW7/E9IFo64WQwznncu89fsqZVI4ztAoLi0vLK8XV0tr6xuaWvb1zL5NMUKjThCei6RMJnMVQV0xxaKYCSORzaPj9i5HeeAQhWRLfqUEK7Yh0YxYySpShOva5FwpCtSYdJ891mF95ivEAsPmTieSNh2gBQU5yffxwg8Mc/9g6dtmpOOPC88CdgjKaVq1jv3lBQrMIYkU5kbLlOqlqayIUoxzykpdJSAntky60DIxJBLKtxzvk+MAwAQ4TYV6s8Jj93aFJJOUg8o0zIqonZ7UR+Z/WylR41tYsTjMFMZ0MCjOOVYJHqeGACaCKDwwgVDCzK6Y9YuJRJtuSCcGdPXke3B9VXKfi3p6Uq5fTOIpoD+2jQ+SiU1RF16iG6oiiJ/SC3tGH9Wy9Wp/WcGItWNOeXfSnrK9vUjenTg==</latexit>a0aGG̃ ! N GG̃
f
3 f

⇤ 3
1 0

The Clockwork mechanism
Fermions

N + (N + 1)

[Giudice & McCullough JHEP1702, ’16]

Weyl fermions, so one is massless<latexit sha1_base64="SZK/r+4Ine1RoKH3yjNZC9tNbFM=">AAAB73icbVBNSwMxEJ2tX7V+VT16CRahUii7Iuix6MVTqWA/oF1KNs22odlkTbJCWfonvHhQxKt/x5v/xrTdg7Y+GHi8N8PMvCDmTBvX/XZya+sbm1v57cLO7t7+QfHwqKVloghtEsml6gRYU84EbRpmOO3EiuIo4LQdjG9nfvuJKs2keDCTmPoRHgoWMoKNlTp1VCnXK955v1hyq+4caJV4GSlBhka/+NUbSJJEVBjCsdZdz42Nn2JlGOF0WuglmsaYjPGQdi0VOKLaT+f3TtGZVQYolMqWMGiu/p5IcaT1JApsZ4TNSC97M/E/r5uY8NpPmYgTQwVZLAoTjoxEs+fRgClKDJ9Ygoli9lZERlhhYmxEBRuCt/zyKmldVD236t1flmo3WRx5OIFTKIMHV1CDO2hAEwhweIZXeHMenRfn3flYtOacbOYY/sD5/AGdBo5e</latexit>m0<latexit sha1_base64="Wsx1k2SdSA0kkJjC8BtN/IVDTEw=">AAAB8XicbVBNS8NAEJ3Ur1q/qh69LBbBg5REBD0WvXisYj+wDWWznbRLN5uwuxFK6L/w4kERr/4bb/4bt20O2vpg4PHeDDPzgkRwbVz32ymsrK6tbxQ3S1vbO7t75f2Dpo5TxbDBYhGrdkA1Ci6xYbgR2E4U0igQ2ApGN1O/9YRK81g+mHGCfkQHkoecUWOlx26ieS+7P3MnvXLFrbozkGXi5aQCOeq98le3H7M0QmmYoFp3PDcxfkaV4UzgpNRNNSaUjegAO5ZKGqH2s9nFE3JilT4JY2VLGjJTf09kNNJ6HAW2M6JmqBe9qfif10lNeOVnXCapQcnmi8JUEBOT6fukzxUyI8aWUKa4vZWwIVWUGRtSyYbgLb68TJrnVc+tencXldp1HkcRjuAYTsGDS6jBLdShAQwkPMMrvDnaeXHenY95a8HJZw7hD5zPHyDekIs=</latexit><latexit sha1_base64="eU8Ci1Y/pURL1pAwGegDUXNN6hU=">AAAB7HicbVBNS8NAFHypX7V+VT16WSyCp5KIUI9FLx4rmLbQhrLZbtqlm03YfRFK6G/w4kERr/4gb/4bt20O2jqwMMy8Yd+bMJXCoOt+O6WNza3tnfJuZW//4PCoenzSNkmmGfdZIhPdDanhUijuo0DJu6nmNA4l74STu7nfeeLaiEQ94jTlQUxHSkSCUbSS3x8maAbVmlt3FyDrxCtIDQq0BtUvm2NZzBUySY3peW6KQU41Cib5rNLPDE8pm9AR71mqaMxNkC+WnZELqwxJlGj7FJKF+juR09iYaRzayZji2Kx6c/E/r5dhdBPkQqUZcsWWH0WZJJiQ+eVkKDRnKKeWUKaF3ZWwMdWUoe2nYkvwVk9eJ+2ruufWvYfrWvO2qKMMZ3AOl+BBA5pwDy3wgYGAZ3iFN0c5L86787EcLTlF5hT+wPn8AfFojsI=</latexit>...
<latexit sha1_base64="KgfxpNyxsOhGAqgbVImMiqzenDo=">AAAB+HicbVBNS8NAEJ3Ur1o/GvXoZbEIHqQkIuix6MWDSAX7AU0Im+2mXbrZhN2NUEN/iRcPinj1p3jz37htc9DWBwOP92aYmRemnCntON9WaWV1bX2jvFnZ2t7Zrdp7+22VZJLQFkl4IrshVpQzQVuaaU67qaQ4DjnthKPrqd95pFKxRDzocUr9GA8EixjB2kiBXfVCLJGXKhbkt6d3k8CuOXVnBrRM3ILUoEAzsL+8fkKymApNOFaq5zqp9nMsNSOcTipepmiKyQgPaM9QgWOq/Hx2+AQdG6WPokSaEhrN1N8TOY6VGseh6YyxHqpFbyr+5/UyHV36ORNppqkg80VRxpFO0DQF1GeSEs3HhmAimbkVkSGWmGiTVcWE4C6+vEzaZ3XXqbv357XGVRFHGQ7hCE7AhQtowA00oQUEMniGV3iznqwX6936mLeWrGLmAP7A+vwBGxWStw==</latexit>

¯L,N

R,j

q ¯L,j

...

R,0

q
B0
B
M =mB .
@ ..
<latexit sha1_base64="jKZPRBGWlGkUnkYgxEF1LFzOfFk=">AAAB9XicbVA9SwNBEJ3zM8avqKXNYhAsJNyJoGXQxsIigvmAXAxzm71kyd7esbunhCP/w8ZCEVv/i53/xk1yhSY+GHi8N8PMvCARXBvX/XaWlldW19YLG8XNre2d3dLefkPHqaKsTmMRq1aAmgkuWd1wI1grUQyjQLBmMLye+M1HpjSP5b0ZJawTYV/ykFM0VnrwA1R+onk3uz31xt1S2a24U5BF4uWkDDlq3dKX34tpGjFpqECt256bmE6GynAq2Ljop5olSIfYZ21LJUZMd7Lp1WNybJUeCWNlSxoyVX9PZBhpPYoC2xmhGeh5byL+57VTE152Mi6T1DBJZ4vCVBATk0kEpMcVo0aMLEGquL2V0AEqpMYGVbQhePMvL5LGWcVzK97debl6lcdRgEM4ghPw4AKqcAM1qAMFBc/wCm/Ok/PivDsfs9YlJ585gD9wPn8AHvGSPw==</latexit>

¯L,j

R,j 1

j=1

<latexit sha1_base64="6U2AtTKbFZ//d7+cp3UXe/ocLzk=">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</latexit>

¯L,1

N
X

0

<latexit sha1_base64="eU8Ci1Y/pURL1pAwGegDUXNN6hU=">AAAB7HicbVBNS8NAFHypX7V+VT16WSyCp5KIUI9FLx4rmLbQhrLZbtqlm03YfRFK6G/w4kERr/4gb/4bt20O2jqwMMy8Yd+bMJXCoOt+O6WNza3tnfJuZW//4PCoenzSNkmmGfdZIhPdDanhUijuo0DJu6nmNA4l74STu7nfeeLaiEQ94jTlQUxHSkSCUbSS3x8maAbVmlt3FyDrxCtIDQq0BtUvm2NZzBUySY3peW6KQU41Cib5rNLPDE8pm9AR71mqaMxNkC+WnZELqwxJlGj7FJKF+juR09iYaRzayZji2Kx6c/E/r5dhdBPkQqUZcsWWH0WZJJiQ+eVkKDRnKKeWUKaF3ZWwMdWUoe2nYkvwVk9eJ+2ruufWvYfrWvO2qKMMZ3AOl+BBA5pwDy3wgYGAZ3iFN0c5L86787EcLTlF5hT+wPn8AfFojsI=</latexit><latexit sha1_base64="hsSsglY69otEMXN6gMGzKWMnl/g=">AAAB8XicbVBNS8NAEJ34WetX1aOXxSJ4kJKIoMeiF09SxX5gG8pmu2mXbjZhdyKU0H/hxYMiXv033vw3btsctPXBwOO9GWbmBYkUBl3321laXlldWy9sFDe3tnd2S3v7DROnmvE6i2WsWwE1XArF6yhQ8laiOY0CyZvB8HriN5+4NiJWDzhKuB/RvhKhYBSt9NhJjOhm96e3426p7FbcKcgi8XJShhy1bumr04tZGnGFTFJj2p6boJ9RjYJJPi52UsMTyoa0z9uWKhpx42fTi8fk2Co9EsbalkIyVX9PZDQyZhQFtjOiODDz3kT8z2unGF76mVBJilyx2aIwlQRjMnmf9ITmDOXIEsq0sLcSNqCaMrQhFW0I3vzLi6RxVvHcind3Xq5e5XEU4BCO4AQ8uIAq3EAN6sBAwTO8wptjnBfn3fmYtS45+cwB/IHz+QNOdJCp</latexit>

1
q
..
.

0
1
..
.

...
...
..
.

···

0

q

R,N

1
0
0C
C
C,
0A
1

Zero modeq>>1

R '<latexit sha1_base64="vSUiRWzF13rurT0clcrW5CZWVxo=">AAACF3icbVC7TsMwFHV4lvIKMLJYVEgMUCUICcYKFiZUKvqQmhI5rtO6tZPUdpCqKH/Bwq+wMIAQK2z8DW6aAVqOZOnonHN1fY8XMSqVZX0bC4tLyyurhbXi+sbm1ra5s9uQYSwwqeOQhaLlIUkYDUhdUcVIKxIEcY+Rpje8mvjNByIkDYM7NY5Ih6NeQH2KkdKSa5adSFK35kjKyQg6MubuwPEFwomdJqP75OZkkKZZJqkdD1LXLFllKwOcJ3ZOSiBH1TW/nG6IY04ChRmSsm1bkeokSCiKGUmLTixJhPAQ9Uhb0wBxIjtJdlcKD7XShX4o9AsUzNTfEwniUo65p5Mcqb6c9Sbif147Vv5FJ6FBFCsS4OkiP2ZQhXBSEuxSQbBiY00QFlT/FeI+0q0oXWVRl2DPnjxPGqdl2yrbt2elymVeRwHsgwNwBGxwDirgGlRBHWDwCJ7BK3gznowX4934mEYXjHxmD/yB8fkDN/igkQ==</latexit>

X
j

1
qN

j

R,j

Clockworked flavour
(i)
(i)
(i)
QL,k , uR,k , dR,kH<latexit sha1_base64="2R9awBq2ezeD+l87UBNTfHzcUEg=">AAACHHicbZDLSsNAFIYn9VbrLerSzWARKoSSqKDLghsXLlqxF2himEwm7dDJhZmJUEIexI2v4saFIm5cCL6N0zaL2vrDwM93zuHM+b2EUSFN80crrayurW+UNytb2zu7e/r+QUfEKcekjWMW856HBGE0Im1JJSO9hBMUeox0vdH1pN59JFzQOLqX44Q4IRpENKAYSYVc/bzlZrfGKH/IavQ0tw3DNmDqZncLyJ9Hrl416+ZUcNlYhamCQk1X/7L9GKchiSRmSIi+ZSbSyRCXFDOSV+xUkAThERqQvrIRColwsulxOTxRxIdBzNWLJJzS+YkMhUKMQ091hkgOxWJtAv+r9VMZXDkZjZJUkgjPFgUpgzKGk6SgTznBko2VQZhT9VeIh4gjLFWeFRWCtXjysumc1S2zbrUuqo1GEUcZHIFjUAMWuAQNcAOaoA0weAIv4A28a8/aq/ahfc5aS1oxcwj+SPv+BQYdn3M=</latexit><latexit sha1_base64="7pYpRvgr/F/tvxkWcwURBIko3xo=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeClx5bsB/QhrLZTtq1m03Y3Qgl9Bd48aCIV3+SN/+N2zYHbX0w8Hhvhpl5QSK4Nq777RS2tnd294r7pYPDo+OT8ulZR8epYthmsYhVL6AaBZfYNtwI7CUKaRQI7AbT+4XffUKleSwfzCxBP6JjyUPOqLFSqzEsV9yquwTZJF5OKpCjOSx/DUYxSyOUhgmqdd9zE+NnVBnOBM5Lg1RjQtmUjrFvqaQRaj9bHjonV1YZkTBWtqQhS/X3REYjrWdRYDsjaiZ63VuI/3n91IR3fsZlkhqUbLUoTAUxMVl8TUZcITNiZgllittbCZtQRZmx2ZRsCN76y5ukc1P13KrXuq3U63kcRbiAS7gGD2pQhwY0oQ0MEJ7hFd6cR+fFeXc+Vq0FJ585hz9wPn8AnN+Myg==</latexit><latexit

k=0<latexit sha1_base64="1/UqG5vzyzqDfyzDjvI/tgLVzSM=">AAAB6nicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqBel4MVjRfsBbSib7aZdutmE3YlQQn+CFw+KePUXefPfuG1z0NYHA4/3ZpiZFyRSGHTdb6ewtr6xuVXcLu3s7u0flA+PWiZONeNNFstYdwJquBSKN1Gg5J1EcxoFkreD8e3Mbz9xbUSsHnGScD+iQyVCwSha6WF87fbLFbfqzkFWiZeTCuRo9MtfvUHM0ogrZJIa0/XcBP2MahRM8mmplxqeUDamQ961VNGIGz+bnzolZ1YZkDDWthSSufp7IqORMZMosJ0RxZFZ9mbif143xfDKz4RKUuSKLRaFqSQYk9nfZCA0ZygnllCmhb2VsBHVlKFNp2RD8JZfXiWti6rnVr37y0r9Jo+jCCdwCufgQQ3qcAcNaAKDITzDK7w50nlx3p2PRWvByWeO4Q+czx/BcY1s</latexit>

(i)
(j)
0
YD ij Q̄L,0 H dR,0 +<latexit sha1_base64="ESFYCIS3MTlMMbBLNCmyresR6dU=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBi8cWTFtoQ9lsJ+3azSbsboQS+gu8eFDEqz/Jm//GbZuDtj4YeLw3w8y8MBVcG9f9dkobm1vbO+Xdyt7+weFR9fikrZNMMfRZIhLVDalGwSX6hhuB3VQhjUOBnXByN/c7T6g0T+SDmaYYxHQkecQZNVZquYNqza27C5B14hWkBgWag+pXf5iwLEZpmKBa9zw3NUFOleFM4KzSzzSmlE3oCHuWShqjDvLFoTNyYZUhiRJlSxqyUH9P5DTWehqHtjOmZqxXvbn4n9fLTHQb5FymmUHJlouiTBCTkPnXZMgVMiOmllCmuL2VsDFVlBmbTcWG4K2+vE7aV3XPrXut61qjUcRRhjM4h0vw4AYacA9N8IEBwjO8wpvz6Lw4787HsrXkFDOn8AfO5w94f4yy</latexit><latexit<latexit sha1_base64="LqIEDzfkbUE6mLRqRxLyyGXdsUI=">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</latexit>

We turn to themass basis(i)
QL,0 =<latexit sha1_base64="LW8LMue5rFBY7mXhJJrW8nqwiw0=">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</latexit>

Yij = q<latexit sha1_base64="R00k5X3pN3vL9K7Ad6Xg4ohlREM=">AAACE3icbZDLSsNAFIYn9VbrLerSzWARqmBJRNCNUBDElbRgL9KmYTKdttNOJnFmIpSQd3Djq7hxoYhbN+58G6dtFtr6w8DPd87hzPm9kFGpLOvbyCwsLi2vZFdza+sbm1vm9k5NBpHApIoDFoiGhyRhlJOqooqRRigI8j1G6t7wclyvPxAhacBv1Sgkjo96nHYpRkoj1zy6c2M6SC7gfTs+vnHjSoEeJskUtq0URoWBhq6Zt4rWRHDe2KnJg1Rl1/xqdQIc+YQrzJCUTdsKlRMjoShmJMm1IklChIeoR5racuQT6cSTmxJ4oEkHdgOhH1dwQn9PxMiXcuR7utNHqi9na2P4X60Zqe65E1MeRopwPF3UjRhUARwHBDtUEKzYSBuEBdV/hbiPBMJKx5jTIdizJ8+b2knRtop25TRfukrjyII9sA8KwAZnoASuQRlUAQaP4Bm8gjfjyXgx3o2PaWvGSGd2wR8Znz8hvZ2x</latexit>

NQ(i)

1

q

(i)
(j)
0
YU ij Q̄L,0 H̃uR,0<latexit sha1_base64="ESFYCIS3MTlMMbBLNCmyresR6dU=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lE0GPBi8cWTFtoQ9lsJ+3azSbsboQS+gu8eFDEqz/Jm//GbZuDtj4YeLw3w8y8MBVcG9f9dkobm1vbO+Xdyt7+weFR9fikrZNMMfRZIhLVDalGwSX6hhuB3VQhjUOBnXByN/c7T6g0T+SDmaYYxHQkecQZNVZquYNqza27C5B14hWkBgWag+pXf5iwLEZpmKBa9zw3NUFOleFM4KzSzzSmlE3oCHuWShqjDvLFoTNyYZUhiRJlSxqyUH9P5DTWehqHtjOmZqxXvbn4n9fLTHQb5FymmUHJlouiTBCTkPnXZMgVMiOmllCmuL2VsDFVlBmbTcWG4K2+vE7aV3XPrXut61qjUcRRhjM4h0vw4AYacA9N8IEBwjO8wpvz6Lw4787HsrXkFDOn8AfO5w94f4yy</latexit><latexit

(i)
k
0 (i)
Q + fQ(i) (Q )L,k
NQ(i) L

0
Nu(j)
Yij q

Same for u, d

The zero modes havesuppressed Yukawas!
[RA, Carmona, Camalich, Dillon, Kamenik, Zupan ’18]

Clockworked flavour
Fermions

Yij = q<latexit sha1_base64="R00k5X3pN3vL9K7Ad6Xg4ohlREM=">AAACE3icbZDLSsNAFIYn9VbrLerSzWARqmBJRNCNUBDElbRgL9KmYTKdttNOJnFmIpSQd3Djq7hxoYhbN+58G6dtFtr6w8DPd87hzPm9kFGpLOvbyCwsLi2vZFdza+sbm1vm9k5NBpHApIoDFoiGhyRhlJOqooqRRigI8j1G6t7wclyvPxAhacBv1Sgkjo96nHYpRkoj1zy6c2M6SC7gfTs+vnHjSoEeJskUtq0URoWBhq6Zt4rWRHDe2KnJg1Rl1/xqdQIc+YQrzJCUTdsKlRMjoShmJMm1IklChIeoR5racuQT6cSTmxJ4oEkHdgOhH1dwQn9PxMiXcuR7utNHqi9na2P4X60Zqe65E1MeRopwPF3UjRhUARwHBDtUEKzYSBuEBdV/hbiPBMJKx5jTIdizJ8+b2knRtop25TRfukrjyII9sA8KwAZnoASuQRlUAQaP4Bm8gjfjyXgx3o2PaWvGSGd2wR8Znz8hvZ2x</latexit>

NQ(i)

0
Nu(j)
Yij q

This hierarchical structure sets masses and mixings as familiar from RS

q NQ(j)(VCKM )ij ⇠ N,
q Q(i)

i < j;<latexit sha1_base64="yLEoK4NLRP07hmuvi8ihMqLJuNM=">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</latexit>mi ⇠ v q NQ(i) Nu(i)q ⇠ 1/ ⇠ 5<latexit sha1_base64="hhraTd7qW6/ZtvCDOz+3w0fdUcI=">AAAB/XicbVC7TsMwFL0pr1Je4bGxWFRITCVBIBgrsTAWiT6kNqocx2mtOk6wHaQSVfwKCwMIsfIfbPwNTpsBWo5k6fice+Tr4yecKe0431ZpaXllda28XtnY3NresXf3WipOJaFNEvNYdnysKGeCNjXTnHYSSXHkc9r2R9e5336gUrFY3OlxQr0IDwQLGcHaSH374L6nWOSe9rjJBDi/oIu+XXVqzhRokbgFqUKBRt/+6gUxSSMqNOFYqa7rJNrLsNSMcDqp9FJFE0xGeEC7hgocUeVl0+0n6NgoAQpjaY7QaKr+TmQ4Umoc+WYywnqo5r1c/M/rpjq88jImklRTQWYPhSlHOkZ5FShgkhLNx4ZgIpnZFZEhlphoU1jFlODOf3mRtM5qrlNzb8+r9XpRRxkO4QhOwIVLqMMNNKAJBB7hGV7hzXqyXqx362M2WrKKzD78gfX5A45LlJ4=</latexit>

So the natural choice of length for chains is:
Up type

Down typeFlavour phenomenology
The Flavour Gears
SM<latexit sha1_base64="Lu7Q99qyqVCOLztBPMJ7PQ446WE=">AAAB73icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0DJgYyNENDGQHGFvM0mW7O6du3tCOPInbCwUsfXv2Plv3CRXaOKDgcd7M8zMixLBjfX9b6+wsrq2vlHcLG1t7+zulfcPmiZONcMGi0WsWxE1KLjChuVWYCvRSGUk8CEaXU39hyfUhsfq3o4TDCUdKN7njFontbKOluTuZtItV/yqPwNZJkFOKpCj3i1/dXoxSyUqywQ1ph34iQ0zqi1nAielTmowoWxEB9h2VFGJJsxm907IiVN6pB9rV8qSmfp7IqPSmLGMXKekdmgWvan4n9dObf8yzLhKUouKzRf1U0FsTKbPkx7XyKwYO0KZ5u5WwoZUU2ZdRCUXQrD48jJpnlUDvxrcnldqtTyOIhzBMZxCABdQg2uoQwMYCHiGV3jzHr0X7937mLcWvHzmEP7A+/wBtYKPuw==</latexit>

(i)
(j)
0
NQ(i)
k
+ YU ij Q̄L q
H̃fu(j) uR,k<latexit sha1_base64="l0FF2hKA99cY3cW1cRNo5hf7lIQ=">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</latexit>(i) k0
Nu(j) (j)+ YU ij Q̄L,k fQ(i) H̃quR

SM<latexit sha1_base64="Lu7Q99qyqVCOLztBPMJ7PQ446WE=">AAAB73icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0DJgYyNENDGQHGFvM0mW7O6du3tCOPInbCwUsfXv2Plv3CRXaOKDgcd7M8zMixLBjfX9b6+wsrq2vlHcLG1t7+zulfcPmiZONcMGi0WsWxE1KLjChuVWYCvRSGUk8CEaXU39hyfUhsfq3o4TDCUdKN7njFontbKOluTuZtItV/yqPwNZJkFOKpCj3i1/dXoxSyUqywQ1ph34iQ0zqi1nAielTmowoWxEB9h2VFGJJsxm907IiVN6pB9rV8qSmfp7IqPSmLGMXKekdmgWvan4n9dObf8yzLhKUouKzRf1U0FsTKbPkx7XyKwYO0KZ5u5WwoZUU2ZdRCUXQrD48jJpnlUDvxrcnldqtTyOIhzBMZxCABdQg2uoQwMYCHiGV3jzHr0X7937mLcWvHzmEP7A+/wBtYKPuw==</latexit><latexit sha1_base64="eSQhLqoxv3iIC1JLbIsgyUcVahM=">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</latexit>

Flavour protection

SM

q N

<latexit sha1_base64="Lu7Q99qyqVCOLztBPMJ7PQ446WE=">AAAB73icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0DJgYyNENDGQHGFvM0mW7O6du3tCOPInbCwUsfXv2Plv3CRXaOKDgcd7M8zMixLBjfX9b6+wsrq2vlHcLG1t7+zulfcPmiZONcMGi0WsWxE1KLjChuVWYCvRSGUk8CEaXU39hyfUhsfq3o4TDCUdKN7njFontbKOluTuZtItV/yqPwNZJkFOKpCj3i1/dXoxSyUqywQ1ph34iQ0zqi1nAielTmowoWxEB9h2VFGJJsxm907IiVN6pB9rV8qSmfp7IqPSmLGMXKekdmgWvan4n9dObf8yzLhKUouKzRf1U0FsTKbPkx7XyKwYO0KZ5u5WwoZUU2ZdRCUXQrD48jJpnlUDvxrcnldqtTyOIhzBMZxCABdQg2uoQwMYCHiGV3jzHr0X7937mLcWvHzmEP7A+/wBtYKPuw==</latexit>M<latexit sha1_base64="3fBks0Vp6AIwLDWK+BILa42u/h4=">AAAB7XicbVBNSwMxEJ3Ur1q/qh69BIvgxbIrgh4LXjxJBfsB7VqyabaNzSZrkhXK0v/gxYMiXv0/3vw3pu0etPpg4PHeDDPzwkRwYz3vCxWWlldW14rrpY3Nre2d8u5e06hUU9agSijdDolhgkvWsNwK1k40I3EoWCscXU791iPThit5a8cJC2IykDzilFgnNR/uspPrSa9c8areDPgv8XNSgRz1Xvmz21c0jZm0VBBjOr6X2CAj2nIq2KTUTQ1LCB2RAes4KknMTJDNrp3gI6f0caS0K2nxTP05kZHYmHEcus6Y2KFZ9Kbif14ntdFFkHGZpJZJOl8UpQJbhaev4z7XjFoxdoRQzd2tmA6JJtS6gEouBH/x5b+keVr1vap/c1ap1fI4inAAh3AMPpxDDa6gDg2gcA9P8AKvSKFn9Ibe560FlM/swy+gj29aUY72</latexit><latexit sha1_base64="5cMWx9me7i1QgqaYAxUErOZB2eE=">AAACIHicbVBLSwMxGMz6rOtr1aOXYBE8SNktQj0W9eBFqGAf0F2WbJptQ5PsmmSFsvSnePGvePGgiN7015g+BG07ITDMzEfyTZQyqrTrfllLyyura+uFDXtza3tn19nbb6gkk5jUccIS2YqQIowKUtdUM9JKJUE8YqQZ9S9HfvOBSEUTcacHKQk46goaU4y0kUKnchPm/unvGUJfUQ7vOfR9278iTCO4KFDmoVN0S+4YcJ54U1IEU9RC59PvJDjjRGjMkFJtz011kCOpKWZkaPuZIinCfdQlbUMF4kQF+XjBITw2SgfGiTRXaDhW/07kiCs14JFJcqR7atYbiYu8dqbj8yCnIs00EXjyUJwxqBM4agt2qCRYs4EhCEtq/gpxD0mEtenUNiV4syvPk0a55Lkl7/asWL2Y1lEAh+AInAAPVEAVXIMaqAMMHsEzeAVv1pP1Yr1bH5PokjWdOQD/YH3/AFF9n/g=</latexit>

H<latexit sha1_base64="7pYpRvgr/F/tvxkWcwURBIko3xo=">AAAB6HicbVBNS8NAEJ3Ur1q/qh69LBbBU0lEqMeClx5bsB/QhrLZTtq1m03Y3Qgl9Bd48aCIV3+SN/+N2zYHbX0w8Hhvhpl5QSK4Nq777RS2tnd294r7pYPDo+OT8ulZR8epYthmsYhVL6AaBZfYNtwI7CUKaRQI7AbT+4XffUKleSwfzCxBP6JjyUPOqLFSqzEsV9yquwTZJF5OKpCjOSx/DUYxSyOUhgmqdd9zE+NnVBnOBM5Lg1RjQtmUjrFvqaQRaj9bHjonV1YZkTBWtqQhS/X3REYjrWdRYDsjaiZ63VuI/3n91IR3fsZlkhqUbLUoTAUxMVl8TUZcITNiZgllittbCZtQRZmx2ZRsCN76y5ukc1P13KrXuq3U63kcRbiAS7gGD2pQhwY0oQ0MEJ7hFd6cR+fFeXc+Vq0FJ585hz9wPn8AnN+Myg==</latexit><latexit

M

⇠ qm

⇠ 2m

Flavour phenomenology
Low lying resonances

Qualitative understanding:dR,k<latexit sha1_base64="zKxTaIkGbKE8RjcR9Hi1GMf/3ug=">AAAB7nicbVBNS8NAEJ3Ur1q/qh69LBbBg5REBD0WvHisYj+gDWWzmbRLN5uwuxFK6I/w4kERr/4eb/4bt20O2vpg4PHeDDPzglRwbVz32ymtrW9sbpW3Kzu7e/sH1cOjtk4yxbDFEpGobkA1Ci6xZbgR2E0V0jgQ2AnGtzO/84RK80Q+mkmKfkyHkkecUWOlTjjIHy7G00G15tbdOcgq8QpSgwLNQfWrHyYsi1EaJqjWPc9NjZ9TZTgTOK30M40pZWM6xJ6lksao/Xx+7pScWSUkUaJsSUPm6u+JnMZaT+LAdsbUjPSyNxP/83qZiW78nMs0MyjZYlGUCWISMvudhFwhM2JiCWWK21sJG1FFmbEJVWwI3vLLq6R9Wffcund/VWs0ijjKcAKncA4eXEMD7qAJLWAwhmd4hTcndV6cd+dj0Vpyiplj+APn8wcV6I9i</latexit>

4TeV<latexit sha1_base64="C21np8UgDwSoxYVNTAPErtYs9VY=">AAAB8XicbVBNS8NAEJ3Ur1q/qh69LBbBU0mkqMeCF48V+oVtKJvtpF262YTdjVBC/4UXD4p49d9489+4bXPQ1gcDj/dmmJkXJIJr47rfTmFjc2t7p7hb2ts/ODwqH5+0dZwqhi0Wi1h1A6pRcIktw43AbqKQRoHATjC5m/udJ1Sax7Jppgn6ER1JHnJGjZUea1lfRaSJ7dmgXHGr7gJknXg5qUCOxqD81R/GLI1QGiao1j3PTYyfUWU4Ezgr9VONCWUTOsKepZJGqP1scfGMXFhlSMJY2ZKGLNTfExmNtJ5Gge2MqBnrVW8u/uf1UhPe+hmXSWpQsuWiMBXExGT+PhlyhcyIqSWUKW5vJWxMFWXGhlSyIXirL6+T9lXVc6veQ61Sv87jKMIZnMMleHADdbiHBrSAgYRneIU3RzsvzrvzsWwtOPnMKfyB8/kD+FSQaA==</latexit>uR,k<latexit sha1_base64="MUpwQICN1Co2Bn5cMnf/WJZmMYY=">AAAB7nicbVBNS8NAEJ3Ur1q/qh69LBbBg5REBD0WvHisYj+gDWWz3bRLNpuwOxFK6I/w4kERr/4eb/4bt20O2vpg4PHeDDPzglQKg6777ZTW1jc2t8rblZ3dvf2D6uFR2ySZZrzFEpnobkANl0LxFgqUvJtqTuNA8k4Q3c78zhPXRiTqEScp92M6UiIUjKKVOtkgf7iIpoNqza27c5BV4hWkBgWag+pXf5iwLOYKmaTG9Dw3RT+nGgWTfFrpZ4anlEV0xHuWKhpz4+fzc6fkzCpDEibalkIyV39P5DQ2ZhIHtjOmODbL3kz8z+tlGN74uVBphlyxxaIwkwQTMvudDIXmDOXEEsq0sLcSNqaaMrQJVWwI3vLLq6R9Wffcund/VWs0ijjKcAKncA4eXEMD7qAJLWAQwTO8wpuTOi/Ou/OxaC05xcwx/IHz+QMwEo9z</latexit><latexit sha1_base64="sOizELSJQrCfgL6Lilfu5Md/SeA=">AAAB83icbVBNS8NAEJ3Ur1q/qh69LBbBU0jEr2PBi8cK/YImlM122i7dbMLuRiihf8OLB0W8+me8+W/ctjlo9cHA470ZZuZFqeDaeN6XU1pb39jcKm9Xdnb39g+qh0dtnWSKYYslIlHdiGoUXGLLcCOwmyqkcSSwE03u5n7nEZXmiWyaaYphTEeSDzmjxkqB517lgYpJE9uzfrXmud4C5C/xC1KDAo1+9TMYJCyLURomqNY930tNmFNlOBM4qwSZxpSyCR1hz1JJY9Rhvrh5Rs6sMiDDRNmShizUnxM5jbWexpHtjKkZ61VvLv7n9TIzvA1zLtPMoGTLRcNMEJOQeQBkwBUyI6aWUKa4vZWwMVWUGRtTxYbgr778l7QvXN9z/YfLWv26iKMMJ3AK5+DDDdThHhrQAgYpPMELvDqZ8+y8Oe/L1pJTzBzDLzgf39YykNs=</latexit>

0.5TeVMediate d-type FCNC
suppressed by q NQ
<latexit sha1_base64="kCfDBfuNcle1gSjXTWJySgnwz5U=">AAAB73icbVA9SwNBEJ3zM8avqKXNYhBsDHciaGERsLGSBMwHJDHsbeaSJXt7l909IRz5EzYWitj6d+z8N26SKzTxwcDjvRlm5vmx4Nq47rezsrq2vrGZ28pv7+zu7RcODus6ShTDGotEpJo+1Si4xJrhRmAzVkhDX2DDH95O/cYTKs0j+WDGMXZC2pc84IwaKzVHj+n5fbc66RaKbsmdgSwTLyNFyFDpFr7avYglIUrDBNW65bmx6aRUGc4ETvLtRGNM2ZD2sWWppCHqTjq7d0JOrdIjQaRsSUNm6u+JlIZaj0PfdobUDPSiNxX/81qJCa47KZdxYlCy+aIgEcREZPo86XGFzIixJZQpbm8lbEAVZcZGlLcheIsvL5P6RclzS171sli+yeLIwTGcwBl4cAVluIMK1ICBgGd4hTdn5Lw4787HvHXFyWaO4A+czx+yY4+2</latexit>

Mediate u-type FCNC
suppressed by q NQ
<latexit sha1_base64="kCfDBfuNcle1gSjXTWJySgnwz5U=">AAAB73icbVA9SwNBEJ3zM8avqKXNYhBsDHciaGERsLGSBMwHJDHsbeaSJXt7l909IRz5EzYWitj6d+z8N26SKzTxwcDjvRlm5vmx4Nq47rezsrq2vrGZ28pv7+zu7RcODus6ShTDGotEpJo+1Si4xJrhRmAzVkhDX2DDH95O/cYTKs0j+WDGMXZC2pc84IwaKzVHj+n5fbc66RaKbsmdgSwTLyNFyFDpFr7avYglIUrDBNW65bmx6aRUGc4ETvLtRGNM2ZD2sWWppCHqTjq7d0JOrdIjQaRsSUNm6u+JlIZaj0PfdobUDPSiNxX/81qJCa47KZdxYlCy+aIgEcREZPo86XGFzIixJZQpbm8lbEAVZcZGlLcheIsvL5P6RclzS171sli+yeLIwTGcwBl4cAVluIMK1ICBgGd4hTdn5Lw4787HvHXFyWaO4A+czx+yY4+2</latexit>

QL,k Mediate u,d-type FCNC
<latexit sha1_base64="OOU32yq6LKIw4mjMghRSERYEDVM=">AAAB7nicbVBNS8NAEJ34WetX1aOXxSJ4kJKIoMeCFw8eWrAf0Iay2U7aJZtN2N0IJfRHePGgiFd/jzf/jds2B219MPB4b4aZeUEquDau++2srW9sbm2Xdsq7e/sHh5Wj47ZOMsWwxRKRqG5ANQousWW4EdhNFdI4ENgJoruZ33lCpXkiH80kRT+mI8lDzqixUqc5yB8uo+mgUnVr7hxklXgFqUKBxqDy1R8mLItRGiao1j3PTY2fU2U4Ezgt9zONKWURHWHPUklj1H4+P3dKzq0yJGGibElD5urviZzGWk/iwHbG1Iz1sjcT//N6mQlv/ZzLNDMo2WJRmAliEjL7nQy5QmbExBLKFLe3EjamijJjEyrbELzll1dJ+6rmuTWveV2t14s4SnAKZ3ABHtxAHe6hAS1gEMEzvMKbkzovzrvzsWhdc4qZE/gD5/MH73GPSQ==</latexit><latexit sha1_base64="sOizELSJQrCfgL6Lilfu5Md/SeA=">AAAB83icbVBNS8NAEJ3Ur1q/qh69LBbBU0jEr2PBi8cK/YImlM122i7dbMLuRiihf8OLB0W8+me8+W/ctjlo9cHA470ZZuZFqeDaeN6XU1pb39jcKm9Xdnb39g+qh0dtnWSKYYslIlHdiGoUXGLLcCOwmyqkcSSwE03u5n7nEZXmiWyaaYphTEeSDzmjxkqB517lgYpJE9uzfrXmud4C5C/xC1KDAo1+9TMYJCyLURomqNY930tNmFNlOBM4qwSZxpSyCR1hz1JJY9Rhvrh5Rs6sMiDDRNmShizUnxM5jbWexpHtjKkZ61VvLv7n9TIzvA1zLtPMoGTLRcNMEJOQeQBkwBUyI6aWUKa4vZWwMVWUGRtTxYbgr778l7QvXN9z/YfLWv26iKMMJ3AK5+DDDdThHhrQAgYpPMELvDqZ8+y8Oe/L1pJTzBzDLzgf39YykNs=</latexit>

0.5TeV

suppressed by q<latexit sha1_base64="x5ZlK98UsMSlM1UFKMC6xnmABQA=">AAAB+nicbZDLSsNAFIZP6q3WW6pLN4NFcGNJRNCFi4IbV1LBXqCNYTKZtEMnF2cmSol5FDcuFHHrk7jzbZy2WWjrDwMf/zmHc+b3Es6ksqxvo7S0vLK6Vl6vbGxube+Y1d22jFNBaIvEPBZdD0vKWURbiilOu4mgOPQ47Xijy0m980CFZHF0q8YJdUI8iFjACFbacs3q/V12fO2mOZqBn7tmzapbU6FFsAuoQaGma371/ZikIY0U4VjKnm0lysmwUIxwmlf6qaQJJiM8oD2NEQ6pdLLp6Tk61I6PgljoFyk0dX9PZDiUchx6ujPEaijnaxPzv1ovVcG5k7EoSRWNyGxRkHKkYjTJAflMUKL4WAMmgulbERligYnSaVV0CPb8lxehfVK3rbp9c1prXBRxlGEfDuAIbDiDBlxBE1pA4BGe4RXejCfjxXg3PmatJaOY2YM/Mj5/AJmJk4o=</latexit>

Nu

, q

Nd

Gear production and decay
The Flavour Gears
SM<latexit sha1_base64="Lu7Q99qyqVCOLztBPMJ7PQ446WE=">AAAB73icbVA9SwNBEJ2LXzF+RS1tFoNgFe5E0DJgYyNENDGQHGFvM0mW7O6du3tCOPInbCwUsfXv2Plv3CRXaOKDgcd7M8zMixLBjfX9b6+wsrq2vlHcLG1t7+zulfcPmiZONcMGi0WsWxE1KLjChuVWYCvRSGUk8CEaXU39hyfUhsfq3o4TDCUdKN7njFontbKOluTuZtItV/yqPwNZJkFOKpCj3i1/dXoxSyUqywQ1ph34iQ0zqi1nAielTmowoWxEB9h2VFGJJsxm907IiVN6pB9rV8qSmfp7IqPSmLGMXKekdmgWvan4n9dObf8yzLhKUouKzRf1U0FsTKbPkx7XyKwYO0KZ5u5WwoZUU2ZdRCUXQrD48jJpnlUDvxrcnldqtTyOIhzBMZxCABdQg2uoQwMYCHiGV3jzHr0X7937mLcWvHzmEP7A+/wBtYKPuw==</latexit>

(i)
(j)
0
NQ(i)
k
+ YU ij Q̄L q
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Nu(j) (j)+ YU ij Q̄L,k fQ(i) H̃quR

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H3L
dR,1

uH2L
R,1

uH1L
L,1

H1L
dL,1

H2L
dR,1

H1L
dR,2

uH1L
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H1L
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H2L
dL,1

uH1L
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uH2L
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t

uH1L
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b

H2L
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uH1L
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uH1L
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H1L
dL,3
H1L
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H1L
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H1L
dR,3

H3L
dR,1

H2L
dR,1

H2L
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4⇥ Br

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1

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1803.09678

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M > 1.3TeV

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Hemisphere
Reconstruction

13TeV LHC
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fraction of events

0.20

H1L
H1L
H2L
uH1L
R,1 dL,1 uR,4 dL,2

b t

0.15
0.10
0.05
0.00

0

500

1000

1500

2000

invariant mass@GeVD

2500

3000

Symmetry origin and FN
Can we justify the fermion CW mass matrix with symmetry?

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R,0

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sha1_base64="hP+6LrUf2d3tZaldqaQQvEKMXyw=">AAAB2XicbZDNSgMxFIXv1L86Vq1rN8EiuCozbnQpuHFZwbZCO5RM5k4bmskMyR2hDH0BF25EfC93vo3pz0JbDwQ+zknIvSculLQUBN9ebWd3b/+gfugfNfzjk9Nmo2fz0gjsilzl5jnmFpXU2CVJCp8LgzyLFfbj6f0i77+gsTLXTzQrMMr4WMtUCk7O6oyaraAdLMW2IVxDC9YaNb+GSS7KDDUJxa0dhEFBUcUNSaFw7g9LiwUXUz7GgUPNM7RRtRxzzi6dk7A0N+5oYkv394uKZ9bOstjdzDhN7Ga2MP/LBiWlt1EldVESarH6KC0Vo5wtdmaJNChIzRxwYaSblYkJN1yQa8Z3HYSbG29D77odBu3wMYA6nMMFXEEIN3AHD9CBLghI4BXevYn35n2suqp569LO4I+8zx84xIo4</latexit>
sha1_base64="znZbElQCLF9KwAu4gQuX7rs/G6w=">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</latexit>
sha1_base64="GKIVwRn5qiYy2tl6sAZVlsS6d3E=">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</latexit>

¯L,N

0

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R,1

...
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1
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0
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...
...
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Symmetry origin and FN
Can we justify the fermion CW mass matrix with symmetry?

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sha1_base64="GKIVwRn5qiYy2tl6sAZVlsS6d3E=">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</latexit>

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...

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Symmetry origin and FN
Can we justify the fermion CW mass matrix with symmetry?
ChargeU (1)H

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...

¯L,1

0

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h i = qm
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2

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1
q
..
.

0
1
..
.

...
...
..
.

···

0

q

R,N

1
0
0C
C
C,
0A ⇤
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1
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Symmetry origin and FN
Is it different really?
.

U (1)HU (1)A

CW

−Nq

0

+1
0
−1

U (1)HU (1)A

QL,Nq−1

QL
−Λ

FN

0

−Nq + 1

QR,Nq

⟨φ∗ ⟩

−Λ

QL,0
···

QR,Nq−1

−Nq

H

uR,0

0

−Nq + 1−1

⟨φ⟩

QL,Nq−1−Λ

QR,Nq−1

⟨φ⟩

uL,1

uL,Nu

⟨φ∗ ⟩

−Λ

uR,1

⟨φ∗ ⟩ · · ·0Nu − 1uL,0uL,Nu−1

−Λ

QL

Nu

−Λ

uR

⟨φ∗ ⟩

+1
0

1

QL,0 H uR,0
···

−Λ

QR,0

···

−Λ

uR,Nu−1

Nu

⟨φ⟩

uR

Summary• Flavour is an outstanding andlongstanding puzzle• Symmetry might once again
illuminate our path

• FN = CW with a twist• What is more, the models

presented here aimed ataddressing flavour do not suﬀer
from the flavour problem

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mu ⇠

7

, mc ⇠

3, mt ⇠ 1,

md ⇠7, ms ⇠

5, mb ⇠

2,

Trying

Spurion Analysis: MFV
MLFVbounds on 4 fermion Ops
LEP Bound
~TeV

GLF

E

Better Flavor Screening!

5
60

LLandau >10M
Nf

50
3

40

LLandau >100M

30
1

2

3
M@TeVD

4

2
5

N gears4